{
  "label": "source-rebuild",
  "cwd": "WORKSPACE\\output\\full_fresh_audit_2026-09-06_102854\\reproduction",
  "executable": "WORKSPACE\\tmp\\lean_library_definition_audit_2026-09-05\\lean-4.34.0-rc2-windows\\bin\\lake.exe",
  "arguments": [
    "--no-cache",
    "build",
    "+ComplementedSubspace:olean"
  ],
  "windows_command_line": "\"WORKSPACE\\tmp\\lean_library_definition_audit_2026-09-05\\lean-4.34.0-rc2-windows\\bin\\lake.exe\" --no-cache build +ComplementedSubspace:olean",
  "started": "2026-09-06T10:45:09.967092+00:00",
  "environment": {
    "PATH": "WORKSPACE\\tmp\\lean_library_definition_audit_2026-09-05\\lean-4.34.0-rc2-windows\\bin;USER_HOME\\.codex\\tmp\\arg0\\codex-arg0rksJmG;USER_HOME\\.cache\\codex-runtimes\\codex-primary-runtime\\dependencies\\native\\libheif\\libheif\\bin;USER_HOME\\.cache\\codex-runtimes\\codex-primary-runtime\\dependencies\\native\\jxrlib\\jxrlib\\bin;USER_HOME\\.cache\\codex-runtimes\\codex-primary-runtime\\dependencies\\native\\poppler\\Library\\bin;USER_HOME\\.cache\\codex-runtimes\\codex-primary-runtime\\dependencies\\bin\\override;C:\\WINDOWS\\system32;C:\\WINDOWS;C:\\WINDOWS\\System32\\Wbem;C:\\WINDOWS\\System32\\WindowsPowerShell\\v1.0\\;C:\\WINDOWS\\System32\\OpenSSH\\;C:\\Program Files\\dotnet\\;C:\\Program Files\\Git\\cmd;USER_HOME\\.cache\\codex-runtimes\\codex-primary-runtime\\dependencies\\native\\powershell;USER_HOME\\AppData\\Local\\Microsoft\\WindowsApps;USER_HOME\\AppData\\Local\\Programs\\MiKTeX\\miktex\\bin\\x64\\;USER_HOME\\AppData\\Local\\Programs\\Microsoft VS Code\\bin;USER_HOME\\.cache\\codex-runtimes\\codex-primary-runtime\\dependencies\\bin\\fallback;USER_HOME\\.cache\\codex-runtimes\\codex-primary-runtime\\dependencies\\node\\bin;USER_HOME\\.cache\\codex-runtimes\\codex-primary-runtime\\dependencies\\native\\git\\cmd;USER_HOME\\AppData\\Local\\OpenAI\\Codex\\bin\\80b8e5c230e43848;USER_HOME\\AppData\\Local\\OpenAI\\Codex\\bin\\27d6a192e9c98618",
    "PYTHONIOENCODING": "utf-8",
    "LAKE_ARTIFACT_CACHE": "false",
    "LAKE_RESTORE_ARTIFACTS": "false",
    "LAKE_CACHE_DIR": "WORKSPACE\\output\\full_fresh_audit_2026-09-06_102854\\isolated-lake-cache",
    "MATHLIB_NO_CACHE_ON_UPDATE": "1",
    "LEAN_NUM_THREADS": "4"
  },
  "stdout": "source-rebuild.stdout.log",
  "stderr": "source-rebuild.stderr.log",
  "timeout_seconds": 8924.032907485962,
  "pid": 28088,
  "exit_code": 0,
  "timed_out": false,
  "status": "PASS",
  "ended": "2026-09-06T12:40:06.608068+00:00",
  "elapsed_seconds": 6896.593999999997
}

STDOUT (verbatim)
✔ [4/15] Built Aesop.Script.Tactic (1.2s)
✔ [5/15] Built Batteries.Lean.Meta.Basic (1.2s)
✔ [6/15] Built Aesop.Script.GoalWithMVars (1.1s)
✔ [7/15] Built Aesop.Nanos (1.1s)
✔ [8/17] Built Aesop.Script.TacticState (1.2s)
✔ [9/17] Built Batteries.Data.Array.Merge (1.6s)
✔ [10/23] Built Aesop.Index.DiscrTreeConfig (1.5s)
✔ [11/23] Built Batteries.Tactic.PermuteGoals (1.6s)
✔ [12/24] Built Batteries.Lean.MonadBacktrack (946ms)
✔ [13/26] Built Aesop.Util.UnorderedArraySet (1.2s)
✔ [14/26] Built Aesop.Check (1.2s)
✔ [15/26] Built Batteries.Lean.Meta.SavedState (1.1s)
✔ [16/28] Built Aesop.Rule.Name (1.3s)
✔ [17/29] Built Aesop.Util.EqualUpToIds (2.7s)
✔ [18/33] Built Aesop.Options.Public (1.2s)
✔ [19/38] Built Aesop.Util.Basic (2.4s)
✔ [20/38] Built Aesop.Script.OptimizeSyntax (1.4s)
✔ [21/38] Built Aesop.Options.Internal (1.1s)
✔ [22/38] Built Aesop.Forward.LevelIndex (1.0s)
✔ [23/38] Built Aesop.Forward.PremiseIndex (1.0s)
✔ [24/42] Built Aesop.Percent (1.1s)
✔ [25/44] Built Aesop.Script.Util (1.4s)
✔ [26/45] Built Aesop.Tracing (1.7s)
✔ [27/45] Built Aesop.Forward.SlotIndex (1.0s)
✔ [28/47] Built Aesop.Forward.Substitution (1.6s)
✔ [29/47] Built Aesop.Util.UnionFind (1.1s)
✔ [30/47] Built Aesop.Stats.Basic (1.9s)
✔ [31/47] Built Aesop.RulePattern.Cache (1.3s)
✔ [32/49] Built Aesop.Index.Basic (1.4s)
✔ [33/49] Built Aesop.Script.Step (1.9s)
✔ [34/53] Built Aesop.BaseM (1.4s)
✔ [35/54] Built Batteries.CodeAction.Deprecated (1.8s)
✔ [36/54] Built Aesop.Script.SScript (1.4s)
✔ [37/54] Built Batteries.Tactic.Unreachable (1.6s)
✔ [38/54] Built Aesop.Script.UScript (1.3s)
✔ [39/55] Built Batteries.Lean.TagAttribute (1.1s)
✔ [40/55] Built Aesop.RuleTac.GoalDiff (1.7s)
✔ [41/55] Built Aesop.RulePattern (2.0s)
✔ [42/55] Built Batteries.Tactic.Init (1.8s)
✔ [43/55] Built Batteries.Tactic.Alias (2.3s)
✔ [44/55] Built Batteries.Linter.UnreachableTactic (1.6s)
✔ [45/55] Built Aesop.Script.UScriptToSScript (1.7s)
✔ [46/57] Built Aesop.Script.Check (1.4s)
✔ [47/57] Built Batteries.Lean.AttributeExtra (1.6s)
✔ [48/64] Built Batteries.Tactic.SeqFocus (1.7s)
✔ [49/64] Built Aesop.RuleTac.Basic (1.4s)
✔ [50/67] Built Aesop.Script.StructureDynamic (2.0s)
✔ [51/71] Built Batteries.Tactic.Lint.Basic (1.5s)
✔ [52/71] Built Aesop.Script.StructureStatic (1.7s)
✔ [53/71] Built Batteries.Linter.UnnecessarySeqFocus (1.8s)
✔ [54/71] Built Batteries.Lean.Syntax (997ms)
✔ [55/71] Built Aesop.RuleTac.RuleTerm (1.1s)
✔ [56/71] Built Batteries.Tactic.Lint.Misc (1.6s)
✔ [57/73] Built Aesop.Script.CtorNames (1.4s)
✔ [58/75] Built Aesop.Script.Main (1.4s)
✔ [59/76] Built Batteries.Linter (1.4s)
✔ [60/77] Built Aesop.ElabM (1.3s)
✔ [61/77] Built Aesop.Util.Tactic.Ext (1.5s)
✔ [62/77] Built Aesop.Script.ScriptM (1.3s)
✔ [63/77] Built Batteries.Lean.Meta.Inaccessible (1.2s)
✔ [64/84] Built Aesop.Util.Tactic (1.1s)
✔ [65/84] Built Batteries.Util.ProofWanted (3.5s)
✔ [66/84] Built Aesop.RuleTac.ElabRuleTerm (1.6s)
✔ [67/86] Built Aesop.Util.Unfold (1.3s)
✔ [68/86] Built Batteries.Lean.Meta.UnusedNames (1.1s)
✔ [69/90] Built Aesop.RuleTac.Forward.Basic (1.5s)
✔ [70/90] Built Batteries.Tactic.Basic (1.6s)
✔ [71/90] Built Aesop.Constants (935ms)
✔ [72/92] Built Aesop.Util.Tactic.Unfold (1.5s)
✔ [73/95] Built Aesop.EMap (1.5s)
✔ [74/95] Built Aesop.Util.OrderedHashSet (1.1s)
✔ [75/98] Built Batteries.Classes.Order (1.8s)
✔ [76/98] Built Batteries.Lean.Meta.Expr (1.0s)
✔ [77/99] Built Batteries.Lean.PersistentHashMap (1.1s)
✔ [78/103] Built Aesop.Script.SpecificTactics (2.5s)
✔ [79/103] Built Batteries.Lean.Meta.InstantiateMVars (1.2s)
✔ [80/111] Built Batteries.Lean.PersistentHashSet (1.0s)
✔ [81/111] Built Batteries.Data.UInt (1.9s)
✔ [82/113] Built Batteries.Lean.Meta.DiscrTree (1.2s)
✔ [83/113] Built Aesop.RuleSet.Name (981ms)
✔ [84/113] Built Batteries.Lean.HashSet (1.0s)
✔ [85/114] Built Aesop.RuleSet.Filter (1.1s)
✔ [86/117] Built Aesop.RuleTac.Apply (1.5s)
✔ [87/118] Built Aesop.Index.RulePattern (1.5s)
✔ [88/118] Built Aesop.RuleTac.Cases (1.6s)
✔ [89/119] Built Aesop.RuleTac.Preprocess (1.4s)
✔ [90/121] Built Batteries.Data.Array.Basic (3.5s)
✔ [91/127] Built Aesop.RuleTac.Tactic (1.5s)
✔ [92/128] Built Aesop.Search.Expansion.Basic (1.4s)
✔ [93/132] Built Aesop.Search.Expansion.Simp (1.3s)
✔ [94/153] Built Aesop.Exception (1.1s)
✔ [95/153] Built Aesop.Forward.RuleInfo (1.8s)
✔ [96/153] Built Batteries.Control.ForInStep.Basic (956ms)
✔ [97/154] Built Batteries.Lean.Expr (1.4s)
✔ [98/157] Built Aesop.Stats.Extension (1.3s)
✔ [99/157] Built Aesop.Stats.File (1.3s)
✔ [100/160] Built Aesop.Rule.Forward (1.4s)
✔ [101/167] Built Aesop.Frontend.Basic (1.1s)
✔ [102/175] Built Aesop.Stats.Report (1.6s)
✔ [103/175] Built Aesop.Forward.Match.Types (1.5s)
✔ [104/177] Built Batteries.Logic (1.6s)
✔ [105/189] Built Batteries.Data.BinomialHeap.Basic (4.4s)
✔ [106/190] Built Mathlib.Tactic.Linter.DirectoryDependency (1.9s)
✔ [107/207] Built Aesop.Index.Forward (1.5s)
✔ [109/211] Built Aesop.RuleTac.Descr (1.3s)
✔ [110/213] Built Batteries.Lean.Position (1.2s)
✔ [111/214] Built ImportGraph.Imports.ImportGraph (1.1s)
✔ [112/214] Built Aesop.Rule.Basic (1.3s)
✔ [113/214] Built ImportGraph.Lean.Environment (1.0s)
✔ [114/214] Built Mathlib.Tactic.Linter.Header (1.0s)
✔ [115/216] Built ImportGraph.Imports.Redundant (1.1s)
✔ [116/216] Built Aesop.Rule (1.4s)
✔ [117/216] Built Aesop.Index (1.8s)
✔ [118/216] Built ImportGraph.Imports.RequiredModules (1.3s)
✔ [119/216] Built Mathlib.Tactic.TypeStar (1.4s)
✔ [120/216] Built Mathlib.Util.ParseCommand (1.6s)
✔ [121/216] Built Mathlib.Lean.Elab.Tactic.Meta (1.5s)
✔ [122/216] Built Mathlib.Tactic.DeclarationNames (1.5s)
✔ [123/216] Built Mathlib.Tactic.Linter.Whitespace (1.9s)
✔ [124/216] Built Mathlib.Tactic.Linter.TacticDocumentation (1.6s)
✔ [125/216] Built Mathlib.Tactic.Linter.UnusedTacticExtension (1.7s)
✔ [126/216] Built Mathlib.Lean.Environment (1.5s)
✔ [127/216] Built Mathlib.Tactic.Linter.PrivateModule (1.6s)
✔ [128/216] Built Mathlib.Tactic.Linter.OldObtain (1.6s)
✔ [129/216] Built Mathlib.Tactic.Linter.Multigoal (1.8s)
✔ [130/216] Built Mathlib.Lean.Expr.Basic (2.2s)
✔ [131/216] Built Mathlib.Tactic.Linter.FlexibleLinter (2.9s)
✔ [132/216] Built Mathlib.Tactic.Linter.InternalConstructor (2.0s)
✔ [133/216] Built Mathlib.Tactic.Linter.HaveILetI (2.0s)
✔ [134/216] Built Mathlib.Tactic.Linter.HashCommandLinter (2.1s)
✔ [135/216] Built Mathlib.Tactic.Linter.GlobalAttributeIn (1.9s)
✔ [136/216] Built Mathlib.Tactic.Linter.EmptyLine (2.1s)
✔ [137/216] Built Mathlib.Tactic.Linter.DocString (2.3s)
✔ [138/216] Built Mathlib.Tactic.Linter.DocPrime (2.3s)
✔ [139/216] Built Mathlib.Tactic.Linter.DeprecatedSyntaxLinter (2.2s)
✔ [140/216] Built Mathlib.Tactic.Linter.AuxLemma (1.9s)
✔ [141/216] Built Mathlib.Tactic.Lemma (1.0s)
✔ [142/218] Built Mathlib.Tactic.AdaptationNote (2.4s)
✔ [143/218] Built Mathlib.Lean.Linter (2.0s)
✔ [144/218] Built Batteries.Util.LibraryNote (2.1s)
✔ [145/218] Built Aesop.RuleSet.Member (1.9s)
✔ [146/218] Built Aesop.Forward.Match (2.8s)
✔ [147/218] Built Aesop.Tree.UnsafeQueue (1.0s)
✔ [148/218] Built Mathlib.Tactic.MinImports (2.6s)
✔ [149/219] Built Mathlib.Lean.ContextInfo (2.2s)
✔ [150/219] Built Mathlib.Tactic.Linter.UnusedTactic (2.3s)
✔ [151/220] Built Mathlib.Lean.Elab.InfoTree (1.0s)
✔ [152/220] Built Mathlib.Tactic.Linter.Style (3.1s)
✔ [153/220] Built ImportGraph.Graph.TransitiveClosure (1.3s)
✔ [154/220] Built Aesop.Builder.Basic (1.6s)
✔ [155/220] Built Aesop.Tree.Data.ForwardRuleMatches (1.7s)
✔ [156/220] Built Batteries.Tactic.HelpCmd (3.2s)
✔ [157/220] Built Aesop.RuleTac.Forward (2.7s)
✔ [158/222] Built Mathlib.Tactic.ExtractGoal (2.5s)
✔ [159/222] Built Mathlib.Tactic.TacticAnalysis (2.3s)
✔ [160/222] Built ImportGraph.Tools.ImportDiff (1.9s)
✔ [161/222] Built Mathlib.Tactic.Linter.UnusedInstancesInType (2.2s)
✔ [162/222] Built ImportGraph.Tools.MinImports (1.8s)
✔ [163/222] Built ImportGraph.Tools.FindHome (2.0s)
✔ [164/222] Built Aesop.Forward.State (6.1s)
✔ [165/222] Built Aesop.Builder.Unfold (1.7s)
✔ [166/222] Built Aesop.Builder.Apply (1.6s)
✔ [167/222] Built Aesop.Builder.Forward (2.4s)
✔ [168/222] Built Aesop.Builder.Tactic (1.7s)
✔ [169/222] Built Aesop.Builder.NormSimp (1.7s)
✔ [170/222] Built Aesop.Builder.Constructors (1.7s)
✔ [171/222] Built Aesop.Builder.Cases (1.7s)
✔ [172/222] Built Aesop.RuleTac (1.6s)
✔ [173/222] Built ImportGraph.Tools.RedundantImports (1.9s)
✔ [174/222] Built Aesop.RuleSet (4.0s)
✔ [175/224] Built Mathlib.Tactic.Linter.OverlappingInstances (2.0s)
✔ [176/224] Built Aesop.Tree.Data (2.6s)
✔ [177/224] Built Mathlib.Tactic.TacticAnalysis.Declarations (3.9s)
✔ [178/224] Built Aesop.Builder.Default (1.8s)
✔ [179/225] Built ImportGraph.Tools (1.8s)
✔ [180/225] Built Aesop.Forward.State.Initial (1.8s)
✔ [181/228] Built Aesop.Forward.State.ApplyGoalDiff (1.8s)
✔ [182/228] Built Aesop.Frontend.Extension.Init (1.5s)
✔ [183/228] Built Aesop.Tree.RunMetaM (1.7s)
✔ [184/228] Built Aesop.Tree.Traversal (1.7s)
✔ [185/228] Built Aesop.Search.Queue.Class (1.6s)
✔ [186/228] Built Batteries.Tactic.OpenPrivate (2.2s)
✔ [187/228] Built Batteries.Tactic.Lint.TypeClass (1.7s)
✔ [188/228] Built Aesop.Frontend.RuleExpr (3.5s)
✔ [189/228] Built Batteries.Tactic.Lint.Frontend (2.6s)
✔ [190/232] Built Aesop.Tree.TreeM (4.6s)
✔ [191/232] Built Aesop.Saturate (4.7s)
✔ [192/232] Built Aesop.Frontend.Extension (1.8s)
✔ [193/233] Built Aesop.Tree.State (1.0s)
✔ [194/233] Built Aesop.Tree.Tracing (2.6s)
✔ [195/233] Built Batteries.Tactic.Lint.Simp (2.6s)
✔ [196/233] Built Aesop.Search.Queue (2.4s)
✔ [197/233] Built Aesop.Search.SearchM (2.2s)
✔ [198/233] Built Aesop.Tree.Free (1.9s)
✔ [199/233] Built Aesop.Tree.Stats (2.0s)
✔ [200/233] Built Aesop.Tree.ExtractScript (2.6s)
✔ [201/233] Built Aesop.Tree.ExtractProof (2.6s)
✔ [202/234] Built Aesop.Forward.State.UpdateGoal (1.0s)
✔ [203/234] Built Aesop.Tree.AddRapp (3.1s)
✔ [204/234] Built Mathlib.Util.CodeActions.BinderPlicity (2.3s)
✔ [205/234] Built Aesop.Frontend.Saturate (2.8s)
✔ [206/234] Built Aesop.Frontend.Tactic (2.8s)
✔ [207/235] Built Aesop.Frontend.Attribute (2.6s)
✔ [208/235] Built Batteries.Lean.NameMapAttribute (1.5s)
✔ [209/235] Built Aesop.Frontend.Command (3.3s)
✔ [210/235] Built Aesop.Tree.Check (2.3s)
✔ [211/236] Built Batteries.Tactic.Lint (1.9s)
✔ [212/236] Built Aesop.Search.RuleSelection (1.9s)
✔ [213/236] Built Mathlib.Util.CodeActions (1.9s)
✔ [214/236] Built Batteries.Tactic.Trans (2.0s)
✔ [215/236] Built Aesop.BuiltinRules.Subst (2.6s)
✔ [216/236] Built Aesop.BuiltinRules.Split (2.7s)
✔ [217/236] Built Aesop.BuiltinRules.Rfl (2.7s)
✔ [218/236] Built Aesop.BuiltinRules.Intros (2.7s)
✔ [219/236] Built Aesop.BuiltinRules.Ext (2.8s)
✔ [220/236] Built Aesop.BuiltinRules.DestructProducts (3.3s)
✔ [221/236] Built Aesop.BuiltinRules.ApplyHyps (3.1s)
✔ [222/238] Built Aesop.BuiltinRules.Assumption (3.2s)
✔ [223/270] Built Aesop.Frontend (2.9s)
✔ [224/272] Built Mathlib.Tactic.Linter.Lint (2.5s)
✔ [225/277] Built Batteries.Util.ExtendedBinder (1.7s)
✔ [226/301] Built Aesop.BuiltinRules (2.6s)
✔ [227/352] Built Aesop.Search.Expansion.Norm (4.1s)
✔ [228/352] Built Batteries.Data.Nat.Basic (1.4s)
✔ [229/352] Built Mathlib.Init (2.9s)
✔ [230/352] Built Batteries.Lean.Except (1.4s)
✔ [231/352] Built Batteries.Tactic.Exact (1.8s)
✔ [232/352] Built Batteries.Data.Nat.Lemmas (2.1s)
✔ [233/352] Built Aesop.Search.Expansion (2.9s)
✔ [234/352] Built Mathlib.Tactic.GCongr.ForwardAttr (3.1s)
✔ [235/352] Built Mathlib.Data.Ordering.Basic (3.3s)
✔ [236/352] Built Mathlib.Util.WithWeakNamespace (3.4s)
✔ [237/352] Built Mathlib.Tactic.Conv (4.1s)
✔ [238/352] Built Mathlib.Lean.Elab.Term (3.3s)
✔ [239/352] Built Mathlib.Tactic.Use (3.6s)
✔ [240/352] Built Mathlib.Tactic.Spread (3.2s)
✔ [241/352] Built Mathlib.Tactic.FastInstance (3.7s)
✔ [242/352] Built Mathlib.Util.CompileInductive (3.8s)
✔ [243/352] Built Mathlib.Tactic.Inhabit (2.0s)
✔ [244/352] Built Mathlib.Basic.IsEmpty.Defs (3.2s)
✔ [245/352] Built Mathlib.Tactic.Core (3.4s)
✔ [246/352] Built Mathlib.Tactic.ExtendDoc (2.0s)
✔ [247/352] Built Mathlib.Tactic.SimpRw (3.2s)
✔ [248/352] Built Mathlib.Lean.PrettyPrinter.Delaborator (3.0s)
✔ [249/352] Built Mathlib.Basic.Nonempty (3.1s)
✔ [250/352] Built Mathlib.Basic.ExistsUnique (3.4s)
✔ [251/352] Built Mathlib.Tactic.Attr.Register (3.5s)
✔ [252/352] Built Mathlib.Tactic.OfNat (3.1s)
✔ [253/352] Built Mathlib.Data.Int.Notation (3.1s)
✔ [254/352] Built Mathlib.Tactic.CrossRefAttribute (4.2s)
✔ [255/352] Built Mathlib.Tactic.DepRewrite (6.1s)
✔ [256/352] Built Mathlib.Tactic.Push.Attr (3.5s)
✔ [257/352] Built Mathlib.Data.Nat.Notation (2.0s)
✔ [258/352] Built Mathlib.Data.Nat.BinaryRec (3.3s)
✔ [259/352] Built Mathlib.Tactic.Simps.NotationClass (3.3s)
✔ [260/352] Built Mathlib.Lean.Name (3.1s)
✔ [261/352] Built Mathlib.Util.AddRelatedDecl (3.6s)
✔ [262/352] Built Mathlib.Lean.Meta (3.0s)
✔ [263/352] Built Mathlib.Tactic.Translate.UnfoldBoundary (3.6s)
✔ [264/352] Built Mathlib.Data.String.Defs (3.2s)
✔ [265/356] Built Mathlib.Tactic.Translate.Attributes (3.1s)
✔ [266/356] Built Mathlib.Tactic.Translate.Reorder (4.7s)
✔ [267/356] Built Mathlib.Tactic.Eqns (3.1s)
✔ [268/356] Built Aesop.Search.ExpandSafePrefix (2.1s)
✔ [269/356] Built Mathlib.Lean.Meta.Simp (3.1s)
✔ [270/356] Built Mathlib.Tactic.ScopedNS (4.4s)
✔ [271/356] Built Mathlib.Tactic.SplitIfs (3.7s)
✔ [272/356] Built Mathlib.Basic.Nontrivial.Defs (3.9s)
✔ [273/356] Built Mathlib.Logic.Function.Defs (4.4s)
✔ [274/356] Built Mathlib.Data.Nat.Init (4.4s)
✔ [275/358] Built Mathlib.Data.Int.Init (4.7s)
✔ [276/358] Built Mathlib.Tactic.Translate.GuessName (3.5s)
✔ [277/358] Built Mathlib.Tactic.MkIffOfInductiveProp (3.9s)
✔ [278/358] Built Mathlib.Lean.Meta.CongrTheorems (3.9s)
✔ [279/358] Built Aesop.Search.Main (4.1s)
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✔ [452/469] Built ProofWidgets.Component.MakeEditLink (1.8s)
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✔ [454/469] Built Mathlib.Tactic.GRewrite.Core (5.7s)
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✔ [456/476] Built Mathlib.Lean.FoldEnvironment (3.0s)
✔ [457/477] Built ProofWidgets.Data.Html (3.9s)
✔ [458/478] Built Mathlib.Tactic.GRewrite.Elab (4.8s)
✔ [459/479] Built Mathlib.Lean.Meta.RefinedDiscrTree.Basic (3.4s)
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✔ [461/479] Built ProofWidgets.Component.RefreshComponent (2.6s)
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✔ [465/482] Built Mathlib.Lean.Meta.RefinedDiscrTree.Initialize (3.6s)
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✔ [469/485] Built Mathlib.Lean.Meta.RefinedDiscrTree.Lookup (3.8s)
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✔ [989/1008] Built Mathlib.Tactic.Ring.RingNF (8.9s)
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✔ [1245/1275] Built Mathlib.Data.Fin.Tuple.Reflection (8.8s)
✔ [1246/1276] Built Mathlib.Tactic.Algebra.Lemmas (10s)
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✔ [1248/1276] Built Mathlib.Algebra.Group.Finsupp (13s)
✔ [1249/1277] Built Mathlib.Tactic.NormNum.Eq (13s)
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✔ [1254/1279] Built Mathlib.Algebra.Order.GroupWithZero.Submonoid (5.2s)
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✔ [1264/1288] Built Mathlib.Tactic.LinearCombination.Lemmas (10s)
✔ [1265/1288] Built Mathlib.Algebra.NoZeroSMulDivisors.Defs (9.9s)
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✔ [1277/1299] Built Mathlib.Tactic.FieldSimp.Discharger (12s)
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✔ [1279/1299] Built Mathlib.LinearAlgebra.AffineSpace.AffineMap (26s)
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✔ [1283/1303] Built Mathlib.Tactic.NoncommRing (8.6s)
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✔ [1287/1307] Built Mathlib.Tactic.FieldSimp (21s)
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✔ [1292/1311] Built Mathlib.Tactic.DeriveFintype (8.6s)
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✔ [1344/1363] Built Mathlib.Tactic.Linarith.Lemmas (9.2s)
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✔ [1346/1363] Built Mathlib.Tactic.NormNum (10s)
✔ [1347/1364] Built Mathlib.Tactic.Linarith.Oracle.SimplexAlgorithm.Datatypes (2.4s)
✔ [1348/1364] Built Mathlib.LinearAlgebra.Projection (18s)
✔ [1349/1364] Built Mathlib.Tactic.Linarith.Oracle.SimplexAlgorithm.SimplexAlgorithm (3.1s)
✔ [1350/1364] Built Mathlib.Tactic.Linarith.Oracle.SimplexAlgorithm.Gauss (2.9s)
✔ [1351/1366] Built Mathlib.Lean.Meta.Tactic.Rewrite (2.6s)
✔ [1352/1368] Built Mathlib.Tactic.Linarith.Oracle.SimplexAlgorithm.PositiveVector (2.4s)
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✔ [1370/1382] Built Mathlib.Tactic.Linarith.Frontend (11s)
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✔ [1481/1501] Built Mathlib.Algebra.MonoidAlgebra.Opposite (11s)
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✔ [1488/1510] Built Mathlib.Algebra.MonoidAlgebra.NoZeroDivisors (12s)
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✔ [1492/1512] Built Mathlib.Algebra.Order.Nonneg.Module (9.6s)
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✔ [1510/1527] Built Mathlib.Order.Interval.Set.OrdConnectedComponent (9.7s)
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✔ [1537/1564] Built Mathlib.Order.Filter.AtTopBot.Finite (10s)
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✔ [1539/1568] Built Mathlib.Topology.ContinuousMap.Defs (5.0s)
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✔ [1542/1568] Built Mathlib.Order.Filter.AtTopBot.CountablyGenerated (11s)
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✔ [1552/1579] Built Mathlib.Order.Filter.Ultrafilter.Defs (11s)
✔ [1553/1579] Built Mathlib.Tactic.TautoSet (6.2s)
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✔ [1555/1579] Built Mathlib.Topology.WithTopology (11s)
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✔ [1557/1586] Built Mathlib.Topology.Defs.Ultrafilter (9.3s)
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✔ [1559/1594] Built Mathlib.Order.UpperLower.Fibration (9.4s)
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✔ [1566/1606] Built Mathlib.Data.Set.BoolIndicator (6.5s)
✔ [1567/1606] Built Mathlib.Order.SuccPred.Relation (9.1s)
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✔ [1570/1606] Built Mathlib.Data.Set.Subset (6.6s)
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✔ [1572/1607] Built Mathlib.Tactic.Group (8.9s)
✔ [1573/1608] Built Mathlib.Topology.Ultrafilter (8.2s)
✔ [1574/1618] Built Mathlib.Topology.Separation.SeparatedNhds (10s)
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✔ [1576/1622] Built Mathlib.Basic.Rel (10s)
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✔ [1578/1622] Built Mathlib.Algebra.Order.Nonneg.Floor (10s)
✔ [1579/1642] Built Mathlib.Algebra.Order.Module.Pointwise (9.3s)
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✔ [1582/1647] Built Mathlib.Basic.Rel.Cover (7.0s)
✔ [1583/1653] Built Mathlib.Topology.Bornology.Constructions (11s)
✔ [1584/1653] Built Mathlib.Order.Filter.AtTopBot.CompleteLattice (7.8s)
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✔ [1586/1653] Built Mathlib.Topology.Maps.OpenQuotient (9.6s)
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✔ [1591/1656] Built Mathlib.Algebra.Group.EvenFunction (8.0s)
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✔ [1597/1672] Built Mathlib.Topology.Constructions.SumProd (17s)
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✔ [1611/1700] Built Mathlib.Data.Fintype.Pigeonhole (9.7s)
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✔ [1631/1706] Built Mathlib.Algebra.Order.BigOperators.Group.LocallyFinite (10s)
✔ [1632/1707] Built Mathlib.Topology.Compactness.LocallyFinite (8.0s)
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✔ [1634/1708] Built Mathlib.Topology.UniformSpace.Compact (8.5s)
✔ [1635/1708] Built Mathlib.Topology.Compactness.LocallyCompact (8.7s)
✔ [1636/1710] Built Mathlib.Tactic.Order.CollectFacts (6.9s)
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✔ [1638/1715] Built Mathlib.Tactic.Order.Graph.Basic (5.4s)
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✔ [1651/1733] Built Mathlib.Algebra.Ring.Torsion (4.0s)
✔ [1652/1736] Built Mathlib.Data.Int.ConditionallyCompleteOrder (5.0s)
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✔ [1655/1744] Built Mathlib.GroupTheory.Congruence.Basic (9.4s)
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✔ [1659/1746] Built Mathlib.GroupTheory.Congruence.Opposite (7.7s)
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✔ [1661/1746] Built Mathlib.Algebra.BigOperators.Balance (9.6s)
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✔ [1667/1749] Built Mathlib.RingTheory.Congruence.Opposite (10s)
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✔ [1669/1751] Built Mathlib.Algebra.Order.Group.Opposite (7.6s)
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✔ [1677/1755] Built Mathlib.Algebra.Order.BigOperators.Expect (14s)
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✔ [1679/1755] Built Mathlib.Tactic.ContinuousFunctionalCalculus (2.6s)
✔ [1680/1755] Built Mathlib.Topology.Order.MonotoneConvergence (11s)
✔ [1681/1755] Built Mathlib.Topology.Order.LeftRightNhds (14s)
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✔ [1686/1756] Built Mathlib.Topology.Order.MonotoneContinuity (12s)
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✔ [1891/1904] Built Mathlib.Analysis.Normed.MulAction (14s)
✔ [1892/1905] Built Mathlib.LinearAlgebra.TensorProduct.Associator (18s)
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✔ [1895/1912] Built Mathlib.GroupTheory.Abelianization.Defs (9.7s)
✔ [1896/1912] Built Mathlib.Analysis.Normed.Operator.ContinuousLinearMap (13s)
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✔ [1904/1919] Built Mathlib.Algebra.BigOperators.RingEquiv (8.9s)
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✔ [1918/1934] Built Mathlib.Data.Matrix.Mul (17s)
✔ [1919/1934] Built Mathlib.Algebra.Order.Monoid.Submonoid (6.3s)
✔ [1920/1934] Built Mathlib.LinearAlgebra.TensorProduct.Basis (13s)
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✔ [1922/1939] Built Mathlib.RingTheory.AlgebraTower (11s)
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✔ [1926/1946] Built Mathlib.Topology.Algebra.Module.ContinuousLinearMap.RestrictScalars (10s)
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✔ [1929/1950] Built Mathlib.Topology.Instances.RealVectorSpace (11s)
✔ [1930/1950] Built Mathlib.Analysis.Asymptotics.Defs (12s)
✔ [1931/1950] Built Mathlib.Data.Matrix.Basis (14s)
✔ [1932/1950] Built Mathlib.Topology.Algebra.Algebra (17s)
✔ [1933/1950] Built Mathlib.Basic.Real.ENatENNReal (13s)
✔ [1934/1950] Built Mathlib.Tactic.Bound (12s)
✔ [1935/1950] Built Mathlib.Data.Matrix.Composition (12s)
✔ [1936/1950] Built Mathlib.LinearAlgebra.Matrix.StdBasis (10s)
✔ [1937/1953] Built Mathlib.Analysis.Asymptotics.Basic (14s)
✔ [1938/1956] Built Mathlib.LinearAlgebra.Matrix.ConjTranspose (12s)
✔ [1939/1956] Built Mathlib.Logic.Equiv.PartialEquiv (7.3s)
✔ [1940/1958] Built Mathlib.Topology.Algebra.Algebra.Equiv (12s)
✔ [1941/1961] Built Mathlib.Analysis.Asymptotics.Arith (13s)
✔ [1942/1961] Built Mathlib.Topology.Algebra.InfiniteSum.ENNReal (18s)
✔ [1943/1961] Built Mathlib.Data.Matrix.Block (11s)
✔ [1944/1961] Built Mathlib.LinearAlgebra.Matrix.RowCol (10s)
✔ [1945/1961] Built Mathlib.Topology.PartialHomeomorph.Defs (11s)
✔ [1946/1961] Built Mathlib.Order.Filter.AtTopBot.Archimedean (10s)
✔ [1947/1961] Built Mathlib.Analysis.Asymptotics.Prod (11s)
✔ [1948/1961] Built Mathlib.Analysis.Asymptotics.Ring (11s)
✔ [1949/1964] Built Mathlib.Analysis.Normed.Group.InfiniteSum (10s)
✔ [1950/1967] Built Mathlib.LinearAlgebra.Matrix.Notation (12s)
✔ [1951/1967] Built Mathlib.Topology.PartialHomeomorph.Basic (9.2s)
✔ [1952/1967] Built Mathlib.Topology.OpenPartialHomeomorph.Defs (8.9s)
✔ [1953/1967] Built Mathlib.Algebra.Field.GeomSum (8.7s)
✔ [1954/1968] Built Mathlib.Tactic.NormNum.NatFactorial (9.3s)
✔ [1955/1969] Built Mathlib.Tactic.NormNum.BigOperators (11s)
✔ [1956/1969] Built Mathlib.Topology.OpenPartialHomeomorph.Basic (8.8s)
✔ [1957/1969] Built Mathlib.Algebra.BigOperators.Module (9.2s)
✔ [1958/1971] Built Mathlib.Algebra.Order.CauSeq.BigOperators (11s)
✔ [1959/1971] Built Mathlib.Algebra.Order.Field.Power (9.6s)
✔ [1960/1973] Built Mathlib.LinearAlgebra.Matrix.ToLin (22s)
✔ [1961/1973] Built Mathlib.Topology.OpenPartialHomeomorph.Continuity (8.8s)
✔ [1962/1973] Built Mathlib.Topology.Algebra.InfiniteSum.Real (10s)
✔ [1963/1973] Built Mathlib.Analysis.Complex.Exponential (16s)
✔ [1964/1973] Built Mathlib.Topology.Order.Lattice (9.9s)
✔ [1965/1973] Built Mathlib.LinearAlgebra.Complex.Module (17s)
✔ [1966/1975] Built Mathlib.Analysis.Normed.Order.Lattice (12s)
✔ [1967/1975] Built Mathlib.Analysis.Normed.Ring.InfiniteSum (14s)
✔ [1968/1975] Built Mathlib.Analysis.Asymptotics.Lemmas (20s)
✔ [1969/1975] Built Mathlib.Analysis.Complex.Trigonometric (15s)
✔ [1970/1981] Built Mathlib.Algebra.BigOperators.Associated (8.5s)
✔ [1971/1982] Built Mathlib.Data.Nat.Cast.Order.Field (7.8s)
✔ [1972/1982] Built Mathlib.Analysis.Asymptotics.Theta (12s)
✔ [1973/1983] Built Mathlib.Analysis.Complex.Basic (17s)
✔ [1974/1983] Built Mathlib.Data.Nat.Factorial.BigOperators (9.2s)
✔ [1975/1983] Built Mathlib.Topology.Semicontinuity.Defs (12s)
✔ [1976/1985] Built Mathlib.Data.EReal.Inv (13s)
✔ [1977/1986] Built Mathlib.Combinatorics.Enumerative.Stirling (11s)
✔ [1978/1989] Built Mathlib.Data.Nat.Choose.Bounds (9.1s)
✔ [1979/1989] Built Mathlib.Analysis.Complex.Asymptotics (15s)
✔ [1980/1989] Built Mathlib.Order.Filter.AtTopBot.ModEq (8.3s)
✔ [1981/1991] Built Mathlib.Topology.Semicontinuity.Basic (16s)
✔ [1982/1994] Built Mathlib.Topology.Algebra.MetricSpace.Lipschitz (12s)
✔ [1983/1994] Built Mathlib.LinearAlgebra.Quotient.Card (8.8s)
✔ [1984/1994] Built Mathlib.Topology.Order.AtTopBotIxx (17s)
✔ [1985/1995] Built Mathlib.Algebra.Ring.Action.Submonoid (9.9s)
✔ [1986/1995] Built Mathlib.Algebra.Ring.Fin (10s)
✔ [1987/2000] Built Mathlib.Topology.Instances.EReal.Lemmas (17s)
✔ [1988/2000] Built Mathlib.LinearAlgebra.Isomorphisms (13s)
✔ [1989/2000] Built Mathlib.Algebra.Algebra.Subalgebra.Operations (13s)
✔ [1990/2005] Built Mathlib.GroupTheory.QuotientGroup.Finite (11s)
✔ [1991/2005] Built Mathlib.RingTheory.Ideal.Quotient.Defs (11s)
✔ [1992/2008] Built Mathlib.Topology.Order.ProjIcc (10s)
✔ [1993/2011] Built Mathlib.Analysis.SpecificLimits.Basic (16s)
✔ [1994/2011] Built Mathlib.Analysis.Normed.Module.RCLike.Real (13s)
✔ [1995/2011] Built Mathlib.RingTheory.Ideal.Quotient.Basic (12s)
✔ [1996/2011] Built Mathlib.Topology.Hom.ContinuousEvalConst (9.5s)
✔ [1997/2012] Built Mathlib.Topology.MetricSpace.HausdorffDistance (16s)
✔ [1998/2013] Built Mathlib.Topology.UnitInterval (17s)
✔ [1999/2013] Built Mathlib.Analysis.SpecificLimits.Normed (21s)
✔ [2000/2013] Built Mathlib.Topology.Hom.ContinuousEval (10s)
✔ [2001/2014] Built Mathlib.Topology.MetricSpace.Thickening (15s)
✔ [2002/2016] Built Mathlib.Data.Int.SuccPred (8.9s)
✔ [2003/2016] Built Mathlib.Order.Circular (7.6s)
✔ [2004/2016] Built Mathlib.RingTheory.Ideal.Quotient.Operations (27s)
✔ [2005/2016] Built Mathlib.Algebra.Order.Interval.Set.Group (8.7s)
✔ [2006/2018] Built Mathlib.Topology.CompactOpen (13s)
✔ [2007/2018] Built Mathlib.Analysis.SpecialFunctions.Exp (16s)
✔ [2008/2018] Built Mathlib.Analysis.Normed.Group.Pointwise (15s)
✔ [2009/2018] Built Mathlib.GroupTheory.QuotientGroup.ModEq (9.3s)
✔ [2010/2019] Built Mathlib.Algebra.Group.Units.Opposite (6.0s)
✔ [2011/2019] Built Mathlib.Topology.Path (18s)
✔ [2012/2019] Built Mathlib.Analysis.Normed.Group.Quotient (21s)
✔ [2013/2019] Built Mathlib.Analysis.Normed.Module.Ball.Pointwise (13s)
✔ [2014/2019] Built Mathlib.Analysis.SpecialFunctions.Trigonometric.Basic (18s)
✔ [2015/2022] Built Mathlib.Algebra.Ring.AddAut (7.0s)
✔ [2016/2022] Built Mathlib.Data.Nat.Cast.Field (7.7s)
✔ [2017/2025] Built Mathlib.Topology.Connected.PathConnected (12s)
✔ [2018/2026] Built Mathlib.Algebra.Notation.Lemmas (2.9s)
✔ [2019/2030] Built Mathlib.Order.Preorder.Finsupp (10s)
✔ [2020/2031] Built Mathlib.Algebra.Order.Group.Finset (11s)
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✔ [2292/2309] Built Mathlib.LinearAlgebra.FreeModule.StrongRankCondition (10s)
✔ [2293/2311] Built Mathlib.LinearAlgebra.Dimension.Finite (12s)
✔ [2294/2311] Built Mathlib.Algebra.Polynomial.Inductions (10s)
✔ [2295/2311] Built Mathlib.Algebra.Field.Subfield.Basic (12s)
✔ [2296/2311] Built Mathlib.Data.Nat.Digits.Lemmas (12s)
✔ [2297/2311] Built Mathlib.LinearAlgebra.Dimension.RankNullity (12s)
✔ [2298/2311] Built Mathlib.GroupTheory.GroupAction.FixedPoints (9.3s)
✔ [2299/2311] Built Mathlib.LinearAlgebra.FiniteDimensional.Basic (14s)
✔ [2300/2311] Built Mathlib.Algebra.Polynomial.Div (12s)
✔ [2301/2315] Built Mathlib.Data.Nat.Choose.Factorization (10s)
✔ [2302/2315] Built Mathlib.GroupTheory.GroupAction.FixingSubgroup (9.4s)
✔ [2303/2317] Built Mathlib.LinearAlgebra.Dimension.DivisionRing (11s)
✔ [2304/2317] Built Mathlib.Algebra.Polynomial.RingDivision (11s)
✔ [2305/2317] Built Mathlib.GroupTheory.OreLocalization.OreSet (5.5s)
✔ [2306/2323] Built Mathlib.LinearAlgebra.Matrix.NonsingularInverse (13s)
✔ [2307/2328] Built Mathlib.Data.Nat.Multiplicity (11s)
✔ [2308/2329] Built Mathlib.Algebra.Group.TypeTags.Pointwise (6.4s)
✔ [2309/2329] Built Mathlib.LinearAlgebra.FiniteDimensional.Lemmas (14s)
✔ [2310/2329] Built Mathlib.Algebra.Order.Hom.TypeTags (6.2s)
✔ [2311/2331] Built Mathlib.GroupTheory.OreLocalization.Basic (15s)
✔ [2312/2337] Built Mathlib.Algebra.CharP.Lemmas (11s)
✔ [2313/2337] Built Mathlib.Data.ZMod.Aut (9.9s)
✔ [2314/2337] Built Mathlib.RingTheory.OreLocalization.Basic (8.8s)
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✔ [2316/2340] Built Mathlib.Data.Nat.Factorization.LCM (8.6s)
✔ [2317/2340] Built Mathlib.GroupTheory.MonoidLocalization.Basic (15s)
✔ [2318/2340] Built Mathlib.Algebra.CharP.Frobenius (10s)
✔ [2319/2340] Built Mathlib.GroupTheory.Subgroup.Simple (8.9s)
✔ [2320/2340] Built Mathlib.RingTheory.OreLocalization.NonZeroDivisors (8.7s)
✔ [2321/2341] Built Mathlib.Order.Filter.TendstoCofinite (9.4s)
✔ [2322/2341] Built Mathlib.LinearAlgebra.Matrix.Nondegenerate (12s)
✔ [2323/2341] Built Mathlib.GroupTheory.MonoidLocalization.Divisibility (8.7s)
✔ [2324/2341] Built Mathlib.GroupTheory.Exponent (15s)
✔ [2325/2341] Built Mathlib.Algebra.CharP.Reduced (11s)
✔ [2326/2341] Built Mathlib.GroupTheory.MonoidLocalization.Maps (14s)
✔ [2327/2341] Built Mathlib.RingTheory.OreLocalization.Ring (9.8s)
✔ [2328/2350] Built Mathlib.Algebra.Ring.Action.ConjAct (7.3s)
✔ [2329/2351] Built Mathlib.Logic.Equiv.Multiset (9.0s)
✔ [2330/2351] Built Mathlib.GroupTheory.MonoidLocalization.MonoidWithZero (9.5s)
✔ [2331/2354] Built Mathlib.LinearAlgebra.Matrix.InvariantBasisNumber (12s)
✔ [2332/2354] Built Mathlib.GroupTheory.SpecificGroups.Cyclic (18s)
✔ [2333/2354] Built Mathlib.Logic.Equiv.Finset (7.8s)
✔ [2334/2354] Built Mathlib.RingTheory.Finiteness.Projective (9.4s)
✔ [2335/2355] Built Mathlib.LinearAlgebra.SesquilinearForm.Basic (17s)
✔ [2336/2356] Built Mathlib.Logic.Encodable.Pi (7.7s)
✔ [2337/2356] Built Mathlib.RingTheory.Localization.Defs (13s)
✔ [2338/2362] Built Mathlib.GroupTheory.Congruence.BigOperators (8.7s)
✔ [2339/2362] Built Mathlib.Data.W.Basic (7.9s)
✔ [2340/2363] Built Mathlib.RingTheory.TwoSidedIdeal.Operations (10s)
✔ [2341/2363] Built Mathlib.RingTheory.Localization.Integer (9.4s)
✔ [2342/2363] Built Mathlib.RingTheory.TensorProduct.Maps (31s)
✔ [2343/2363] Built Mathlib.RingTheory.Localization.Basic (15s)
✔ [2344/2364] Built Mathlib.RingTheory.Jacobson.Radical (11s)
✔ [2345/2365] Built Mathlib.Data.W.Cardinal (8.4s)
✔ [2346/2365] Built Mathlib.RingTheory.Jacobson.Ideal (10s)
✔ [2347/2365] Built Mathlib.Topology.Algebra.Module.ModuleTopology (14s)
✔ [2348/2365] Built Mathlib.Order.Atoms.Finite (8.2s)
✔ [2349/2365] Built Mathlib.RingTheory.Localization.FractionRing (15s)
✔ [2350/2368] Built Mathlib.Order.CompactlyGenerated.Intervals (8.3s)
✔ [2351/2371] Built Mathlib.SetTheory.Cardinal.Subfield (9.2s)
✔ [2352/2371] Built Mathlib.LinearAlgebra.Matrix.Ideal (11s)
✔ [2353/2372] Built Mathlib.Control.Bifunctor (7.3s)
✔ [2354/2372] Built Mathlib.Algebra.Polynomial.Roots (14s)
✔ [2355/2374] Built Mathlib.RingTheory.Ideal.Colon (12s)
✔ [2356/2374] Built Mathlib.LinearAlgebra.Dimension.ErdosKaplansky (12s)
✔ [2357/2375] Built Mathlib.Logic.Equiv.Functor (6.7s)
✔ [2358/2375] Built Mathlib.RingTheory.SimpleRing.Matrix (9.8s)
✔ [2359/2375] Built Mathlib.Topology.Algebra.Module.ContinuousLinearMap.Quotient (9.0s)
✔ [2360/2375] Built Mathlib.Topology.Algebra.Module.ContinuousLinearMap.Idempotent (13s)
✔ [2361/2375] Built Mathlib.RingTheory.IntegralDomain (12s)
✔ [2362/2379] Built Mathlib.Topology.Algebra.SeparationQuotient.FiniteDimensional (9.5s)
✔ [2363/2379] Built Mathlib.Order.JordanHolder (11s)
✔ [2364/2379] Built Mathlib.LinearAlgebra.Dual.Lemmas (20s)
✔ [2365/2379] Built Mathlib.Topology.Algebra.Module.Complement (13s)
✔ [2366/2379] Built Mathlib.Topology.Homeomorph.Quotient (7.8s)
✔ [2367/2379] Built Mathlib.RingTheory.RootsOfUnity.Basic (11s)
✔ [2368/2381] Built Mathlib.RingTheory.SimpleModule.Basic (15s)
✔ [2369/2383] Built Mathlib.Topology.Maps.Strict.Basic (8.2s)
✔ [2370/2383] Built Mathlib.LinearAlgebra.GeneralLinearGroup.AlgEquiv (11s)
✔ [2371/2386] Built Mathlib.Topology.Algebra.Module.Simple (10s)
✔ [2372/2386] Built Mathlib.Topology.Algebra.NonUnitalAlgebra (11s)
✔ [2373/2386] Built Mathlib.Topology.Algebra.StarSubalgebra (13s)
✔ [2374/2389] Built Mathlib.LinearAlgebra.Matrix.SpecialLinearGroup (20s)
✔ [2375/2389] Built Mathlib.Algebra.Central.Defs (8.9s)
✔ [2376/2389] Built Mathlib.Topology.Algebra.NonUnitalStarAlgebra (13s)
✔ [2377/2389] Built Mathlib.Algebra.Central.Basic (8.5s)
✔ [2378/2389] Built Mathlib.LinearAlgebra.Matrix.GeneralLinearGroup.Defs (15s)
✔ [2379/2389] Built Mathlib.Analysis.InnerProductSpace.Defs (18s)
✔ [2380/2391] Built Mathlib.Algebra.Star.UnitaryStarAlgAut (12s)
✔ [2381/2391] Built Mathlib.LinearAlgebra.Matrix.ToLinearEquiv (12s)
✔ [2382/2395] Built Mathlib.Logic.Equiv.Embedding (5.5s)
✔ [2383/2396] Built Mathlib.Analysis.CStarAlgebra.Classes (23s)
✔ [2384/2396] Built Mathlib.Data.Fintype.CardEmbedding (8.3s)
✔ [2385/2398] Built Mathlib.Analysis.InnerProductSpace.Basic (21s)
✔ [2386/2404] Built Mathlib.LinearAlgebra.Determinant (19s)
✔ [2387/2404] Built Mathlib.Topology.Algebra.Module.Multilinear.Basic (17s)
✔ [2388/2404] Built Mathlib.Analysis.InnerProductSpace.Projection.Minimal (15s)
✔ [2389/2404] Built Mathlib.Analysis.Normed.Operator.Mul (18s)
✔ [2390/2404] Built Mathlib.Topology.Algebra.Ring.Ideal (9.5s)
✔ [2391/2404] Built Mathlib.Topology.Algebra.Module.Determinant (12s)
✔ [2392/2404] Built Mathlib.Topology.Algebra.Module.ContinuousLinearMap.Invertible (11s)
✔ [2393/2409] Built Mathlib.Topology.Algebra.Module.Multilinear.Bounded (14s)
✔ [2394/2409] Built Mathlib.Analysis.Normed.Ring.Units (14s)
✔ [2395/2412] Built Mathlib.Topology.MetricSpace.Gluing (12s)
✔ [2396/2412] Built Mathlib.Analysis.Normed.Group.AddTorsor (11s)
✔ [2397/2412] Built Mathlib.Topology.Algebra.Module.FiniteDimension (24s)
✔ [2398/2414] Built Mathlib.LinearAlgebra.SesquilinearForm.Orthogonal (13s)
✔ [2399/2414] Built Mathlib.Topology.Metrizable.CompletelyMetrizable (11s)
✔ [2400/2414] Built Mathlib.Topology.Algebra.Module.Multilinear.Topology (23s)
✔ [2401/2414] Built Mathlib.Analysis.Asymptotics.AsymptoticEquivalent (13s)
✔ [2402/2418] Built Mathlib.Analysis.Normed.Group.Lemmas (11s)
✔ [2403/2418] Built Mathlib.Topology.Baire.CompleteMetrizable (12s)
✔ [2404/2420] Built ComplementedSubspace.LocalUnconditional (28s)
✔ [2405/2422] Built Mathlib.Topology.Algebra.ContinuousAffineMap (18s)
✔ [2406/2426] Built Mathlib.Analysis.Normed.Module.RCLike.Basic (12s)
✔ [2407/2426] Built Mathlib.Analysis.Normed.Operator.Banach (23s)
✔ [2408/2427] Built Mathlib.Topology.Algebra.ContinuousAffineEquiv (14s)
✔ [2409/2427] Built Mathlib.LinearAlgebra.Matrix.Block (13s)
✔ [2410/2428] Built Mathlib.Analysis.Normed.Module.Multilinear.Basic (36s)
✔ [2411/2430] Built Mathlib.Analysis.Normed.Module.RieszLemma (13s)
✔ [2412/2431] Built Mathlib.LinearAlgebra.Dimension.LinearMap (11s)
✔ [2413/2431] Built Mathlib.Topology.Algebra.AffineSubspace (10s)
✔ [2414/2431] Built Mathlib.Topology.Instances.Matrix (13s)
✔ [2415/2435] Built Mathlib.Algebra.DirectSum.Decomposition (11s)
✔ [2416/2436] Built Mathlib.Analysis.Normed.Operator.BoundedLinearMaps (19s)
✔ [2417/2436] Built Mathlib.Analysis.Normed.Lp.Matrix (13s)
✔ [2418/2438] Built Mathlib.Util.Superscript (2.9s)
✔ [2419/2438] Built Mathlib.Data.Matrix.Reflection (10s)
✔ [2420/2438] Built Mathlib.Analysis.Normed.Group.NullSubmodule (11s)
✔ [2421/2438] Built Mathlib.Analysis.InnerProductSpace.Continuous (13s)
✔ [2422/2438] Built Mathlib.Analysis.Normed.Affine.Isometry (24s)
✔ [2423/2438] Built Mathlib.Topology.Algebra.Module.PerfectPairing (11s)
✔ [2424/2443] Built Mathlib.LinearAlgebra.UnitaryGroup (12s)
✔ [2425/2447] Built Mathlib.Algebra.Group.Submonoid.Support (10s)
✔ [2426/2448] Built Mathlib.Analysis.InnerProductSpace.LinearMap (19s)
✔ [2427/2448] Built Mathlib.Analysis.Normed.Module.FiniteDimension (19s)
✔ [2428/2450] Built Mathlib.Geometry.Convex.Cone.Basic (14s)
✔ [2429/2450] Built Mathlib.Analysis.Convex.Gauge (16s)
✔ [2430/2450] Built Mathlib.Analysis.RCLike.Extend (14s)
✔ [2431/2453] Built Mathlib.Analysis.InnerProductSpace.Orthonormal (14s)
✔ [2432/2454] Built Mathlib.Analysis.RCLike.Lemmas (13s)
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✔ [2434/2454] Built Mathlib.Geometry.Convex.Cone.Pointed (14s)
✔ [2435/2454] Built Mathlib.Analysis.InnerProductSpace.Subspace (14s)
✔ [2436/2458] Built Mathlib.Tactic.Positivity.Finset (10s)
✔ [2437/2459] Built Mathlib.Analysis.Convex.Cone.Extension (10s)
✔ [2438/2459] Built Mathlib.Tactic.Positivity (7.8s)
⚠ [2439/2460] Built ComplementedSubspace.GLRetraction (19s)
warning: ComplementedSubspace/GLRetraction.lean:151:2: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
✔ [2440/2461] Built Mathlib.Analysis.InnerProductSpace.Orthogonal (15s)
✔ [2441/2462] Built Mathlib.Analysis.Normed.Module.Ray (10s)
✔ [2442/2463] Built Mathlib.Analysis.LocallyConvex.Separation (14s)
✔ [2443/2463] Built Mathlib.Analysis.Convex.StrictConvexSpace (11s)
✔ [2444/2464] Built Mathlib.Analysis.InnerProductSpace.Symmetric (14s)
✔ [2445/2465] Built ComplementedSubspace.DPRtoGL (14s)
✔ [2446/2465] Built ComplementedSubspace.Parameters (12s)
✔ [2447/2465] Built Mathlib.Analysis.Convex.Uniform (11s)
✔ [2448/2465] Built Mathlib.Analysis.LocallyConvex.SeparatingDual (15s)
✔ [2449/2469] Built ComplementedSubspace.BasisBounds (12s)
✔ [2450/2471] Built Mathlib.Analysis.InnerProductSpace.Projection.Basic (18s)
✔ [2451/2475] Built ComplementedSubspace.TheoremStatement (12s)
✔ [2452/2475] Built Mathlib.Analysis.Convex.EGauge (11s)
✔ [2453/2477] Built Mathlib.Analysis.Normed.Operator.Asymptotics (10s)
✔ [2454/2477] Built Mathlib.Analysis.InnerProductSpace.Projection.Submodule (13s)
✔ [2455/2477] Built Mathlib.Analysis.Calculus.TangentCone.Defs (9.6s)
✔ [2456/2478] Built Mathlib.Analysis.InnerProductSpace.Projection.Reflection (13s)
✔ [2457/2486] Built ComplementedSubspace.AmbientLattice (12s)
✔ [2458/2495] Built Mathlib.Analysis.Calculus.TangentCone.Basic (10s)
✔ [2459/2495] Built Mathlib.Data.Fintype.Sort (8.2s)
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✔ [2461/2498] Built Mathlib.Analysis.Asymptotics.TVS (18s)
✔ [2462/2498] Built Mathlib.Analysis.Calculus.TangentCone.DimOne (10s)
✔ [2463/2501] Built Mathlib.Analysis.Calculus.TangentCone.Real (9.7s)
✔ [2464/2509] Built Mathlib.LinearAlgebra.Multilinear.Curry (10s)
✔ [2465/2510] Built Mathlib.Analysis.Calculus.FDeriv.Defs (10s)
✔ [2466/2510] Built Mathlib.Topology.Algebra.Module.Alternating.Basic (14s)
✔ [2467/2510] Built Mathlib.Analysis.InnerProductSpace.PiL2 (27s)
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✔ [2470/2513] Built Mathlib.Topology.Algebra.GroupCompletion (10s)
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✔ [2472/2519] Built Mathlib.Analysis.InnerProductSpace.Dual (14s)
✔ [2473/2519] Built Mathlib.Analysis.Matrix.Normed (14s)
✔ [2474/2519] Built Mathlib.Analysis.Calculus.FormalMultilinearSeries (16s)
✔ [2475/2519] Built Mathlib.Analysis.Calculus.FDeriv.RestrictScalars (12s)
✔ [2476/2519] Built Mathlib.Analysis.Calculus.FDeriv.Linear (10s)
✔ [2477/2519] Built Mathlib.Analysis.Calculus.FDeriv.Comp (13s)
✔ [2478/2519] Built Mathlib.Analysis.Calculus.FDeriv.Congr (11s)
✔ [2479/2520] Built Mathlib.Topology.Algebra.UniformRing (11s)
✔ [2480/2520] Built Mathlib.Topology.Algebra.LinearMapCompletion (10s)
✔ [2481/2520] Built Mathlib.Analysis.Normed.Module.Alternating.Basic (19s)
✔ [2482/2520] Built Mathlib.Analysis.Calculus.FDeriv.Const (12s)
✔ [2483/2520] Built Mathlib.Analysis.Analytic.ConvergenceRadius (18s)
✔ [2484/2523] Built Mathlib.Topology.Algebra.UniformField (10s)
✔ [2485/2523] Built Mathlib.Topology.MetricSpace.Completion (11s)
✔ [2486/2526] Built Mathlib.LinearAlgebra.AffineSpace.Slope (11s)
✔ [2487/2526] Built Mathlib.Analysis.InnerProductSpace.Adjoint (38s)
✔ [2488/2526] Built Mathlib.Analysis.Calculus.Deriv.Basic (14s)
✔ [2489/2526] Built Mathlib.Analysis.Analytic.OfScalars (13s)
✔ [2490/2527] Built Mathlib.Analysis.Calculus.FDeriv.Add (21s)
✔ [2491/2527] Built Mathlib.Analysis.Calculus.FDeriv.Prod (24s)
✔ [2492/2527] Built Mathlib.Topology.Perfect (8.5s)
✔ [2493/2527] Built Mathlib.Analysis.Normed.Group.Completion (9.8s)
✔ [2494/2527] Built Mathlib.Topology.LocallyConstant.Basic (10s)
✔ [2495/2527] Built Mathlib.Analysis.Analytic.Basic (24s)
✔ [2496/2527] Built Mathlib.Analysis.Calculus.Deriv.Support (11s)
✔ [2497/2527] Built Mathlib.Analysis.CStarAlgebra.Matrix (19s)
✔ [2498/2527] Built Mathlib.Analysis.Calculus.Deriv.Comp (15s)
✔ [2499/2527] Built Mathlib.Analysis.Calculus.Deriv.Linear (11s)
✔ [2500/2527] Built Mathlib.Analysis.Calculus.Deriv.Add (13s)
✔ [2501/2527] Built Mathlib.Analysis.Calculus.Deriv.Prod (11s)
✔ [2502/2527] Built Mathlib.Analysis.Calculus.FDeriv.Equiv (17s)
✔ [2503/2528] Built Mathlib.Analysis.Calculus.FDeriv.Bilinear (13s)
✔ [2504/2529] Built Mathlib.Topology.Algebra.Module.PerfectSpace (11s)
✔ [2505/2529] Built Mathlib.Analysis.Normed.Module.Completion (11s)
✔ [2506/2529] Built Mathlib.Analysis.Analytic.ChangeOrigin (13s)
✔ [2507/2529] Built ComplementedSubspace.HilbertComplement (14s)
⚠ [2508/2529] Built ComplementedSubspace.HilbertOverlap (14s)
warning: ComplementedSubspace/HilbertOverlap.lean:27:0: automatically included section variable(s) unused in theorem `ComplementedSubspace.hsSq_nonneg`:
  [DecidableEq m]
  [DecidableEq n]
consider restructuring your `variable` declarations so that the variables are not in scope or explicitly omit them:
  omit [DecidableEq m] [DecidableEq n] in theorem ...

Note: This linter can be disabled with `set_option linter.unusedSectionVars false`
warning: ComplementedSubspace/HilbertOverlap.lean:31:0: automatically included section variable(s) unused in theorem `ComplementedSubspace.hsSq_transpose`:
  [DecidableEq m]
  [DecidableEq n]
consider restructuring your `variable` declarations so that the variables are not in scope or explicitly omit them:
  omit [DecidableEq m] [DecidableEq n] in theorem ...

Note: This linter can be disabled with `set_option linter.unusedSectionVars false`
warning: ComplementedSubspace/HilbertOverlap.lean:40:0: automatically included section variable(s) unused in theorem `ComplementedSubspace.sum_sq_mulVec_le`:
  [DecidableEq m]
consider restructuring your `variable` declarations so that the variables are not in scope or explicitly omit them:
  omit [DecidableEq m] in theorem ...

Note: This linter can be disabled with `set_option linter.unusedSectionVars false`
warning: ComplementedSubspace/HilbertOverlap.lean:48:0: automatically included section variable(s) unused in theorem `ComplementedSubspace.hsSq_mul_le`:
  [DecidableEq k]
consider restructuring your `variable` declarations so that the variables are not in scope or explicitly omit them:
  omit [DecidableEq k] in theorem ...

Note: This linter can be disabled with `set_option linter.unusedSectionVars false`
warning: ComplementedSubspace/HilbertOverlap.lean:72:0: automatically included section variable(s) unused in theorem `ComplementedSubspace.diagonal_sq_le_hsSq`:
  [DecidableEq n]
consider restructuring your `variable` declarations so that the variables are not in scope or explicitly omit them:
  omit [DecidableEq n] in theorem ...

Note: This linter can be disabled with `set_option linter.unusedSectionVars false`
warning: ComplementedSubspace/HilbertOverlap.lean:98:0: automatically included section variable(s) unused in theorem `ComplementedSubspace.hsSq_rankOne`:
  [DecidableEq n]
consider restructuring your `variable` declarations so that the variables are not in scope or explicitly omit them:
  omit [DecidableEq n] in theorem ...

Note: This linter can be disabled with `set_option linter.unusedSectionVars false`
warning: ComplementedSubspace/HilbertOverlap.lean:103:0: automatically included section variable(s) unused in theorem `ComplementedSubspace.hsInner_rankOne_eq_diagonal`:
  [Fintype k]
  [DecidableEq n]
  [DecidableEq k]
consider restructuring your `variable` declarations so that the variables are not in scope or explicitly omit them:
  omit [Fintype k] [DecidableEq n] [DecidableEq k] in theorem ...

Note: This linter can be disabled with `set_option linter.unusedSectionVars false`
warning: ComplementedSubspace/HilbertOverlap.lean:213:4: This simp argument is unused:
  Matrix.transpose_apply

Hint: Omit it from the simp argument list.
  [apply] simp [hsSq, circleMomentMap, rankOne, Matrix.vecMulVec_apply, Matrix.trace, Matrix.diag, Fin.sum_univ_two,
    Matrix.one_apply, Matrix.smul_apply]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
✔ [2509/2530] Built Mathlib.Analysis.Calculus.Deriv.AffineMap (10s)
✔ [2510/2530] Built Mathlib.Analysis.Calculus.Deriv.Slope (10s)
✔ [2511/2530] Built Mathlib.Analysis.Analytic.CPolynomialDef (15s)
⚠ [2512/2534] Built ComplementedSubspace.TensorMoment (17s)
warning: ComplementedSubspace/TensorMoment.lean:50:0: automatically included section variable(s) unused in theorem `ComplementedSubspace.hsVector_norm_sq`:
  [DecidableEq m]
  [DecidableEq n]
consider restructuring your `variable` declarations so that the variables are not in scope or explicitly omit them:
  omit [DecidableEq m] [DecidableEq n] in theorem ...

Note: This linter can be disabled with `set_option linter.unusedSectionVars false`
warning: ComplementedSubspace/TensorMoment.lean:51:55: This simp argument is unused:
  PiLp.toLp_apply

Hint: Omit it from the simp argument list.
  [apply] simp only [hsVector, EuclideanSpace.real_norm_sq_eq, Fintype.sum_prod_type, hsSq]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: ComplementedSubspace/TensorMoment.lean:59:0: automatically included section variable(s) unused in theorem `ComplementedSubspace.hsInner_sq_le`:
  [DecidableEq m]
  [DecidableEq n]
consider restructuring your `variable` declarations so that the variables are not in scope or explicitly omit them:
  omit [DecidableEq m] [DecidableEq n] in theorem ...

Note: This linter can be disabled with `set_option linter.unusedSectionVars false`
warning: ComplementedSubspace/TensorMoment.lean:66:0: automatically included section variable(s) unused in theorem `ComplementedSubspace.rankOne_mixed_hsSq_bound`:
  [DecidableEq n]
consider restructuring your `variable` declarations so that the variables are not in scope or explicitly omit them:
  omit [DecidableEq n] in theorem ...

Note: This linter can be disabled with `set_option linter.unusedSectionVars false`
warning: ComplementedSubspace/TensorMoment.lean:107:0: automatically included section variable(s) unused in theorem `ComplementedSubspace.tensor_hsSq_smul`:
  [DecidableEq n]
consider restructuring your `variable` declarations so that the variables are not in scope or explicitly omit them:
  omit [DecidableEq n] in theorem ...

Note: This linter can be disabled with `set_option linter.unusedSectionVars false`
warning: ComplementedSubspace/TensorMoment.lean:110:0: automatically included section variable(s) unused in theorem `ComplementedSubspace.tensor_hsSq_add`:
  [DecidableEq n]
consider restructuring your `variable` declarations so that the variables are not in scope or explicitly omit them:
  omit [DecidableEq n] in theorem ...

Note: This linter can be disabled with `set_option linter.unusedSectionVars false`
warning: ComplementedSubspace/TensorMoment.lean:116:0: automatically included section variable(s) unused in theorem `ComplementedSubspace.tensor_hsInner_smul_left`:
  [DecidableEq n]
consider restructuring your `variable` declarations so that the variables are not in scope or explicitly omit them:
  omit [DecidableEq n] in theorem ...

Note: This linter can be disabled with `set_option linter.unusedSectionVars false`
warning: ComplementedSubspace/TensorMoment.lean:120:0: automatically included section variable(s) unused in theorem `ComplementedSubspace.tensor_hsInner_smul_right`:
  [DecidableEq n]
consider restructuring your `variable` declarations so that the variables are not in scope or explicitly omit them:
  omit [DecidableEq n] in theorem ...

Note: This linter can be disabled with `set_option linter.unusedSectionVars false`
warning: ComplementedSubspace/TensorMoment.lean:125:0: automatically included section variable(s) unused in theorem `ComplementedSubspace.tensor_hsSq_fromBlocks`:
  [DecidableEq n]
consider restructuring your `variable` declarations so that the variables are not in scope or explicitly omit them:
  omit [DecidableEq n] in theorem ...

Note: This linter can be disabled with `set_option linter.unusedSectionVars false`
✔ [2513/2534] Built Mathlib.Analysis.Calculus.FDeriv.CompCLM (21s)
✔ [2514/2541] Built ComplementedSubspace.FiniteFrame (15s)
✔ [2515/2545] Built Mathlib.Analysis.Analytic.Linear (12s)
✔ [2516/2547] Built Mathlib.Analysis.Analytic.Composition (21s)
✔ [2517/2547] Built Mathlib.Analysis.Calculus.FDeriv.Affine (12s)
✔ [2518/2548] Built Mathlib.Analysis.Calculus.FDeriv.OfCompLeft (12s)
✔ [2519/2548] Built Mathlib.Analysis.Calculus.ContDiff.FTaylorSeries (24s)
✔ [2520/2550] Built Mathlib.Topology.OpenPartialHomeomorph.IsImage (9.5s)
✔ [2521/2556] Built Mathlib.Analysis.Analytic.Inverse (18s)
✔ [2522/2556] Built Mathlib.Algebra.Ring.TransferInstance (9.6s)
✔ [2523/2556] Built Mathlib.Analysis.Calculus.Deriv.Inverse (13s)
✔ [2524/2556] Built Mathlib.Data.Nat.Factorial.Cast (7.5s)
✔ [2525/2557] Built Mathlib.Algebra.Algebra.TransferInstance (8.1s)
✔ [2526/2557] Built Mathlib.Topology.MetricSpace.CauSeqFilter (9.8s)
✔ [2527/2565] Built Mathlib.Data.Nat.Choose.Cast (7.8s)
✔ [2528/2565] Built Mathlib.Analysis.Analytic.Constructions (28s)
✔ [2529/2566] Built Mathlib.Topology.ExtendFrom (8.2s)
✔ [2530/2566] Built Mathlib.Analysis.Calculus.LocalExtr.Basic (11s)
✔ [2531/2566] Built Mathlib.Topology.Algebra.Group.Order (9.4s)
✔ [2532/2566] Built Mathlib.Analysis.Analytic.Within (11s)
✔ [2533/2569] Built Mathlib.Analysis.Normed.Algebra.Exponential (13s)
✔ [2534/2572] Built Mathlib.Topology.Order.ExtendFrom (8.1s)
✔ [2535/2572] Built Mathlib.Analysis.Analytic.CPolynomial (15s)
✔ [2536/2572] Built Mathlib.RingTheory.Polynomial.Pochhammer (9.9s)
✔ [2537/2576] Built Mathlib.Tactic.Measurability.Init (4.0s)
✔ [2538/2576] Built Mathlib.Topology.Order.Rolle (8.9s)
✔ [2539/2576] Built Mathlib.Tactic.Measurability (4.1s)
✔ [2540/2576] Built Mathlib.Analysis.Calculus.InverseFunctionTheorem.ApproximatesLinearOn (16s)
✔ [2541/2576] Built Mathlib.Topology.Separation.GDelta (8.4s)
✔ [2542/2582] Built Mathlib.Analysis.Calculus.LocalExtr.Rolle (10s)
✔ [2543/2583] Built Mathlib.Analysis.Calculus.InverseFunctionTheorem.FDeriv (12s)
✔ [2544/2583] Built Mathlib.Topology.GDelta.MetrizableSpace (9.5s)
✔ [2545/2584] Built Mathlib.Analysis.Calculus.FDeriv.Analytic (22s)
✔ [2546/2584] Built Mathlib.Topology.Algebra.Module.Spaces.WeakBilin (10s)
✔ [2547/2584] Built Mathlib.Analysis.Calculus.InverseFunctionTheorem.Deriv (10s)
✔ [2548/2584] Built Mathlib.Analysis.Normed.Module.RCLike.Extend (13s)
✔ [2549/2584] Built ComplementedSubspace.BasisTransport (12s)
✔ [2550/2584] Built Mathlib.Analysis.SpecialFunctions.Exponential (13s)
✔ [2551/2584] Built Mathlib.Analysis.LocallyConvex.WeakDual (11s)
✔ [2552/2588] Built Mathlib.Analysis.Calculus.ContDiff.Defs (23s)
✔ [2553/2589] Built Mathlib.Analysis.Calculus.ContDiff.FaaDiBruno (25s)
✔ [2554/2590] Built Mathlib.Analysis.LocallyConvex.HahnBanach (12s)
✔ [2555/2590] Built Mathlib.Analysis.Calculus.FDeriv.Mul (33s)
✔ [2556/2591] Built Mathlib.Analysis.LocallyConvex.Barrelled (11s)
✔ [2557/2591] Built Mathlib.Analysis.Calculus.ContDiff.Basic (17s)
✔ [2558/2592] Built ComplementedSubspace.ProductFrameIndex (7.0s)
⚠ [2559/2592] Built ComplementedSubspace.FiniteSigns (15s)
warning: ComplementedSubspace/FiniteSigns.lean:56:23: This simp argument is unused:
  Fintype.sum_bool

Hint: Omit it from the simp argument list.
  [apply] simp [finiteAverage]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
✔ [2560/2592] Built Mathlib.Analysis.Normed.Module.HahnBanach (11s)
✔ [2561/2592] Built Mathlib.Analysis.Calculus.FDeriv.Pow (13s)
✔ [2562/2592] Built Mathlib.Analysis.Normed.Operator.BanachSteinhaus (12s)
✔ [2563/2592] Built Mathlib.Analysis.Calculus.ContDiff.Comp (21s)
✔ [2564/2592] Built Mathlib.Analysis.Calculus.Deriv.Mul (25s)
⚠ [2565/2592] Built ComplementedSubspace.FiniteCorrection (19s)
warning: ComplementedSubspace/FiniteCorrection.lean:32:8: automatically included section variable(s) unused in theorem `ComplementedSubspace.finiteRankCorrection_apply`:
  [DecidableEq ι]
consider restructuring your `variable` declarations so that the variables are not in scope or explicitly omit them:
  omit [DecidableEq ι] in theorem ...

Note: This linter can be disabled with `set_option linter.unusedSectionVars false`
warning: ComplementedSubspace/FiniteCorrection.lean:37:0: automatically included section variable(s) unused in theorem `ComplementedSubspace.norm_finiteRankCorrection_le`:
  [DecidableEq ι]
consider restructuring your `variable` declarations so that the variables are not in scope or explicitly omit them:
  omit [DecidableEq ι] in theorem ...

Note: This linter can be disabled with `set_option linter.unusedSectionVars false`
warning: ComplementedSubspace/FiniteCorrection.lean:52:0: automatically included section variable(s) unused in theorem `ComplementedSubspace.exists_extended_basis_coordinates`:
  [DecidableEq ι]
consider restructuring your `variable` declarations so that the variables are not in scope or explicitly omit them:
  omit [DecidableEq ι] in theorem ...

Note: This linter can be disabled with `set_option linter.unusedSectionVars false`
✔ [2566/2592] Built Mathlib.Analysis.Calculus.Deriv.Pow (14s)
✔ [2567/2592] Built Mathlib.Analysis.Normed.Module.Bases (14s)
✔ [2568/2592] Built Mathlib.Analysis.Calculus.ContDiff.Deriv (12s)
✔ [2569/2592] Built Mathlib.Analysis.Calculus.Deriv.MeanValue (13s)
✔ [2570/2592] Built Mathlib.Analysis.Calculus.Deriv.CompMul (11s)
✔ [2571/2592] Built Mathlib.Analysis.Calculus.Deriv.Inv (13s)
✔ [2572/2592] Built Mathlib.Analysis.Calculus.MeanValue (16s)
✔ [2573/2592] Built Mathlib.Analysis.Calculus.ContDiff.Operations (36s)
⚠ [2574/2593] Built ComplementedSubspace.FiniteApproximation (16s)
warning: ComplementedSubspace/FiniteApproximation.lean:52:10: This simp argument is unused:
  Module.Basis.equivFun_apply

Hint: Omit it from the simp argument list.
  [apply] simp [eq_comm]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: ComplementedSubspace/FiniteApproximation.lean:104:2: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
warning: ComplementedSubspace/FiniteApproximation.lean:118:2: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
✔ [2575/2593] Built ComplementedSubspace.CorollaryStatement (13s)
✔ [2576/2593] Built Mathlib.Analysis.Calculus.IteratedDeriv.Defs (13s)
✔ [2577/2593] Built Mathlib.Analysis.Calculus.Deriv.Shift (12s)
✔ [2578/2593] Built Mathlib.Analysis.Calculus.ContDiff.RCLike (13s)
✔ [2579/2593] Built Mathlib.Analysis.Calculus.FDeriv.Extend (14s)
✔ [2580/2597] Built Mathlib.Analysis.Complex.RealDeriv (13s)
⚠ [2581/2600] Built BanLat.Basic (19s)
warning: BanLat/Basic.lean:537:2: Try this: 
  haveI̵

The goal is a proposition, so `have` is preferred over `haveI`.
The difference between `have` and `haveI` is that `haveI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
✔ [2582/2602] Built Mathlib.Analysis.Calculus.Deriv.ZPow (14s)
✔ [2583/2605] Built Mathlib.Topology.Algebra.Module.Spaces.WeakDual (11s)
✔ [2584/2605] Built Mathlib.Analysis.Normed.Group.Completeness (11s)
✔ [2585/2606] Built Mathlib.Analysis.Calculus.LogDeriv (15s)
✔ [2586/2607] Built Mathlib.Analysis.Calculus.IteratedDeriv.Lemmas (32s)
⚠ [2587/2609] Built BanLat.LLexpr (18s)
warning: BanLat/LLexpr.lean:103:2: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
✔ [2588/2616] Built Mathlib.Algebra.Order.Module.Basic (7.9s)
✔ [2589/2617] Built Mathlib.Analysis.LocallyConvex.WeakSpace (14s)
⚠ [2590/2617] Built BanLat.OrderComplete (13s)
warning: BanLat/OrderComplete.lean:84:28: `dif_pos` has been deprecated: Use `dite_eq_left` instead
warning: BanLat/OrderComplete.lean:88:28: `dif_pos` has been deprecated: Use `dite_eq_left` instead
warning: BanLat/OrderComplete.lean:96:28: `dif_pos` has been deprecated: Use `dite_eq_left` instead
warning: BanLat/OrderComplete.lean:105:28: `dif_pos` has been deprecated: Use `dite_eq_left` instead
warning: BanLat/OrderComplete.lean:126:2: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
warning: BanLat/OrderComplete.lean:127:2: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
warning: BanLat/OrderComplete.lean:131:2: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
warning: BanLat/OrderComplete.lean:244:8: `dif_pos` has been deprecated: Use `dite_eq_left` instead
warning: BanLat/OrderComplete.lean:250:8: `dif_pos` has been deprecated: Use `dite_eq_left` instead
warning: BanLat/OrderComplete.lean:258:8: `dif_pos` has been deprecated: Use `dite_eq_left` instead
warning: BanLat/OrderComplete.lean:269:8: `dif_pos` has been deprecated: Use `dite_eq_left` instead
✔ [2591/2618] Built Mathlib.Analysis.SpecialFunctions.ExpDeriv (15s)
✔ [2592/2618] Built ComplementedSubspace.DenseContractions (13s)
⚠ [2593/2618] Built ComplementedSubspace.LocalHilbertCompactness (18s)
warning: ComplementedSubspace/LocalHilbertCompactness.lean:107:13: `Set.setOf_and` has been deprecated: Use `Set.ofPred_and` instead
warning: ComplementedSubspace/LocalHilbertCompactness.lean:107:24: `Set.setOf_forall` has been deprecated: Use `Set.ofPred_forall` instead
warning: ComplementedSubspace/LocalHilbertCompactness.lean:133:34: `Set.setOf_forall` has been deprecated: Use `Set.ofPred_forall` instead
warning: ComplementedSubspace/LocalHilbertCompactness.lean:140:0: automatically included section variable(s) unused in theorem `ComplementedSubspace.ApproxParallelogram.mono`:
  [NormedSpace ℝ E]
consider restructuring your `variable` declarations so that the variables are not in scope or explicitly omit them:
  omit [NormedSpace ℝ E] in theorem ...

Note: This linter can be disabled with `set_option linter.unusedSectionVars false`
warning: ComplementedSubspace/LocalHilbertCompactness.lean:214:2: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
✔ [2594/2618] Built ComplementedSubspace.LocalHilbertCoordinates (16s)
✔ [2595/2619] Built Mathlib.Analysis.SpecialFunctions.Trigonometric.Deriv (15s)
✔ [2596/2619] Built Mathlib.Analysis.SpecialFunctions.Complex.LogDeriv (12s)
⚠ [2597/2620] Built BanLat.Normed (30s)
warning: BanLat/Normed.lean:150:2: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
⚠ [2598/2620] Built ComplementedSubspace.ProductFrame (16s)
warning: ComplementedSubspace/ProductFrame.lean:50:56: This simp argument is unused:
  Fintype.card_unit

Hint: Omit it from the simp argument list.
  [apply] simp [realProductFrame, finiteAverage, MomentIndex]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: ComplementedSubspace/ProductFrame.lean:74:49: Used `tac1 <;> tac2` where `(tac1; tac2)` would suffice

Note: This linter can be disabled with `set_option linter.unnecessarySeqFocus false`
✔ [2599/2621] Built Mathlib.Analysis.SpecialFunctions.Log.Deriv (21s)
⚠ [2600/2622] Built ComplementedSubspace.AmbientBasis (17s)
warning: ComplementedSubspace/AmbientBasis.lean:61:38: `ContinuousLinearMap.sum_apply` has been deprecated: Use `sum_apply` instead

Note: The updated constant is in a different namespace. Dot notation may need to be changed (e.g., from `x.sum_apply` to `sum_apply x`).
warning: ComplementedSubspace/AmbientBasis.lean:64:18: This simp argument is unused:
  eq_comm

Hint: Omit it from the simp argument list.
  [apply] simp [mul_comm]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: ComplementedSubspace/AmbientBasis.lean:96:10: This simp argument is unused:
  PiLp.smul_apply

Hint: Omit it from the simp argument list.
  [apply] simp [PiLp.single_apply, Pi.single_apply]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: ComplementedSubspace/AmbientBasis.lean:96:27: This simp argument is unused:
  PiLp.single_apply

Hint: Omit it from the simp argument list.
  [apply] simp [PiLp.smul_apply, Pi.single_apply]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: ComplementedSubspace/AmbientBasis.lean:123:38: `ContinuousLinearMap.sum_apply` has been deprecated: Use `sum_apply` instead

Note: The updated constant is in a different namespace. Dot notation may need to be changed (e.g., from `x.sum_apply` to `sum_apply x`).
warning: ComplementedSubspace/AmbientBasis.lean:138:44: `if_pos` has been deprecated: Use `ite_eq_left` instead
warning: ComplementedSubspace/AmbientBasis.lean:159:39: `ContinuousLinearMap.sum_apply` has been deprecated: Use `sum_apply` instead

Note: The updated constant is in a different namespace. Dot notation may need to be changed (e.g., from `x.sum_apply` to `sum_apply x`).
warning: ComplementedSubspace/AmbientBasis.lean:172:35: This simp argument is unused:
  Pi.single_apply

Hint: Omit it from the simp argument list.
  [apply] simp [hij, eq_comm]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: ComplementedSubspace/AmbientBasis.lean:172:57: This simp argument is unused:
  eq_comm

Hint: Omit it from the simp argument list.
  [apply] simp [Pi.single_apply, hij]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
✔ [2601/2622] Built BanLat.Operators.Positive (19s)
✔ [2602/2622] Built BanLat.Disjoint (17s)
⚠ [2603/2623] Built ComplementedSubspace.ProductFrameMoments (21s)
warning: ComplementedSubspace/ProductFrameMoments.lean:91:60: This simp argument is unused:
  Fintype.card_unit

Hint: Omit it from the simp argument list.
  [apply] simp [productFrameMoment, productFrameFourth, realProductFrame, finiteAverage, tensorMoment, MomentIndex,
    FrameIndex]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: ComplementedSubspace/ProductFrameMoments.lean:105:19: This simp argument is unused:
  productFrameMoment

Hint: Omit it from the simp argument list.
  [apply] simp only [Fintype.sum_sum_type, Finset.sum_add_distrib, ← sideIndex_false, ← sideIndex_true,
    productFrameFourth_succ]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: ComplementedSubspace/ProductFrameMoments.lean:107:59: This simp argument is unused:
  not_false_eq_true

Hint: Omit it from the simp argument list.
  [apply] simp only [Bool.false_eq_true, Bool.true_eq_false, and_self, and_true, and_false, ↓reduceIte, zero_add,
    add_zero, zero_mul, one_mul, Finset.sum_const_zero, circleBlock, Matrix.smul_apply, Matrix.fromBlocks_apply₁₁,
    Matrix.fromBlocks_apply₁₂, Matrix.fromBlocks_apply₂₁, Matrix.fromBlocks_apply₂₂, Matrix.add_apply,
    Matrix.submatrix_apply, Pi.add_apply, Pi.smul_apply, smul_eq_mul, sideIndex, ↓reduceIte]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: ComplementedSubspace/ProductFrameMoments.lean:109:10: This simp argument is unused:
  zero_mul

Hint: Omit it from the simp argument list.
  [apply] simp only [Bool.false_eq_true, Bool.true_eq_false, not_false_eq_true, and_self, and_true, and_false,
    ↓reduceIte, zero_add, add_zero, one_mul, Finset.sum_const_zero, circleBlock, Matrix.smul_apply,
    Matrix.fromBlocks_apply₁₁, Matrix.fromBlocks_apply₁₂, Matrix.fromBlocks_apply₂₁, Matrix.fromBlocks_apply₂₂,
    Matrix.add_apply, Matrix.submatrix_apply, Pi.add_apply, Pi.smul_apply, smul_eq_mul, sideIndex, ↓reduceIte]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: ComplementedSubspace/ProductFrameMoments.lean:109:20: This simp argument is unused:
  one_mul

Hint: Omit it from the simp argument list.
  [apply] simp only [Bool.false_eq_true, Bool.true_eq_false, not_false_eq_true, and_self, and_true, and_false,
    ↓reduceIte, zero_add, add_zero, zero_mul, Finset.sum_const_zero, circleBlock, Matrix.smul_apply,
    Matrix.fromBlocks_apply₁₁, Matrix.fromBlocks_apply₁₂, Matrix.fromBlocks_apply₂₁, Matrix.fromBlocks_apply₂₂,
    Matrix.add_apply, Matrix.submatrix_apply, Pi.add_apply, Pi.smul_apply, smul_eq_mul, sideIndex, ↓reduceIte]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: ComplementedSubspace/ProductFrameMoments.lean:109:29: This simp argument is unused:
  Finset.sum_const_zero

Hint: Omit it from the simp argument list.
  [apply] simp only [Bool.false_eq_true, Bool.true_eq_false, not_false_eq_true, and_self, and_true, and_false,
    ↓reduceIte, zero_add, add_zero, zero_mul, one_mul, circleBlock, Matrix.smul_apply, Matrix.fromBlocks_apply₁₁,
    Matrix.fromBlocks_apply₁₂, Matrix.fromBlocks_apply₂₁, Matrix.fromBlocks_apply₂₂, Matrix.add_apply,
    Matrix.submatrix_apply, Pi.add_apply, Pi.smul_apply, smul_eq_mul, sideIndex, ↓reduceIte]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: ComplementedSubspace/ProductFrameMoments.lean:112:10: This simp argument is unused:
  Matrix.submatrix_apply

Hint: Omit it from the simp argument list.
  [apply] simp only [Bool.false_eq_true, Bool.true_eq_false, not_false_eq_true, and_self, and_true, and_false,
    ↓reduceIte, zero_add, add_zero, zero_mul, one_mul, Finset.sum_const_zero, circleBlock, Matrix.smul_apply,
    Matrix.fromBlocks_apply₁₁, Matrix.fromBlocks_apply₁₂, Matrix.fromBlocks_apply₂₁, Matrix.fromBlocks_apply₂₂,
    Matrix.add_apply, Pi.add_apply, Pi.smul_apply, smul_eq_mul, sideIndex, ↓reduceIte]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: ComplementedSubspace/ProductFrameMoments.lean:112:34: This simp argument is unused:
  Pi.add_apply

Hint: Omit it from the simp argument list.
  [apply] simp only [Bool.false_eq_true, Bool.true_eq_false, not_false_eq_true, and_self, and_true, and_false,
    ↓reduceIte, zero_add, add_zero, zero_mul, one_mul, Finset.sum_const_zero, circleBlock, Matrix.smul_apply,
    Matrix.fromBlocks_apply₁₁, Matrix.fromBlocks_apply₁₂, Matrix.fromBlocks_apply₂₁, Matrix.fromBlocks_apply₂₂,
    Matrix.add_apply, Matrix.submatrix_apply, Pi.smul_apply, smul_eq_mul, sideIndex, ↓reduceIte]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: ComplementedSubspace/ProductFrameMoments.lean:112:48: This simp argument is unused:
  Pi.smul_apply

Hint: Omit it from the simp argument list.
  [apply] simp only [Bool.false_eq_true, Bool.true_eq_false, not_false_eq_true, and_self, and_true, and_false,
    ↓reduceIte, zero_add, add_zero, zero_mul, one_mul, Finset.sum_const_zero, circleBlock, Matrix.smul_apply,
    Matrix.fromBlocks_apply₁₁, Matrix.fromBlocks_apply₁₂, Matrix.fromBlocks_apply₂₁, Matrix.fromBlocks_apply₂₂,
    Matrix.add_apply, Matrix.submatrix_apply, Pi.add_apply, smul_eq_mul, sideIndex, ↓reduceIte]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: ComplementedSubspace/ProductFrameMoments.lean:114:10: This simp argument is unused:
  Matrix.add_apply

Hint: Omit it from the simp argument list.
  [apply] simp only [productFrameMoment, Matrix.submatrix_apply, Pi.add_apply, mul_add, Finset.sum_add_distrib,
    Finset.sum_const_zero, zero_add, add_zero, ← Finset.mul_sum, ← Finset.sum_mul]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: ComplementedSubspace/ProductFrameMoments.lean:115:10: This simp argument is unused:
  Finset.sum_const_zero

Hint: Omit it from the simp argument list.
  [apply] simp only [productFrameMoment, Matrix.submatrix_apply, Pi.add_apply, Matrix.add_apply, mul_add,
    Finset.sum_add_distrib, zero_add, add_zero, ← Finset.mul_sum, ← Finset.sum_mul]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: ComplementedSubspace/ProductFrameMoments.lean:115:33: This simp argument is unused:
  zero_add

Hint: Omit it from the simp argument list.
  [apply] simp only [productFrameMoment, Matrix.submatrix_apply, Pi.add_apply, Matrix.add_apply, mul_add,
    Finset.sum_add_distrib, Finset.sum_const_zero, add_zero, ← Finset.mul_sum, ← Finset.sum_mul]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: ComplementedSubspace/ProductFrameMoments.lean:115:43: This simp argument is unused:
  add_zero

Hint: Omit it from the simp argument list.
  [apply] simp only [productFrameMoment, Matrix.submatrix_apply, Pi.add_apply, Matrix.add_apply, mul_add,
    Finset.sum_add_distrib, Finset.sum_const_zero, zero_add, ← Finset.mul_sum, ← Finset.sum_mul]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: ComplementedSubspace/ProductFrameMoments.lean:115:53: This simp argument is unused:
  ← Finset.mul_sum

Hint: Omit it from the simp argument list.
  [apply] simp only [productFrameMoment, Matrix.submatrix_apply, Pi.add_apply, Matrix.add_apply, mul_add,
    Finset.sum_add_distrib, Finset.sum_const_zero, zero_add, add_zero, ← Finset.sum_mul]

Note: Simp arguments with `←` have the additional effect of removing the other direction from the simp set, even if the simp argument itself is unused. If the hint above does not work, try replacing `←` with `-` to only get that effect and silence this warning.

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: ComplementedSubspace/ProductFrameMoments.lean:116:10: This simp argument is unused:
  ← Finset.sum_mul

Hint: Omit it from the simp argument list.
  [apply] simp only [productFrameMoment, Matrix.submatrix_apply, Pi.add_apply, Matrix.add_apply, mul_add,
    Finset.sum_add_distrib, Finset.sum_const_zero, zero_add, add_zero, ← Finset.mul_sum]

Note: Simp arguments with `←` have the additional effect of removing the other direction from the simp set, even if the simp argument itself is unused. If the hint above does not work, try replacing `←` with `-` to only get that effect and silence this warning.

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: ComplementedSubspace/ProductFrameMoments.lean:118:48: This simp argument is unused:
  ← Finset.sum_mul

Hint: Omit it from the simp argument list.
  [apply] simp only [mul_assoc, ← Finset.mul_sum, Finset.sum_const_zero, zero_add, add_zero]

Note: Simp arguments with `←` have the additional effect of removing the other direction from the simp set, even if the simp argument itself is unused. If the hint above does not work, try replacing `←` with `-` to only get that effect and silence this warning.

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: ComplementedSubspace/ProductFrameMoments.lean:119:10: This simp argument is unused:
  Finset.sum_const_zero

Hint: Omit it from the simp argument list.
  [apply] simp only [mul_assoc, ← Finset.mul_sum, ← Finset.sum_mul, zero_add, add_zero]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: ComplementedSubspace/ProductFrameMoments.lean:119:33: This simp argument is unused:
  zero_add

Hint: Omit it from the simp argument list.
  [apply] simp only [mul_assoc, ← Finset.mul_sum, ← Finset.sum_mul, Finset.sum_const_zero, add_zero]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: ComplementedSubspace/ProductFrameMoments.lean:119:43: This simp argument is unused:
  add_zero

Hint: Omit it from the simp argument list.
  [apply] simp only [mul_assoc, ← Finset.mul_sum, ← Finset.sum_mul, Finset.sum_const_zero, zero_add]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
⚠ [2604/2624] Built ComplementedSubspace.ProductFrameLp (13s)
warning: ComplementedSubspace/ProductFrameLp.lean:27:11: Used `tac1 <;> tac2` where `(tac1; tac2)` would suffice

Note: This linter can be disabled with `set_option linter.unnecessarySeqFocus false`
✔ [2605/2624] Built Mathlib.Analysis.SpecialFunctions.Pow.Deriv (16s)
✔ [2606/2629] Built BanLat.OrderUnit (13s)
✔ [2607/2630] Built ComplementedSubspace.FiniteOverlapMoments (13s)
⚠ [2608/2631] Built ComplementedSubspace.ProjectionPerturbation (15s)
warning: ComplementedSubspace/ProjectionPerturbation.lean:46:10: This simp argument is unused:
  powerEnergyDifference

Hint: Omit it from the simp argument list.
  [apply] simp

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: ComplementedSubspace/ProjectionPerturbation.lean:45:74: Used `tac1 <;> tac2` where `(tac1; tac2)` would suffice

Note: This linter can be disabled with `set_option linter.unnecessarySeqFocus false`
⚠ [2609/2632] Built BanLat.Substructures.Sublattice (19s)
warning: BanLat/Substructures/Sublattice.lean:332:2: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
warning: BanLat/Substructures/Sublattice.lean:352:2: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
warning: BanLat/Substructures/Sublattice.lean:390:4: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
warning: BanLat/Substructures/Sublattice.lean:397:2: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
warning: BanLat/Substructures/Sublattice.lean:410:2: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
warning: BanLat/Substructures/Sublattice.lean:785:4: Try this: 
  haveI̵

The goal is a proposition, so `have` is preferred over `haveI`.
The difference between `have` and `haveI` is that `haveI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
warning: BanLat/Substructures/Sublattice.lean:805:4: `Set.countable_setOf_finite_subset` has been deprecated: Use `Set.countable_ofPred_finite_subset` instead
warning: BanLat/Substructures/Sublattice.lean:824:8: `dif_pos` has been deprecated: Use `dite_eq_left` instead
warning: BanLat/Substructures/Sublattice.lean:838:8: `dif_pos` has been deprecated: Use `dite_eq_left` instead
✔ [2610/2632] Built Mathlib.Analysis.InnerProductSpace.Convex (11s)
✔ [2611/2632] Built Mathlib.Algebra.Module.LinearMap.Rat (7.7s)
⚠ [2612/2633] Built ComplementedSubspace.FrameProjectionNorm (17s)
warning: ComplementedSubspace/FrameProjectionNorm.lean:19:24: Variable name `i` is not explicitly referenced.

Hint: The binding can be removed (if unused) or named `_` (if used implicitly). Alternatively, prefix the name with `_` to silence this warning:
  [apply] _i

Note: This linter can be disabled with `set_option linter.unusedVariables false`
⚠ [2613/2633] Built ComplementedSubspace.LocalHilbertDual (16s)
warning: ComplementedSubspace/LocalHilbertDual.lean:62:27: Used `tac1 <;> tac2` where `(tac1; tac2)` would suffice

Note: This linter can be disabled with `set_option linter.unnecessarySeqFocus false`
warning: ComplementedSubspace/LocalHilbertDual.lean:96:15: `ContinuousLinearMap.add_apply` has been deprecated: Use `add_apply` instead

Note: The updated constant is in a different namespace. Dot notation may need to be changed (e.g., from `x.add_apply` to `add_apply x`).
warning: ComplementedSubspace/LocalHilbertDual.lean:96:46: `ContinuousLinearMap.sub_apply` has been deprecated: Use `sub_apply` instead

Note: The updated constant is in a different namespace. Dot notation may need to be changed (e.g., from `x.sub_apply` to `sub_apply x`).
warning: ComplementedSubspace/LocalHilbertDual.lean:107:0: automatically included section variable(s) unused in theorem `ComplementedSubspace.ApproxParallelogram.nonneg_of_nontrivial`:
  [NormedSpace ℝ E]
consider restructuring your `variable` declarations so that the variables are not in scope or explicitly omit them:
  omit [NormedSpace ℝ E] in theorem ...

Note: This linter can be disabled with `set_option linter.unusedSectionVars false`
warning: ComplementedSubspace/LocalHilbertDual.lean:129:6: This simp argument is unused:
  zero_add

Hint: Omit it from the simp argument list.
  [apply] simp only [hf, hg, add_zero, sub_self, norm_zero, zero_pow (by decide : 2 ≠ 0), mul_zero, le_refl]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
✔ [2614/2633] Built BanLat.Operators.Hom (19s)
✔ [2615/2634] Built ComplementedSubspace.FiniteLpGeometry (16s)
✔ [2616/2635] Built ComplementedSubspace.TensorProjection (16s)
✔ [2617/2636] Built Mathlib.Analysis.InnerProductSpace.OfNorm (21s)
⚠ [2618/2636] Built BanLat.Substructures.Ideal (42s)
warning: BanLat/Substructures/Ideal.lean:212:55: `if_pos` has been deprecated: Use `ite_eq_left` instead
warning: BanLat/Substructures/Ideal.lean:214:36: `if_neg` has been deprecated: Use `ite_eq_right` instead
warning: BanLat/Substructures/Ideal.lean:219:55: `if_pos` has been deprecated: Use `ite_eq_left` instead
warning: BanLat/Substructures/Ideal.lean:221:36: `if_neg` has been deprecated: Use `ite_eq_right` instead
✔ [2619/2636] Built ComplementedSubspace.LpTwoUniformConvex (18s)
✔ [2620/2636] Built ComplementedSubspace.FrameProjectionRange (13s)
✔ [2621/2638] Built ComplementedSubspace.LocalHilbert (17s)
✔ [2622/2638] Built BanLat.Substructures.Band.Basic (13s)
✔ [2623/2638] Built ComplementedSubspace.AmbientUniformConvex (11s)
⚠ [2624/2638] Built ComplementedSubspace.FrameCoefficient (13s)
warning: ComplementedSubspace/FrameCoefficient.lean:17:30: Variable name `p` is not explicitly referenced.

Hint: The binding can be removed (if unused) or named `_` (if used implicitly). Alternatively, prefix the name with `_` to silence this warning:
  [apply] _p

Note: This linter can be disabled with `set_option linter.unusedVariables false`
⚠ [2625/2640] Built ComplementedSubspace.LocalHilbertProjection (15s)
warning: ComplementedSubspace/LocalHilbertProjection.lean:84:2: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
✔ [2626/2640] Built BanLat.Operators.OrderBounded (16s)
✔ [2627/2640] Built BanLat.Substructures.Band.DisjointComplement (12s)
✔ [2628/2640] Built ComplementedSubspace.LpTwoParallelogram (13s)
✔ [2629/2640] Built BanLat.Substructures.Band.Lattice (23s)
✔ [2630/2641] Built ComplementedSubspace.FrameCoefficientRange (13s)
⚠ [2631/2643] Built ComplementedSubspace.FrameCoefficientNorm (13s)
warning: ComplementedSubspace/FrameCoefficientNorm.lean:23:18: This simp argument is unused:
  PiLp.toLp_apply

Hint: Omit it from the simp argument list.
  [apply] simp only [hp', Real.norm_eq_abs]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
✔ [2632/2647] Built BanLat.RieszDec (13s)
✔ [2633/2648] Built Mathlib.Analysis.Convex.Cone.Closure (9.2s)
✔ [2634/2649] Built BanLat.Operators.Regular (12s)
⚠ [2635/2650] Built BanLat.Substructures.Band.Generated (16s)
warning: BanLat/Substructures/Band/Generated.lean:69:2: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
✔ [2636/2652] Built Mathlib.Topology.Algebra.Order.Module (8.3s)
✔ [2637/2652] Built Mathlib.Geometry.Convex.Cone.Dual (14s)
⚠ [2638/2652] Built ComplementedSubspace.DPRIsomorphism (13s)
warning: ComplementedSubspace/DPRIsomorphism.lean:24:2: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
warning: ComplementedSubspace/DPRIsomorphism.lean:27:2: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
warning: ComplementedSubspace/DPRIsomorphism.lean:48:2: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
⚠ [2639/2653] Built ComplementedSubspace.GLDualRetraction (14s)
warning: ComplementedSubspace/GLDualRetraction.lean:58:4: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
warning: ComplementedSubspace/GLDualRetraction.lean:61:4: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
✔ [2640/2653] Built Mathlib.Analysis.Convex.Cone.Basic (10s)
✔ [2641/2654] Built BanLat.Substructures.Band.Projection (23s)
⚠ [2642/2655] Built ComplementedSubspace.FiniteParameterGap (17s)
warning: ComplementedSubspace/FiniteParameterGap.lean:74:55: Used `tac1 <;> tac2` where `(tac1; tac2)` would suffice

Note: This linter can be disabled with `set_option linter.unnecessarySeqFocus false`
warning: ComplementedSubspace/FiniteParameterGap.lean:77:66: Used `tac1 <;> tac2` where `(tac1; tac2)` would suffice

Note: This linter can be disabled with `set_option linter.unnecessarySeqFocus false`
warning: ComplementedSubspace/FiniteParameterGap.lean:78:33: Used `tac1 <;> tac2` where `(tac1; tac2)` would suffice

Note: This linter can be disabled with `set_option linter.unnecessarySeqFocus false`
warning: ComplementedSubspace/FiniteParameterGap.lean:82:44: Used `tac1 <;> tac2` where `(tac1; tac2)` would suffice

Note: This linter can be disabled with `set_option linter.unnecessarySeqFocus false`
warning: ComplementedSubspace/FiniteParameterGap.lean:103:46: Used `tac1 <;> tac2` where `(tac1; tac2)` would suffice

Note: This linter can be disabled with `set_option linter.unnecessarySeqFocus false`
warning: ComplementedSubspace/FiniteParameterGap.lean:106:46: Used `tac1 <;> tac2` where `(tac1; tac2)` would suffice

Note: This linter can be disabled with `set_option linter.unnecessarySeqFocus false`
warning: ComplementedSubspace/FiniteParameterGap.lean:149:6: Unused tactic linter: `ring` does nothing

Note: This linter can be disabled with `set_option linter.unusedTactic false`
warning: ComplementedSubspace/FiniteParameterGap.lean:149:6: this tactic is never executed

Note: This linter can be disabled with `set_option linter.unreachableTactic false`
warning: ComplementedSubspace/FiniteParameterGap.lean:158:6: Unused tactic linter: `ring` does nothing

Note: This linter can be disabled with `set_option linter.unusedTactic false`
warning: ComplementedSubspace/FiniteParameterGap.lean:158:6: this tactic is never executed

Note: This linter can be disabled with `set_option linter.unreachableTactic false`
warning: ComplementedSubspace/FiniteParameterGap.lean:240:2: Unused tactic linter: `congr 1` does nothing

Note: This linter can be disabled with `set_option linter.unusedTactic false`
warning: ComplementedSubspace/FiniteParameterGap.lean:256:2: Used `tac1 <;> tac2` where `(tac1; tac2)` would suffice

Note: This linter can be disabled with `set_option linter.unnecessarySeqFocus false`
✔ [2643/2655] Built Mathlib.Analysis.Convex.Cone.Dual (13s)
⚠ [2644/2655] Built BanLat.Substructures.Band.PPP (15s)
warning: BanLat/Substructures/Band/PPP.lean:60:2: Try this: 
  haveI̵

The goal is a proposition, so `have` is preferred over `haveI`.
The difference between `have` and `haveI` is that `haveI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
warning: BanLat/Substructures/Band/PPP.lean:74:2: Try this: 
  haveI̵

The goal is a proposition, so `have` is preferred over `haveI`.
The difference between `have` and `haveI` is that `haveI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
✔ [2645/2657] Built ComplementedSubspace.FiniteHilbertAverage (13s)
⚠ [2646/2657] Built ComplementedSubspace.ProductFrameSymmetry (20s)
warning: ComplementedSubspace/ProductFrameSymmetry.lean:160:65: This simp argument is unused:
  Fintype.card_unit

Hint: Omit it from the simp argument list.
  [apply] simp [frameSymmetry, finiteAverage, MomentIndex, FrameIndex]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: ComplementedSubspace/ProductFrameSymmetry.lean:173:30: Unused tactic linter: `ring` does nothing

Note: This linter can be disabled with `set_option linter.unusedTactic false`
warning: ComplementedSubspace/ProductFrameSymmetry.lean:178:30: Unused tactic linter: `ring` does nothing

Note: This linter can be disabled with `set_option linter.unusedTactic false`
warning: ComplementedSubspace/ProductFrameSymmetry.lean:173:30: this tactic is never executed

Note: This linter can be disabled with `set_option linter.unreachableTactic false`
warning: ComplementedSubspace/ProductFrameSymmetry.lean:178:30: this tactic is never executed

Note: This linter can be disabled with `set_option linter.unreachableTactic false`
warning: ComplementedSubspace/ProductFrameSymmetry.lean:170:31: Used `tac1 <;> tac2` where `(tac1; tac2)` would suffice

Note: This linter can be disabled with `set_option linter.unnecessarySeqFocus false`
warning: ComplementedSubspace/ProductFrameSymmetry.lean:182:31: Used `tac1 <;> tac2` where `(tac1; tac2)` would suffice

Note: This linter can be disabled with `set_option linter.unnecessarySeqFocus false`
⚠ [2647/2659] Built ComplementedSubspace.AmbientSchauder (35s)
warning: ComplementedSubspace/AmbientSchauder.lean:29:27: This simp argument is unused:
  eq_comm

Hint: Omit it from the simp argument list.
  [apply] simp [Pi.single_apply]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: ComplementedSubspace/AmbientSchauder.lean:41:40: `ContinuousLinearMap.sum_apply` has been deprecated: Use `sum_apply` instead

Note: The updated constant is in a different namespace. Dot notation may need to be changed (e.g., from `x.sum_apply` to `sum_apply x`).
✔ [2648/2659] Built Mathlib.LinearAlgebra.TensorProduct.Finiteness (9.3s)
✔ [2649/2660] Built ComplementedSubspace.LatticeSpectral (17s)
✔ [2650/2660] Built Mathlib.Algebra.Polynomial.Derivative (14s)
⚠ [2651/2660] Built BanLat.Operators.RieszKantorovich (29s)
warning: BanLat/Operators/RieszKantorovich.lean:56:20: `if_pos` has been deprecated: Use `ite_eq_left` instead
warning: BanLat/Operators/RieszKantorovich.lean:121:2: Try this: 
  haveI̵

The goal is a proposition, so `have` is preferred over `haveI`.
The difference between `have` and `haveI` is that `haveI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
warning: BanLat/Operators/RieszKantorovich.lean:127:2: Try this: 
  haveI̵

The goal is a proposition, so `have` is preferred over `haveI`.
The difference between `have` and `haveI` is that `haveI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
warning: BanLat/Operators/RieszKantorovich.lean:773:2: Try this: 
  haveI̵

The goal is a proposition, so `have` is preferred over `haveI`.
The difference between `have` and `haveI` is that `haveI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
warning: BanLat/Operators/RieszKantorovich.lean:779:2: Try this: 
  haveI̵

The goal is a proposition, so `have` is preferred over `haveI`.
The difference between `have` and `haveI` is that `haveI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
warning: BanLat/Operators/RieszKantorovich.lean:1181:2: Try this: 
  haveI̵

The goal is a proposition, so `have` is preferred over `haveI`.
The difference between `have` and `haveI` is that `haveI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
warning: BanLat/Operators/RieszKantorovich.lean:1195:8: `dif_pos` has been deprecated: Use `dite_eq_left` instead
warning: BanLat/Operators/RieszKantorovich.lean:1338:8: `dif_pos` has been deprecated: Use `dite_eq_left` instead
✔ [2652/2660] Built Mathlib.LinearAlgebra.Contraction (16s)
✔ [2653/2666] Built Mathlib.GroupTheory.MonoidLocalization.Away (8.6s)
✔ [2654/2666] Built ComplementedSubspace.LatticeBasis (15s)
✔ [2655/2667] Built Mathlib.Algebra.Polynomial.Expand (11s)
✔ [2656/2667] Built Mathlib.RingTheory.UniqueFactorizationDomain.Basic (9.6s)
✔ [2657/2672] Built Mathlib.Algebra.Polynomial.Eval.SMul (9.4s)
✔ [2658/2672] Built Mathlib.RingTheory.UniqueFactorizationDomain.NormalizedFactors (9.2s)
⚠ [2659/2672] Built BanLat.Dual (23s)
warning: BanLat/Dual.lean:106:6: `dif_pos` has been deprecated: Use `dite_eq_left` instead
✔ [2660/2673] Built Mathlib.RingTheory.MatrixAlgebra (16s)
✔ [2661/2673] Built Mathlib.RingTheory.UniqueFactorizationDomain.Multiplicity (8.6s)
✔ [2662/2673] Built Mathlib.LinearAlgebra.Matrix.SchurComplement (14s)
✔ [2663/2673] Built ComplementedSubspace.LatticeApproximation (13s)
✔ [2664/2678] Built Mathlib.Algebra.Polynomial.Identities (10s)
✔ [2665/2678] Built Mathlib.RingTheory.IsTensorProduct (32s)
✔ [2666/2679] Built Mathlib.RingTheory.Localization.Away.Basic (16s)
⚠ [2667/2679] Built ComplementedSubspace.AmbientFiniteApproximation (17s)
warning: ComplementedSubspace/AmbientFiniteApproximation.lean:81:2: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
warning: ComplementedSubspace/AmbientFiniteApproximation.lean:82:2: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
warning: ComplementedSubspace/AmbientFiniteApproximation.lean:98:2: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
warning: ComplementedSubspace/AmbientFiniteApproximation.lean:99:2: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
warning: ComplementedSubspace/AmbientFiniteApproximation.lean:100:2: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
warning: ComplementedSubspace/AmbientFiniteApproximation.lean:105:2: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
warning: ComplementedSubspace/AmbientFiniteApproximation.lean:106:2: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
warning: ComplementedSubspace/AmbientFiniteApproximation.lean:107:2: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
✔ [2668/2679] Built Mathlib.RingTheory.Nilpotent.Defs (8.6s)
⚠ [2669/2681] Built ComplementedSubspace.LatticeNonisomorphism (15s)
warning: ComplementedSubspace/LatticeNonisomorphism.lean:23:2: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
warning: ComplementedSubspace/LatticeNonisomorphism.lean:24:2: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
warning: ComplementedSubspace/LatticeNonisomorphism.lean:25:2: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
warning: ComplementedSubspace/LatticeNonisomorphism.lean:26:2: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
warning: ComplementedSubspace/LatticeNonisomorphism.lean:27:2: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
warning: ComplementedSubspace/LatticeNonisomorphism.lean:28:2: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
warning: ComplementedSubspace/LatticeNonisomorphism.lean:29:2: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
✔ [2670/2681] Built Mathlib.RingTheory.PolynomialAlgebra (11s)
✔ [2671/2684] Built Mathlib.RingTheory.Finiteness.Prod (9.4s)
✔ [2672/2684] Built Mathlib.RingTheory.Nilpotent.Lemmas (10s)
✔ [2673/2684] Built Mathlib.Algebra.Polynomial.Laurent (14s)
✔ [2674/2686] Built Mathlib.RingTheory.Nilpotent.Basic (10s)
✔ [2675/2686] Built Mathlib.RingTheory.Finiteness.Bilinear (9.2s)
✔ [2676/2686] Built Mathlib.RingTheory.TensorProduct.Free (11s)
✔ [2677/2686] Built Mathlib.RingTheory.MatrixPolynomialAlgebra (11s)
✔ [2678/2690] Built Mathlib.RingTheory.Polynomial.Nilpotent (11s)
⚠ [2679/2690] Built ComplementedSubspace.FiniteParameterBounds (16s)
warning: ComplementedSubspace/FiniteParameterBounds.lean:79:10: Unused tactic linter: `ring` does nothing

Note: This linter can be disabled with `set_option linter.unusedTactic false`
warning: ComplementedSubspace/FiniteParameterBounds.lean:79:10: this tactic is never executed

Note: This linter can be disabled with `set_option linter.unreachableTactic false`
✔ [2680/2690] Built Mathlib.RingTheory.TensorProduct.Finite (12s)
✔ [2681/2698] Built Mathlib.LinearAlgebra.Matrix.Charpoly.Basic (13s)
✔ [2682/2698] Built ComplementedSubspace.FiniteSignsComplex (14s)
✔ [2683/2698] Built ComplementedSubspace.FiniteTraceSelection (13s)
✔ [2684/2707] Built ComplementedSubspace.ProductFrameWitness (14s)
✔ [2685/2711] Built Mathlib.LinearAlgebra.Matrix.Charpoly.Coeff (13s)
✔ [2686/2711] Built ComplementedSubspace.LocalHilbertFactorization (15s)
⚠ [2687/2712] Built ComplementedSubspace.FiniteSignsInterpolation (15s)
warning: ComplementedSubspace/FiniteSignsInterpolation.lean:65:13: Used `tac1 <;> tac2` where `(tac1; tac2)` would suffice

Note: This linter can be disabled with `set_option linter.unnecessarySeqFocus false`
warning: ComplementedSubspace/FiniteSignsInterpolation.lean:89:15: Used `tac1 <;> tac2` where `(tac1; tac2)` would suffice

Note: This linter can be disabled with `set_option linter.unnecessarySeqFocus false`
✔ [2688/2712] Built ComplementedSubspace.FrameCoefficientHilbert (14s)
✔ [2689/2714] Built Mathlib.LinearAlgebra.Trace (14s)
✔ [2690/2714] Built Mathlib.Analysis.InnerProductSpace.ProdL2 (18s)
✔ [2691/2714] Built ComplementedSubspace.HilbertTraceTransfer (12s)
⚠ [2692/2714] Built ComplementedSubspace.FiniteOverlapLp (16s)
warning: ComplementedSubspace/FiniteOverlapLp.lean:56:63: Used `tac1 <;> tac2` where `(tac1; tac2)` would suffice

Note: This linter can be disabled with `set_option linter.unnecessarySeqFocus false`
warning: ComplementedSubspace/FiniteOverlapLp.lean:63:13: Used `tac1 <;> tac2` where `(tac1; tac2)` would suffice

Note: This linter can be disabled with `set_option linter.unnecessarySeqFocus false`
warning: ComplementedSubspace/FiniteOverlapLp.lean:106:41: Unused tactic linter: `ring` does nothing

Note: This linter can be disabled with `set_option linter.unusedTactic false`
warning: ComplementedSubspace/FiniteOverlapLp.lean:106:41: this tactic is never executed

Note: This linter can be disabled with `set_option linter.unreachableTactic false`
warning: ComplementedSubspace/FiniteOverlapLp.lean:84:13: Used `tac1 <;> tac2` where `(tac1; tac2)` would suffice

Note: This linter can be disabled with `set_option linter.unnecessarySeqFocus false`
⚠ [2693/2714] Built ComplementedSubspace.ProductFrameSignSample (15s)
warning: ComplementedSubspace/ProductFrameSignSample.lean:136:10: Unused tactic linter: `ring` does nothing

Note: This linter can be disabled with `set_option linter.unusedTactic false`
warning: ComplementedSubspace/ProductFrameSignSample.lean:136:10: this tactic is never executed

Note: This linter can be disabled with `set_option linter.unreachableTactic false`
warning: ComplementedSubspace/ProductFrameSignSample.lean:127:13: Used `tac1 <;> tac2` where `(tac1; tac2)` would suffice

Note: This linter can be disabled with `set_option linter.unnecessarySeqFocus false`
⚠ [2694/2717] Built ComplementedSubspace.ProductFrameTrace (14s)
warning: ComplementedSubspace/ProductFrameTrace.lean:62:12: This simp argument is unused:
  Pi.single_apply

Hint: Omit it from the simp argument list.
  [apply] simp [hki]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: ComplementedSubspace/ProductFrameTrace.lean:87:27: This simp argument is unused:
  LinearMap.toMatrix_apply

Hint: Omit it from the simp argument list.
  [apply] simp only [Matrix.trace]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: ComplementedSubspace/ProductFrameTrace.lean:88:11: This simp argument is unused:
  Pi.basisFun_apply

Hint: Omit it from the simp argument list.
  [apply] simp [b, LinearMap.toMatrix'_apply]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: ComplementedSubspace/ProductFrameTrace.lean:129:51: This simp argument is unused:
  Finset.sum_ite_eq'

Hint: Omit it from the simp argument list.
  [apply] simp only [mul_ite, mul_zero, Finset.sum_ite_eq, Finset.mem_univ, ite_true]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
⚠ [2695/2717] Built ComplementedSubspace.FiniteProjectionTrace (15s)
warning: ComplementedSubspace/FiniteProjectionTrace.lean:47:0: automatically included section variable(s) unused in theorem `ComplementedSubspace.compressedBasisMap_eq_smulRight`:
  [FiniteDimensional ℝ E]
consider restructuring your `variable` declarations so that the variables are not in scope or explicitly omit them:
  omit [FiniteDimensional ℝ E] in theorem ...

Note: This linter can be disabled with `set_option linter.unusedSectionVars false`
warning: ComplementedSubspace/FiniteProjectionTrace.lean:81:0: automatically included section variable(s) unused in theorem `ComplementedSubspace.sum_compressedBasisMap`:
  [FiniteDimensional ℝ E]
consider restructuring your `variable` declarations so that the variables are not in scope or explicitly omit them:
  omit [FiniteDimensional ℝ E] in theorem ...

Note: This linter can be disabled with `set_option linter.unusedSectionVars false`
warning: ComplementedSubspace/FiniteProjectionTrace.lean:98:0: automatically included section variable(s) unused in theorem `ComplementedSubspace.compressedBasisMap_complement_defect`:
  [FiniteDimensional ℝ E]
consider restructuring your `variable` declarations so that the variables are not in scope or explicitly omit them:
  omit [FiniteDimensional ℝ E] in theorem ...

Note: This linter can be disabled with `set_option linter.unusedSectionVars false`
warning: ComplementedSubspace/FiniteProjectionTrace.lean:120:0: automatically included section variable(s) unused in theorem `ComplementedSubspace.basisComplementCompression_expansion`:
  [FiniteDimensional ℝ E]
consider restructuring your `variable` declarations so that the variables are not in scope or explicitly omit them:
  omit [FiniteDimensional ℝ E] in theorem ...

Note: This linter can be disabled with `set_option linter.unusedSectionVars false`
warning: ComplementedSubspace/FiniteProjectionTrace.lean:132:38: This simp argument is unused:
  mul_assoc

Hint: Omit it from the simp argument list.
  [apply] simp only [mul_comm, mul_left_comm]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
⚠ [2696/2717] Built ComplementedSubspace.ProductFrameSignContraction (14s)
warning: ComplementedSubspace/ProductFrameSignContraction.lean:115:10: Unused tactic linter: `ring` does nothing

Note: This linter can be disabled with `set_option linter.unusedTactic false`
warning: ComplementedSubspace/ProductFrameSignContraction.lean:115:10: this tactic is never executed

Note: This linter can be disabled with `set_option linter.unreachableTactic false`
warning: ComplementedSubspace/ProductFrameSignContraction.lean:105:13: Used `tac1 <;> tac2` where `(tac1; tac2)` would suffice

Note: This linter can be disabled with `set_option linter.unnecessarySeqFocus false`
✔ [2697/2719] Built ComplementedSubspace.ProductFrameRowWitness (18s)
✔ [2698/2726] Built ComplementedSubspace.BasisRestriction (12s)
✔ [2699/2727] Built ComplementedSubspace.ProductFrameTraceBound (16s)
✔ [2700/2727] Built ComplementedSubspace.FiniteBasisTraceBound (15s)
⚠ [2701/2727] Built ComplementedSubspace.DPRObstruction (11s)
warning: ComplementedSubspace/DPRObstruction.lean:40:8: Variable name `hVdim` is not explicitly referenced.

Hint: The binding can be removed (if unused) or named `_` (if used implicitly). Alternatively, prefix the name with `_` to silence this warning:
  [apply] _hVdim

Note: This linter can be disabled with `set_option linter.unusedVariables false`
✔ [2702/2727] Built ComplementedSubspace.SelectedHilbertReplacement (26s)
⚠ [2703/2727] Built ComplementedSubspace.FiniteOverlapRandomization (14s)
warning: ComplementedSubspace/FiniteOverlapRandomization.lean:114:10: Unused tactic linter: `ring` does nothing

Note: This linter can be disabled with `set_option linter.unusedTactic false`
warning: ComplementedSubspace/FiniteOverlapRandomization.lean:114:10: this tactic is never executed

Note: This linter can be disabled with `set_option linter.unreachableTactic false`
⚠ [2704/2727] Built ComplementedSubspace.LocalHilbertSum (19s)
warning: ComplementedSubspace/LocalHilbertSum.lean:140:2: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
✔ [2705/2727] Built ComplementedSubspace.FiniteDualBasis (12s)
✔ [2706/2727] Built ComplementedSubspace.FiniteTraceOverlap (17s)
✔ [2707/2727] Built ComplementedSubspace.FiniteOverlapGoodSecond (14s)
⚠ [2708/2729] Built ComplementedSubspace.FiniteOverlapScale (26s)
warning: ComplementedSubspace/FiniteOverlapScale.lean:35:2: Used `tac1 <;> tac2` where `(tac1; tac2)` would suffice

Note: This linter can be disabled with `set_option linter.unnecessarySeqFocus false`
warning: ComplementedSubspace/FiniteOverlapScale.lean:57:61: Variable name `hp₃` is not explicitly referenced.

Hint: The binding can be removed (if unused) or named `_` (if used implicitly). Alternatively, prefix the name with `_` to silence this warning:
  [apply] _hp₃

Note: This linter can be disabled with `set_option linter.unusedVariables false`
info: ComplementedSubspace/FiniteOverlapScale.lean:140:4: Try this:
  [apply] ring_nf
  
  The `ring` tactic failed to close the goal. Use `ring_nf` to obtain a normal form.
    
  Note that `ring` works primarily in *commutative* rings. If you have a noncommutative ring, abelian group or module, consider using `noncomm_ring`, `abel` or `module` instead.
warning: ComplementedSubspace/FiniteOverlapScale.lean:138:29: Used `tac1 <;> tac2` where `(tac1; tac2)` would suffice

Note: This linter can be disabled with `set_option linter.unnecessarySeqFocus false`
warning: ComplementedSubspace/FiniteOverlapScale.lean:171:23: Used `tac1 <;> tac2` where `(tac1; tac2)` would suffice

Note: This linter can be disabled with `set_option linter.unnecessarySeqFocus false`
⚠ [2709/2729] Built ComplementedSubspace.FiniteSelectionCoordinates (14s)
warning: ComplementedSubspace/FiniteSelectionCoordinates.lean:81:0: automatically included section variable(s) unused in theorem `ComplementedSubspace.basisSubsetProjection_compressed_trace`:
  [FiniteDimensional ℝ E]
consider restructuring your `variable` declarations so that the variables are not in scope or explicitly omit them:
  omit [FiniteDimensional ℝ E] in theorem ...

Note: This linter can be disabled with `set_option linter.unusedSectionVars false`
⚠ [2710/2729] Built ComplementedSubspace.UnconditionalHilbertSynthesis (14s)
warning: ComplementedSubspace/UnconditionalHilbertSynthesis.lean:51:13: Variable name `hD` is not explicitly referenced.

Hint: The binding can be removed (if unused) or named `_` (if used implicitly). Alternatively, prefix the name with `_` to silence this warning:
  [apply] _hD

Note: This linter can be disabled with `set_option linter.unusedVariables false`
✔ [2711/2729] Built ComplementedSubspace.FiniteSuperspaceSplitting (15s)
✔ [2712/2729] Built ComplementedSubspace.LocalHilbertTransport (13s)
✔ [2713/2729] Built ComplementedSubspace.ProjectionOverlapLower (14s)
⚠ [2714/2732] Built ComplementedSubspace.FiniteOverlapBasisColumns (14s)
warning: ComplementedSubspace/FiniteOverlapBasisColumns.lean:15:42: This simp argument is unused:
  Finset.sum_ite_eq'

Hint: Omit it from the simp argument list.
  [apply] simp only [Real.norm_eq_abs, sq_abs, normalizedFrameSign_covariance, ite_div, zero_div, mul_ite, mul_zero,
    Finset.sum_ite_eq, Finset.mem_univ, ite_true, real_inner_self_eq_norm_sq] at h

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: ComplementedSubspace/FiniteOverlapBasisColumns.lean:17:13: This simp argument is unused:
  Real.norm_eq_abs

Hint: Omit it from the simp argument list.
  [apply] simp only [sq_abs, one_div, ← Finset.sum_mul] at h

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: ComplementedSubspace/FiniteOverlapBasisColumns.lean:17:31: This simp argument is unused:
  sq_abs

Hint: Omit it from the simp argument list.
  [apply] simp only [Real.norm_eq_abs, one_div, ← Finset.sum_mul] at h

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
✔ [2715/2732] Built ComplementedSubspace.FiniteOverlapDualScale (14s)
⚠ [2716/2732] Built ComplementedSubspace.FiniteCoordinateSelection (14s)
warning: ComplementedSubspace/FiniteCoordinateSelection.lean:42:32: Used `tac1 <;> tac2` where `(tac1; tac2)` would suffice

Note: This linter can be disabled with `set_option linter.unnecessarySeqFocus false`
warning: ComplementedSubspace/FiniteCoordinateSelection.lean:47:24: Used `tac1 <;> tac2` where `(tac1; tac2)` would suffice

Note: This linter can be disabled with `set_option linter.unnecessarySeqFocus false`
✔ [2717/2732] Built ComplementedSubspace.NormalizedHilbertSynthesis (15s)
✔ [2718/2732] Built ComplementedSubspace.NormSqSplitting (15s)
✔ [2719/2732] Built Mathlib.Analysis.Normed.Lp.lpHolder (22s)
✔ [2720/2734] Built ComplementedSubspace.FiniteOverlapMatrixNorms (14s)
✔ [2721/2734] Built ComplementedSubspace.FiniteOverlapUpper (16s)
✔ [2722/2734] Built ComplementedSubspace.RecursiveParameters (14s)
⚠ [2723/2734] Built ComplementedSubspace.FiniteSelectedHilbertModel (16s)
warning: ComplementedSubspace/FiniteSelectedHilbertModel.lean:46:2: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
warning: ComplementedSubspace/FiniteSelectedHilbertModel.lean:29:0: automatically included section variable(s) unused in theorem `ComplementedSubspace.selected_coordinates_have_hilbert_factorization`:
  [FiniteDimensional ℝ E]
consider restructuring your `variable` declarations so that the variables are not in scope or explicitly omit them:
  omit [FiniteDimensional ℝ E] in theorem ...

Note: This linter can be disabled with `set_option linter.unusedSectionVars false`
✔ [2724/2736] Built ComplementedSubspace.SelectedCoefficientHilbert (16s)
✔ [2725/2736] Built ComplementedSubspace.IsometricProductSplitting (15s)
✔ [2726/2737] Built ComplementedSubspace.AmbientProjection (15s)
✔ [2727/2737] Built ComplementedSubspace.FiniteHeadHilbert (14s)
✔ [2728/2737] Built ComplementedSubspace.FiniteOverlapBound (14s)
✔ [2729/2737] Built ComplementedSubspace.LocalHilbertProperty (11s)
✔ [2730/2739] Built ComplementedSubspace.ReindexedFrameProjection (16s)
⚠ [2731/2739] Built ComplementedSubspace.RecursiveHeadHilbert (14s)
warning: ComplementedSubspace/RecursiveHeadHilbert.lean:28:2: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
⚠ [2732/2739] Built ComplementedSubspace.SelectedProjectionSetup (25s)
warning: ComplementedSubspace/SelectedProjectionSetup.lean:64:0: automatically included section variable(s) unused in theorem `ComplementedSubspace.selectedCoefficientHilbertEquiv_norm_le_one`:
  [FiniteDimensional ℝ ↥F]
consider restructuring your `variable` declarations so that the variables are not in scope or explicitly omit them:
  omit [FiniteDimensional ℝ ↥F] in theorem ...

Note: This linter can be disabled with `set_option linter.unusedSectionVars false`
warning: ComplementedSubspace/SelectedProjectionSetup.lean:164:0: automatically included section variable(s) unused in theorem `ComplementedSubspace.selectedCoefficient_coordinate_sq_le`:
  [FiniteDimensional ℝ ↥F]
consider restructuring your `variable` declarations so that the variables are not in scope or explicitly omit them:
  omit [FiniteDimensional ℝ ↥F] in theorem ...

Note: This linter can be disabled with `set_option linter.unusedSectionVars false`
warning: ComplementedSubspace/SelectedProjectionSetup.lean:180:66: `ContinuousLinearMap.zero_apply` has been deprecated: Use `zero_apply` instead

Note: The updated constant is in a different namespace. Dot notation may need to be changed (e.g., from `x.zero_apply` to `zero_apply x`).
warning: ComplementedSubspace/SelectedProjectionSetup.lean:174:0: automatically included section variable(s) unused in theorem `ComplementedSubspace.selectedCoefficientHilbert_first_pairing`:
  [FiniteDimensional ℝ ↥F]
consider restructuring your `variable` declarations so that the variables are not in scope or explicitly omit them:
  omit [FiniteDimensional ℝ ↥F] in theorem ...

Note: This linter can be disabled with `set_option linter.unusedSectionVars false`
warning: ComplementedSubspace/SelectedProjectionSetup.lean:185:40: This simp argument is unused:
  WithLp.ofLp_toLp

Hint: Omit it from the simp argument list.
  [apply] simp only [PiLp.inner_apply, RCLike.inner_apply, conj_trivial, frameCoefficientHilbertEquiv_apply]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
✔ [2733/2739] Built ComplementedSubspace.FiniteOverlapConclusion (12s)
⚠ [2734/2744] Built ComplementedSubspace.LocalHilbertQuotient (18s)
warning: ComplementedSubspace/LocalHilbertQuotient.lean:91:2: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
✔ [2735/2744] Built ComplementedSubspace.FiniteCubeBound (11s)
⚠ [2736/2747] Built ComplementedSubspace.RecursiveProjection (19s)
warning: ComplementedSubspace/RecursiveProjection.lean:98:42: `if_pos` has been deprecated: Use `ite_eq_left` instead
warning: ComplementedSubspace/RecursiveProjection.lean:115:41: `if_neg` has been deprecated: Use `ite_eq_right` instead
⚠ [2737/2747] Built ComplementedSubspace.LpSubmodule (22s)
warning: ComplementedSubspace/LpSubmodule.lean:62:0: automatically included section variable(s) unused in theorem `ComplementedSubspace.lp_two_coordinate_norm_sq`:
  [(i : ι) → NormedSpace ℝ (E i)]
consider restructuring your `variable` declarations so that the variables are not in scope or explicitly omit them:
  omit [(i : ι) → NormedSpace ℝ (E i)] in theorem ...

Note: This linter can be disabled with `set_option linter.unusedSectionVars false`
warning: ComplementedSubspace/LpSubmodule.lean:102:0: automatically included section variable(s) unused in theorem `ComplementedSubspace.lpDiagonalRangeEval_norm_le`:
  [DecidableEq ι]
consider restructuring your `variable` declarations so that the variables are not in scope or explicitly omit them:
  omit [DecidableEq ι] in theorem ...

Note: This linter can be disabled with `set_option linter.unusedSectionVars false`
⚠ [2738/2747] Built ComplementedSubspace.LocalHilbertSumDual (26s)
warning: ComplementedSubspace/LocalHilbertSumDual.lean:52:27: Used `tac1 <;> tac2` where `(tac1; tac2)` would suffice

Note: This linter can be disabled with `set_option linter.unnecessarySeqFocus false`
✔ [2739/2747] Built ComplementedSubspace.SchauderDPR (13s)
⚠ [2740/2750] Built ComplementedSubspace.FrameCoefficientReindexedRange (13s)
warning: ComplementedSubspace/FrameCoefficientReindexedRange.lean:44:36: `if_pos` has been deprecated: Use `ite_eq_left` instead
warning: ComplementedSubspace/FrameCoefficientReindexedRange.lean:50:36: `if_neg` has been deprecated: Use `ite_eq_right` instead
⚠ [2741/2750] Built ComplementedSubspace.ComplexProjectionEnergy (15s)
warning: ComplementedSubspace/ComplexProjectionEnergy.lean:45:24: Variable name `i` is not explicitly referenced.

Hint: The binding can be removed (if unused) or named `_` (if used implicitly). Alternatively, prefix the name with `_` to silence this warning:
  [apply] _i

Note: This linter can be disabled with `set_option linter.unusedVariables false`
⚠ [2742/2750] Built ComplementedSubspace.ProjectionCorollaries (13s)
warning: ComplementedSubspace/ProjectionCorollaries.lean:21:4: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
warning: ComplementedSubspace/ProjectionCorollaries.lean:24:4: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
✔ [2743/2750] Built ComplementedSubspace.LpHeadTail (20s)
✔ [2744/2750] Built ComplementedSubspace.ComplexAmbient (14s)
✔ [2745/2757] Built ComplementedSubspace.DenseContractionsScalar (11s)
⚠ [2746/2757] Built ComplementedSubspace.DiagonalFrameSummand (19s)
warning: ComplementedSubspace/DiagonalFrameSummand.lean:58:0: automatically included section variable(s) unused in theorem `ComplementedSubspace.diagonalSummand_RJ`:
  [DecidableEq ι]
consider restructuring your `variable` declarations so that the variables are not in scope or explicitly omit them:
  omit [DecidableEq ι] in theorem ...

Note: This linter can be disabled with `set_option linter.unusedSectionVars false`
warning: ComplementedSubspace/DiagonalFrameSummand.lean:83:0: automatically included section variable(s) unused in theorem `ComplementedSubspace.diagonalSummand_J_norm`:
  [DecidableEq ι]
consider restructuring your `variable` declarations so that the variables are not in scope or explicitly omit them:
  omit [DecidableEq ι] in theorem ...

Note: This linter can be disabled with `set_option linter.unusedSectionVars false`
✔ [2747/2757] Built ComplementedSubspace.ComplexFrameProjection (16s)
✔ [2748/2757] Built ComplementedSubspace.RecursiveTailHilbert (13s)
✔ [2749/2758] Built ComplementedSubspace.FiniteOverlapObstruction (29s)
✔ [2750/2762] Built ComplementedSubspace.ComplexTensorProjection (15s)
✔ [2751/2762] Built ComplementedSubspace.RecursiveKernelHilbert (17s)
✔ [2752/2763] Built ComplementedSubspace.FiniteBidual (14s)
⚠ [2753/2763] Built ComplementedSubspace.FiniteBlockObstruction (15s)
warning: ComplementedSubspace/FiniteBlockObstruction.lean:50:2: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
⚠ [2754/2766] Built ComplementedSubspace.ComplexAmbientSchauder (42s)
warning: ComplementedSubspace/ComplexAmbientSchauder.lean:56:45: `ContinuousLinearMap.sum_apply` has been deprecated: Use `sum_apply` instead

Note: The updated constant is in a different namespace. Dot notation may need to be changed (e.g., from `x.sum_apply` to `sum_apply x`).
warning: ComplementedSubspace/ComplexAmbientSchauder.lean:59:18: This simp argument is unused:
  eq_comm

Hint: Omit it from the simp argument list.
  [apply] simp [mul_comm]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: ComplementedSubspace/ComplexAmbientSchauder.lean:103:10: This simp argument is unused:
  PiLp.smul_apply

Hint: Omit it from the simp argument list.
  [apply] simp [PiLp.single_apply, Pi.single_apply]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: ComplementedSubspace/ComplexAmbientSchauder.lean:103:27: This simp argument is unused:
  PiLp.single_apply

Hint: Omit it from the simp argument list.
  [apply] simp [PiLp.smul_apply, Pi.single_apply]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: ComplementedSubspace/ComplexAmbientSchauder.lean:130:45: `ContinuousLinearMap.sum_apply` has been deprecated: Use `sum_apply` instead

Note: The updated constant is in a different namespace. Dot notation may need to be changed (e.g., from `x.sum_apply` to `sum_apply x`).
warning: ComplementedSubspace/ComplexAmbientSchauder.lean:145:51: `if_pos` has been deprecated: Use `ite_eq_left` instead
warning: ComplementedSubspace/ComplexAmbientSchauder.lean:166:46: `ContinuousLinearMap.sum_apply` has been deprecated: Use `sum_apply` instead

Note: The updated constant is in a different namespace. Dot notation may need to be changed (e.g., from `x.sum_apply` to `sum_apply x`).
warning: ComplementedSubspace/ComplexAmbientSchauder.lean:179:35: This simp argument is unused:
  Pi.single_apply

Hint: Omit it from the simp argument list.
  [apply] simp [hij, eq_comm]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: ComplementedSubspace/ComplexAmbientSchauder.lean:179:57: This simp argument is unused:
  eq_comm

Hint: Omit it from the simp argument list.
  [apply] simp [Pi.single_apply, hij]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: ComplementedSubspace/ComplexAmbientSchauder.lean:200:27: This simp argument is unused:
  eq_comm

Hint: Omit it from the simp argument list.
  [apply] simp [Pi.single_apply]

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
warning: ComplementedSubspace/ComplexAmbientSchauder.lean:212:47: `ContinuousLinearMap.sum_apply` has been deprecated: Use `sum_apply` instead

Note: The updated constant is in a different namespace. Dot notation may need to be changed (e.g., from `x.sum_apply` to `sum_apply x`).
✔ [2755/2766] Built ComplementedSubspace.DiagonalFrameProduct (15s)
✔ [2756/2766] Built ComplementedSubspace.LocalHilbertEmbeddedRenorm (14s)
✔ [2757/2771] Built ComplementedSubspace.FiniteDualSuperspace (15s)
✔ [2758/2771] Built ComplementedSubspace.FiniteProductObstruction (13s)
⚠ [2759/2771] Built ComplementedSubspace.FiniteBlockDPRLower (14s)
warning: ComplementedSubspace/FiniteBlockDPRLower.lean:31:2: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
✔ [2760/2772] Built ComplementedSubspace.LocalHilbertDualTop (13s)
⚠ [2761/2774] Built ComplementedSubspace.LocalHilbertHeadRenorm (16s)
warning: ComplementedSubspace/LocalHilbertHeadRenorm.lean:22:0: automatically included section variable(s) unused in theorem `ComplementedSubspace.ApproxParallelogram.prodL2`:
  [NormedSpace ℝ E]
  [NormedSpace ℝ F]
consider restructuring your `variable` declarations so that the variables are not in scope or explicitly omit them:
  omit [NormedSpace ℝ E] [NormedSpace ℝ F] in theorem ...

Note: This linter can be disabled with `set_option linter.unusedSectionVars false`
✔ [2762/2774] Built ComplementedSubspace.DPRPredicates (11s)
⚠ [2763/2774] Built ComplementedSubspace.IsometricProductDPRLower (14s)
warning: ComplementedSubspace/IsometricProductDPRLower.lean:28:2: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
✔ [2764/2776] Built ComplementedSubspace.InfiniteFrameObstruction (12s)
⚠ [2765/2776] Built ComplementedSubspace.FiniteDualDPRLower (18s)
warning: ComplementedSubspace/FiniteDualDPRLower.lean:33:2: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
warning: ComplementedSubspace/FiniteDualDPRLower.lean:43:2: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
warning: ComplementedSubspace/FiniteDualDPRLower.lean:44:2: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
✔ [2766/2779] Built ComplementedSubspace.LocalHilbertRecursiveKernelDual (20s)
✔ [2767/2780] Built ComplementedSubspace.FiniteBidualDPRLower (14s)
✔ [2768/2782] Built ComplementedSubspace.RecursiveDiagonalDPR (16s)
⚠ [2769/2782] Built ComplementedSubspace.ComplexFrameCoefficient (14s)
warning: ComplementedSubspace/ComplexFrameCoefficient.lean:35:37: Variable name `p` is not explicitly referenced.

Hint: The binding can be removed (if unused) or named `_` (if used implicitly). Alternatively, prefix the name with `_` to silence this warning:
  [apply] _p

Note: This linter can be disabled with `set_option linter.unusedVariables false`
warning: ComplementedSubspace/ComplexFrameCoefficient.lean:123:18: This simp argument is unused:
  PiLp.toLp_apply

Hint: Omit it from the simp argument list.
  [apply] simp only [hp']

Note: This linter can be disabled with `set_option linter.unusedSimpArgs false`
✔ [2770/2782] Built ComplementedSubspace.RecursiveDiagonalDualDPR (15s)
✔ [2771/2782] Built ComplementedSubspace.RecursiveDiagonalBidualDPR (17s)
✔ [2772/2782] Built ComplementedSubspace.ComplexReindexedFrameProjection (14s)
✔ [2773/2785] Built ComplementedSubspace.ActualProjectionDPR (14s)
✔ [2774/2785] Built ComplementedSubspace.LpSubmoduleScalar (13s)
✔ [2775/2785] Built ComplementedSubspace.ComplexFrameRealification (15s)
✔ [2777/2789] Built ComplementedSubspace.ComplexFrameCoefficientRange (13s)
✔ [2778/2789] Built ComplementedSubspace.ActualProjectionBidualDPR (14s)
✔ [2779/2789] Built ComplementedSubspace.ActualProjectionDualDPR (16s)
✔ [2780/2789] Built ComplementedSubspace.LpUniformEquiv (13s)
✔ [2781/2789] Built ComplementedSubspace.ComplexRecursiveProjection (16s)
✔ [2782/2789] Built ComplementedSubspace.ComplexRealDPR (16s)
✔ [2783/2789] Built ComplementedSubspace.RealMainTheorem (16s)
✔ [2784/2789] Built ComplementedSubspace.PureFrameDPR (20s)
⚠ [2785/2789] Built ComplementedSubspace.RealMainConsequences (20s)
warning: ComplementedSubspace/RealMainConsequences.lean:27:2: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
⚠ [2786/2789] Built ComplementedSubspace.ComplexCorollaryAssembly (19s)
warning: ComplementedSubspace/ComplexCorollaryAssembly.lean:32:2: Try this: 
  letI̵

The goal is a proposition, so `let` is preferred over `letI`.
The difference between `let` and `letI` is that `letI` inlines the value.
But this is not relevant for proofs because of proof irrelevance.

Note: This linter can be disabled with `set_option linter.style.haveILetI false`
✔ [2787/2789] Built ComplementedSubspace.ComplexProjectionRealEquiv (19s)
✔ [2788/2789] Built ComplementedSubspace.ComplexCorollary (16s)
✔ [2789/2789] Built ComplementedSubspace (15s)
Build completed successfully (2789 jobs).

STDERR (verbatim)