theorem Aesop.Array.size_modify {α : Type u_1} (a : Array α) (i : Nat) (f : α → α) : (a.modify i f).size = a.size

@[inline]

def Aesop.time {m : Type → Type u_1} {α : Type} [Monad m] [MonadLiftT BaseIO m] (x : m α) : m (α × Aesop.Nanos)

Equations

• Aesop.time x = do let start ← liftM IO.monoNanosNow let a ← x let stop ← liftM IO.monoNanosNow pure (a, { nanos := stop - start })

@[inline]

def Aesop.time' {m : Type → Type u_1} [Monad m] [MonadLiftT BaseIO m] (x : m Unit) : m Aesop.Nanos

Equations

• Aesop.time' x = do let start ← liftM IO.monoNanosNow x let stop ← liftM IO.monoNanosNow pure { nanos := stop - start }

def Aesop.HashSet.filter {α : Type u_1} [BEq α] [Hashable α] (hs : Lean.HashSet α) (p : α → Bool) : Lean.HashSet α

Equations

• Aesop.HashSet.filter hs p = Lean.HashSet.fold (fun (hs : Lean.HashSet α) (a : α) => if p a = true then hs.insert a else hs) ∅ hs

@[inline]

def Aesop.PersistentHashSet.toList {α : Type u_1} [BEq α] [Hashable α] (s : Lean.PersistentHashSet α) : List α

Equations

• Aesop.PersistentHashSet.toList s = Lean.PersistentHashSet.fold (fun (as : List α) (a : α) => a :: as) [] s

@[inline]

def Aesop.PersistentHashSet.toArray {α : Type u_1} [BEq α] [Hashable α] (s : Lean.PersistentHashSet α) : Array α

Equations

• Aesop.PersistentHashSet.toArray s = Lean.PersistentHashSet.fold (fun (as : Array α) (a : α) => as.push a) (Array.mkEmpty s.size) s

def Aesop.getConclusionDiscrTreeKeys (type : Lean.Expr) (config : Lean.Meta.WhnfCoreConfig) : Lean.MetaM (Array Lean.Meta.DiscrTree.Key)

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def Aesop.getConstDiscrTreeKeys (decl : Lean.Name) : Lean.MetaM (Array Lean.Meta.DiscrTree.Key)

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• One or more equations did not get rendered due to their size.

def Aesop.isEmptyTrie {α : Type} : Lean.Meta.DiscrTree.Trie α → Bool

Equations

• Aesop.isEmptyTrie x = match x with | Lean.Meta.DiscrTree.Trie.node vs children => vs.isEmpty && children.isEmpty

@[specialize #[]]

def Aesop.filterDiscrTreeM {m : Type u_1 → Type u_2} {σ : Type u_1} {α : Type} [Monad m] [Inhabited σ] (p : α → m (ULift Bool)) (f : σ → α → m σ) (init : σ) (t : Lean.Meta.DiscrTree α) : m (Lean.Meta.DiscrTree α × σ)

Remove elements for which p returns false from the given DiscrTree. The removed elements are monadically folded over using f and init, so f is called once for each removed element and the final state of type σ is returned.

Equations

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def Aesop.filterDiscrTree {σ : Type u_1} {α : Type} [Inhabited σ] (p : α → Bool) (f : σ → α → σ) (init : σ) (t : Lean.Meta.DiscrTree α) : Lean.Meta.DiscrTree α × σ

Remove elements for which p returns false from the given DiscrTree. The removed elements are folded over using f and init, so f is called once for each removed element and the final state of type σ is returned.

Equations

• Aesop.filterDiscrTree p f init t = (Aesop.filterDiscrTreeM (fun (a : α) => pure { down := p a }) (fun (s : σ) (a : α) => pure (f s a)) init t).run

def Aesop.SimpTheorems.addSimpEntry (s : Lean.Meta.SimpTheorems) : Lean.Meta.SimpEntry → Lean.Meta.SimpTheorems

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def Aesop.SimpTheorems.foldSimpEntriesM {m : Type u_1 → Type u_1} {σ : Type u_1} [Monad m] (f : σ → Lean.Meta.SimpEntry → m σ) (init : σ) (thms : Lean.Meta.SimpTheorems) : m σ

Equations

• One or more equations did not get rendered due to their size.

@[inline]

def Aesop.SimpTheorems.foldSimpEntriesM.processTheorem {m : Type u_1 → Type u_1} {σ : Type u_1} [Monad m] (f : σ → Lean.Meta.SimpEntry → m σ) (thms : Lean.Meta.SimpTheorems) (s : σ) (thm : Lean.Meta.SimpTheorem) : m σ

Equations

• Aesop.SimpTheorems.foldSimpEntriesM.processTheorem f thms s thm = if Lean.PersistentHashSet.contains thms.erased thm.origin = true then pure s else f s (Lean.Meta.SimpEntry.thm thm)

def Aesop.SimpTheorems.foldSimpEntries {σ : Type u_1} (f : σ → Lean.Meta.SimpEntry → σ) (init : σ) (thms : Lean.Meta.SimpTheorems) : σ

Equations

• Aesop.SimpTheorems.foldSimpEntries f init thms = (Aesop.SimpTheorems.foldSimpEntriesM f init thms).run

def Aesop.SimpTheorems.simpEntries (thms : Lean.Meta.SimpTheorems) : Array Lean.Meta.SimpEntry

Equations

• Aesop.SimpTheorems.simpEntries thms = Aesop.SimpTheorems.foldSimpEntries (fun (s : Array Lean.Meta.SimpEntry) (thm : Lean.Meta.SimpEntry) => s.push thm) #[] thms

def Aesop.SimpTheorems.containsDecl (thms : Lean.Meta.SimpTheorems) (decl : Lean.Name) : Bool

Equations

• Aesop.SimpTheorems.containsDecl thms decl = (thms.isLemma (Lean.Meta.Origin.decl decl true) || thms.isDeclToUnfold decl || Lean.PersistentHashMap.contains thms.toUnfoldThms decl)

@[inline]

def Aesop.setThe (σ : Type u_1) {m : Type u_1 → Type u_2} [MonadStateOf σ m] (s : σ) : m PUnit

Equations

• Aesop.setThe σ s = set s

@[inline]

def Aesop.runMetaMAsCoreM {α : Type} (x : Lean.MetaM α) : Lean.CoreM α

Equations

• One or more equations did not get rendered due to their size.

@[inline]

def Aesop.runTermElabMAsCoreM {α : Type} (x : Lean.Elab.TermElabM α) : Lean.CoreM α

Equations

• One or more equations did not get rendered due to their size.

def Aesop.runTacticMAsMetaM {α : Type} (x : Lean.Elab.Tactic.TacticM α) (goals : List Lean.MVarId) : Lean.MetaM (α × List Lean.MVarId)

Equations

• One or more equations did not get rendered due to their size.

def Aesop.runTacticSyntaxAsMetaM (stx : Lean.Syntax) (goals : List Lean.MVarId) : Lean.MetaM (List Lean.MVarId)

Equations

• Aesop.runTacticSyntaxAsMetaM stx goals = do let __do_lift ← Aesop.runTacticMAsMetaM (Lean.Elab.Tactic.evalTactic stx) goals pure __do_lift.snd

def Aesop.updateSimpEntryPriority (priority : Nat) (e : Lean.Meta.SimpEntry) : Lean.Meta.SimpEntry

Equations

• One or more equations did not get rendered due to their size.

def Aesop.getMVarDependencies (e : Lean.Expr) : Lean.MetaM (Lean.HashSet Lean.MVarId)

Equations

• Aesop.getMVarDependencies e = do let __discr ← (Lean.MVarId.getMVarDependencies.addMVars true e).run ∅ match __discr with | (fst, deps) => pure deps

def Aesop.hasSorry {m : Type → Type} [Monad m] [Lean.MonadMCtx m] (e : Lean.Expr) : m Bool

Equations

• Aesop.hasSorry e = do let __do_lift ← Lean.getMCtx pure (Aesop.hasSorry.go __do_lift e)

partial def Aesop.hasSorry.go (mctx : Lean.MetavarContext) (e : Lean.Expr) : Bool

def Aesop.isAppOfUpToDefeq (f : Lean.Expr) (e : Lean.Expr) : Lean.MetaM Bool

Equations

• One or more equations did not get rendered due to their size.

def Aesop.getAppUpToDefeq (e : Lean.Expr) : Lean.MetaM (Lean.Expr × Array Lean.Expr)

If the input expression e reduces to f x₁ ... xₙ via repeated whnf, this function returns f and [x₁, ⋯, xₙ]. Otherwise it returns e (unchanged, not in WHNF!) and [].

Equations

• Aesop.getAppUpToDefeq e = Aesop.getAppUpToDefeq.go #[] e

partial def Aesop.getAppUpToDefeq.go (args : Array Lean.Expr) (e : Lean.Expr) : Lean.MetaM (Lean.Expr × Array Lean.Expr)

def Aesop.partitionGoalsAndMVars (goals : Array Lean.MVarId) : Lean.MetaM (Array (Lean.MVarId × Aesop.UnorderedArraySet Lean.MVarId) × Aesop.UnorderedArraySet Lean.MVarId)

Partition an array of MVarIds into 'goals' and 'proper mvars'. An MVarId from the input array ms is classified as a proper mvar if any of the ms depend on it, and as a goal otherwise. Additionally, for each goal, we report the set of mvars that the goal depends on.

Equations

• One or more equations did not get rendered due to their size.

def Aesop.runTacticMCapturingPostState (t : Lean.Elab.Tactic.TacticM Unit) (preState : Lean.Meta.SavedState) (preGoals : List Lean.MVarId) : Lean.MetaM (Lean.Meta.SavedState × List Lean.MVarId)

Equations

• One or more equations did not get rendered due to their size.

def Aesop.runTacticCapturingPostState (t : Lean.Syntax.Tactic) (preState : Lean.Meta.SavedState) (preGoals : List Lean.MVarId) : Lean.MetaM (Lean.Meta.SavedState × List Lean.MVarId)

Equations

• Aesop.runTacticCapturingPostState t preState preGoals = Aesop.runTacticMCapturingPostState (Lean.Elab.Tactic.evalTactic t.raw) preState preGoals

def Aesop.runTacticSeqCapturingPostState (t : Lean.TSyntax `Lean.Parser.Tactic.tacticSeq) (preState : Lean.Meta.SavedState) (preGoals : List Lean.MVarId) : Lean.MetaM (Lean.Meta.SavedState × List Lean.MVarId)

Equations

• Aesop.runTacticSeqCapturingPostState t preState preGoals = Aesop.runTacticMCapturingPostState (Lean.Elab.Tactic.evalTactic t.raw) preState preGoals

def Aesop.runTacticsCapturingPostState (ts : Array Lean.Syntax.Tactic) (preState : Lean.Meta.SavedState) (preGoals : List Lean.MVarId) : Lean.MetaM (Lean.Meta.SavedState × List Lean.MVarId)

Equations

• One or more equations did not get rendered due to their size.

def Aesop.withTransparencySeqSyntax (md : Lean.Meta.TransparencyMode) (k : Lean.TSyntax `Lean.Parser.Tactic.tacticSeq) : Lean.TSyntax `Lean.Parser.Tactic.tacticSeq

Equations

• One or more equations did not get rendered due to their size.

def Aesop.withAllTransparencySeqSyntax (md : Lean.Meta.TransparencyMode) (k : Lean.TSyntax `Lean.Parser.Tactic.tacticSeq) : Lean.TSyntax `Lean.Parser.Tactic.tacticSeq

Equations

• One or more equations did not get rendered due to their size.

def Aesop.withTransparencySyntax (md : Lean.Meta.TransparencyMode) (k : Lean.TSyntax `tactic) : Lean.TSyntax `tactic

Equations

• One or more equations did not get rendered due to their size.

def Aesop.withAllTransparencySyntax (md : Lean.Meta.TransparencyMode) (k : Lean.TSyntax `tactic) : Lean.TSyntax `tactic

Equations

• One or more equations did not get rendered due to their size.

def Aesop.addTryThisTacticSeqSuggestion (ref : Lean.Syntax) (suggestion : Lean.TSyntax `Lean.Parser.Tactic.tacticSeq) (origSpan? : optParam (Option Lean.Syntax) none) : Lean.MetaM Unit

Register a "Try this" suggestion for a tactic sequence.

It works when the tactic to replace appears on its own line:

by
  aesop?

It doesn't work (i.e., the suggestion will appear but in the wrong place) when the tactic to replace is preceded by other text on the same line:

have x := by aesop?

The Try this: suggestion in the infoview is not correctly formatted, but there's nothing we can do about this at the moment.

Equations

• One or more equations did not get rendered due to their size.

def Aesop.addTryThisTacticSeqSuggestion.dedent (s : String) : String

Equations

• One or more equations did not get rendered due to their size.

def Aesop.withMaxHeartbeats {m : Type → Type u_1} {α : Type} [Monad m] [MonadLiftT BaseIO m] [MonadWithReaderOf Lean.Core.Context m] (n : Nat) (x : m α) : m α

Runs a computation for at most the given number of heartbeats times 1000, ignoring the global heartbeat limit. Note that heartbeats spent on the computation still count towards the global heartbeat count.

Equations

• One or more equations did not get rendered due to their size.

def Aesop.elabPattern (stx : Lean.Syntax) : Lean.Elab.TermElabM Lean.Expr

Equations

• Aesop.elabPattern stx = Lean.withRef stx (withReader Aesop.elabPattern.adjustCtx (Lean.Elab.Term.withSynthesize (Lean.Elab.Term.elabTerm stx none true)))

def Aesop.elabPattern.adjustCtx (old : Lean.Elab.Term.Context) : Lean.Elab.Term.Context

Equations

• One or more equations did not get rendered due to their size.

opaque Aesop.aesop.smallErrorMessages : Lean.Option Bool

def Aesop.tacticsToMessageData (ts : Array Lean.Syntax.Tactic) : Lean.MessageData

Equations

• Aesop.tacticsToMessageData ts = Lean.MessageData.joinSep (Array.map Lean.toMessageData ts).toList ((Lean.MessageData.ofFormat ∘ Std.format) "\n")

def Aesop.getUnusedNames (lctx : Lean.LocalContext) (suggestions : Array Lean.Name) : Array Lean.Name × Lean.LocalContext

Note: the returned local context contains invalid LocalDecls.

Equations

• Aesop.getUnusedNames lctx suggestions = Aesop.getUnusedNames.go suggestions 0 (Array.mkEmpty suggestions.size) lctx

@[irreducible]

def Aesop.getUnusedNames.go (suggestions : Array Lean.Name) (i : Nat) (acc : Array Lean.Name) (lctx : Lean.LocalContext) : Array Lean.Name × Lean.LocalContext

Equations

• One or more equations did not get rendered due to their size.

def Aesop.getUnusedNames.dummyLDecl (name : Lean.Name) : Lean.LocalDecl

Equations

• Aesop.getUnusedNames.dummyLDecl name = Lean.LocalDecl.cdecl 0 { name := `_ } name (Lean.Expr.sort Lean.levelZero) Lean.BinderInfo.default Lean.LocalDeclKind.default

def Aesop.Name.ofComponents (cs : List Lean.Name) : Lean.Name

Equations

• One or more equations did not get rendered due to their size.

@[macro_inline]

def Aesop.withExceptionTransform {m : Type → Type} {α : Type} [Monad m] [Lean.MonadError m] (f : Lean.MessageData → Lean.MessageData) (x : m α) : m α

Equations

• One or more equations did not get rendered due to their size.

@[macro_inline]

def Aesop.withExceptionPrefix {m : Type → Type} {α : Type} [Monad m] [Lean.MonadError m] (pre : Lean.MessageData) : m α → m α

Equations

• Aesop.withExceptionPrefix pre = Aesop.withExceptionTransform fun (msg : Lean.MessageData) => pre ++ msg