def Lean.Elab.admitGoal (mvarId : Lean.MVarId) : Lean.MetaM Unit

Assign mvarId := sorry

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def Lean.Elab.goalsToMessageData (goals : List Lean.MVarId) : Lean.MessageData

Equations

• Lean.Elab.goalsToMessageData goals = Lean.MessageData.joinSep (List.map Lean.MessageData.ofGoal goals) (Lean.toMessageData "\n\n")

def Lean.Elab.Term.reportUnsolvedGoals (goals : List Lean.MVarId) : Lean.Elab.TermElabM Unit

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structure Lean.Elab.Tactic.Context : Type

• Declaration name of the executing elaborator, used by mkTacticInfo to persist it in the info tree

  elaborator : Lean.Name

• If true, enable "error recovery" in some tactics. For example, cases tactic admits unsolved alternatives when recover == true. The combinator withoutRecover disables "error recovery" while executing . This is useful for tactics such as first | ... | ....

  recover : Bool

structure Lean.Elab.Tactic.SavedState : Type

• term : Lean.Elab.Term.SavedState
• tactic : Lean.Elab.Tactic.State

@[inline]

abbrev Lean.Elab.Tactic.TacticM (α : Type) : Type

Equations

• Lean.Elab.Tactic.TacticM = ReaderT Lean.Elab.Tactic.Context (StateRefT' IO.RealWorld Lean.Elab.Tactic.State Lean.Elab.TermElabM)

@[inline]

abbrev Lean.Elab.Tactic.Tactic : Type

Equations

• Lean.Elab.Tactic.Tactic = (Lean.Syntax → Lean.Elab.Tactic.TacticM Unit)

instance Lean.Elab.Tactic.instMonadTacticM : Monad Lean.Elab.Tactic.TacticM

Equations

• Lean.Elab.Tactic.instMonadTacticM = let i := inferInstanceAs (Monad Lean.Elab.Tactic.TacticM); Monad.mk

def Lean.Elab.Tactic.getGoals : Lean.Elab.Tactic.TacticM (List Lean.MVarId)

Equations

• Lean.Elab.Tactic.getGoals = do let a ← get pure a.goals

def Lean.Elab.Tactic.setGoals (mvarIds : List Lean.MVarId) : Lean.Elab.Tactic.TacticM Unit

Equations

• Lean.Elab.Tactic.setGoals mvarIds = modify fun x => { goals := mvarIds }

def Lean.Elab.Tactic.pruneSolvedGoals : Lean.Elab.Tactic.TacticM Unit

Equations

• Lean.Elab.Tactic.pruneSolvedGoals = do let gs ← Lean.Elab.Tactic.getGoals let gs ← List.filterM (fun g => not <$> Lean.MVarId.isAssigned g) gs Lean.Elab.Tactic.setGoals gs

def Lean.Elab.Tactic.getUnsolvedGoals : Lean.Elab.Tactic.TacticM (List Lean.MVarId)

Equations

• Lean.Elab.Tactic.getUnsolvedGoals = do Lean.Elab.Tactic.pruneSolvedGoals Lean.Elab.Tactic.getGoals

def Lean.Elab.Tactic.run (mvarId : Lean.MVarId) (x : Lean.Elab.Tactic.TacticM Unit) : Lean.Elab.TermElabM (List Lean.MVarId)

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def Lean.Elab.Tactic.saveState : Lean.Elab.Tactic.TacticM Lean.Elab.Tactic.SavedState

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• Lean.Elab.Tactic.saveState = do let a ← liftM Lean.Elab.Term.saveState let a_1 ← get pure { term := a, tactic := a_1 }

def Lean.Elab.Tactic.SavedState.restore (b : Lean.Elab.Tactic.SavedState) (restoreInfo : optParam Bool false) : Lean.Elab.Tactic.TacticM Unit

Equations

• Lean.Elab.Tactic.SavedState.restore b restoreInfo = do liftM (Lean.Elab.Term.SavedState.restore b.term restoreInfo) set b.tactic

def Lean.Elab.Tactic.getCurrMacroScope : Lean.Elab.Tactic.TacticM Lean.MacroScope

Equations

• Lean.Elab.Tactic.getCurrMacroScope = do let a ← readThe Lean.Core.Context pure a.currMacroScope

def Lean.Elab.Tactic.getMainModule : Lean.Elab.Tactic.TacticM Lean.Name

Equations

• Lean.Elab.Tactic.getMainModule = do let a ← Lean.getEnv pure (Lean.Environment.mainModule a)

unsafe def Lean.Elab.Tactic.mkTacticAttribute : IO (Lean.KeyedDeclsAttribute Lean.Elab.Tactic.Tactic)

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opaque Lean.Elab.Tactic.tacticElabAttribute : Lean.KeyedDeclsAttribute Lean.Elab.Tactic.Tactic

def Lean.Elab.Tactic.mkTacticInfo (mctxBefore : Lean.MetavarContext) (goalsBefore : List Lean.MVarId) (stx : Lean.Syntax) : Lean.Elab.Tactic.TacticM Lean.Elab.Info

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def Lean.Elab.Tactic.mkInitialTacticInfo (stx : Lean.Syntax) : Lean.Elab.Tactic.TacticM (Lean.Elab.Tactic.TacticM Lean.Elab.Info)

Equations

• Lean.Elab.Tactic.mkInitialTacticInfo stx = do let mctxBefore ← Lean.getMCtx let goalsBefore ← Lean.Elab.Tactic.getUnsolvedGoals pure (Lean.Elab.Tactic.mkTacticInfo mctxBefore goalsBefore stx)

@[inline]

def Lean.Elab.Tactic.withTacticInfoContext {α : Type} (stx : Lean.Syntax) (x : Lean.Elab.Tactic.TacticM α) : Lean.Elab.Tactic.TacticM α

Equations

• Lean.Elab.Tactic.withTacticInfoContext stx x = do let a ← Lean.Elab.Tactic.mkInitialTacticInfo stx Lean.Elab.withInfoContext x a

Important: we must define evalTactic before we define the instance MonadExcept for TacticM since it backtracks the state including error messages, and this is bad when rethrowing the exception at the catch block in these methods. We marked these places with a (*) in these methods.

structure Lean.Elab.Tactic.EvalTacticFailure : Type

• exception : Lean.Exception
• state : Lean.Elab.Tactic.SavedState

Auxiliary datastructure for capturing exceptions at evalTactic.

partial def Lean.Elab.Tactic.evalTactic (stx : Lean.Syntax) : Lean.Elab.Tactic.TacticM Unit

def Lean.Elab.Tactic.evalTactic.throwExs (stx : Lean.Syntax) (failures : Array Lean.Elab.Tactic.EvalTacticFailure) : Lean.Elab.Tactic.TacticM Unit

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@[inline]

def Lean.Elab.Tactic.evalTactic.handleEx (s : Lean.Elab.Tactic.SavedState) (failures : Array Lean.Elab.Tactic.EvalTacticFailure) (ex : Lean.Exception) (k : Array Lean.Elab.Tactic.EvalTacticFailure → Lean.Elab.Tactic.TacticM Unit) : Lean.Elab.Tactic.TacticM Unit

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partial def Lean.Elab.Tactic.evalTactic.expandEval (stx : Lean.Syntax) (s : Lean.Elab.Tactic.SavedState) (macros : List (Lean.KeyedDeclsAttribute.AttributeEntry Lean.Macro)) (evalFns : List (Lean.KeyedDeclsAttribute.AttributeEntry Lean.Elab.Tactic.Tactic)) (failures : Array Lean.Elab.Tactic.EvalTacticFailure) : Lean.Elab.Tactic.TacticM Unit

partial def Lean.Elab.Tactic.evalTactic.eval (stx : Lean.Syntax) (s : Lean.Elab.Tactic.SavedState) (evalFns : List (Lean.KeyedDeclsAttribute.AttributeEntry Lean.Elab.Tactic.Tactic)) (failures : Array Lean.Elab.Tactic.EvalTacticFailure) : Lean.Elab.Tactic.TacticM Unit

def Lean.Elab.Tactic.throwNoGoalsToBeSolved {α : Type} : Lean.Elab.Tactic.TacticM α

Equations

• Lean.Elab.Tactic.throwNoGoalsToBeSolved = Lean.throwError (Lean.toMessageData "no goals to be solved")

def Lean.Elab.Tactic.done : Lean.Elab.Tactic.TacticM Unit

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def Lean.Elab.Tactic.focus {α : Type} (x : Lean.Elab.Tactic.TacticM α) : Lean.Elab.Tactic.TacticM α

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def Lean.Elab.Tactic.focusAndDone {α : Type} (tactic : Lean.Elab.Tactic.TacticM α) : Lean.Elab.Tactic.TacticM α

Equations

• Lean.Elab.Tactic.focusAndDone tactic = Lean.Elab.Tactic.focus do let a ← tactic Lean.Elab.Tactic.done pure a

def Lean.Elab.Tactic.closeUsingOrAdmit (tac : Lean.Elab.Tactic.TacticM Unit) : Lean.Elab.Tactic.TacticM Unit

Close the main goal using the given tactic. If it fails, log the error and admit

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instance Lean.Elab.Tactic.instMonadBacktrackSavedStateTacticM : Lean.MonadBacktrack Lean.Elab.Tactic.SavedState Lean.Elab.Tactic.TacticM

Equations

• Lean.Elab.Tactic.instMonadBacktrackSavedStateTacticM = { saveState := Lean.Elab.Tactic.saveState, restoreState := fun b => Lean.Elab.Tactic.SavedState.restore b false }

@[inline]

def Lean.Elab.Tactic.tryCatch {α : Type} (x : Lean.Elab.Tactic.TacticM α) (h : Lean.Exception → Lean.Elab.Tactic.TacticM α) : Lean.Elab.Tactic.TacticM α

Equations

• Lean.Elab.Tactic.tryCatch x h = do let b ← Lean.saveState tryCatch x fun ex => do Lean.Elab.Tactic.SavedState.restore b false h ex

instance Lean.Elab.Tactic.instMonadExceptExceptionTacticM : MonadExcept Lean.Exception Lean.Elab.Tactic.TacticM

Equations

• Lean.Elab.Tactic.instMonadExceptExceptionTacticM = { throw := fun {α} => throw, tryCatch := fun {α} => Lean.Elab.Tactic.tryCatch }

def Lean.Elab.Tactic.withoutRecover {α : Type} (x : Lean.Elab.Tactic.TacticM α) : Lean.Elab.Tactic.TacticM α

Execute x with error recovery disabled

Equations

• Lean.Elab.Tactic.withoutRecover x = withReader (fun ctx => { elaborator := ctx.elaborator, recover := false }) x

@[inline]

def Lean.Elab.Tactic.orElse {α : Type} (x : Lean.Elab.Tactic.TacticM α) (y : Unit → Lean.Elab.Tactic.TacticM α) : Lean.Elab.Tactic.TacticM α

Equations

• Lean.Elab.Tactic.orElse x y = tryCatch (Lean.Elab.Tactic.withoutRecover x) fun x => y ()

instance Lean.Elab.Tactic.instOrElseTacticM {α : Type} : OrElse (Lean.Elab.Tactic.TacticM α)

Equations

• Lean.Elab.Tactic.instOrElseTacticM = { orElse := Lean.Elab.Tactic.orElse }

instance Lean.Elab.Tactic.instAlternativeTacticM : Alternative Lean.Elab.Tactic.TacticM

Equations

• Lean.Elab.Tactic.instAlternativeTacticM = Alternative.mk (fun {x} => Lean.throwError (Lean.toMessageData "failed")) fun {α} => Lean.Elab.Tactic.orElse

def Lean.Elab.Tactic.saveTacticInfoForToken (stx : Lean.Syntax) : Lean.Elab.Tactic.TacticM Unit

Save the current tactic state for a token stx. This method is a no-op if stx has no position information. We use this method to save the tactic state at punctuation such as ;

Equations

• Lean.Elab.Tactic.saveTacticInfoForToken stx = if Option.isNone (Lean.Syntax.getPos? stx) = true then pure PUnit.unit else Lean.Elab.Tactic.withTacticInfoContext stx (pure ())

@[inline]

def Lean.Elab.Tactic.withMacroExpansion {α : Type} (beforeStx : Lean.Syntax) (afterStx : Lean.Syntax) (x : Lean.Elab.Tactic.TacticM α) : Lean.Elab.Tactic.TacticM α

Elaborate x with stx on the macro stack

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def Lean.Elab.Tactic.adaptExpander (exp : Lean.Syntax → Lean.Elab.Tactic.TacticM Lean.Syntax) : Lean.Elab.Tactic.Tactic

Adapt a syntax transformation to a regular tactic evaluator.

Equations

• Lean.Elab.Tactic.adaptExpander exp stx = do let stx' ← exp stx Lean.Elab.Tactic.withMacroExpansion stx stx' (Lean.Elab.Tactic.evalTactic stx')

def Lean.Elab.Tactic.appendGoals (mvarIds : List Lean.MVarId) : Lean.Elab.Tactic.TacticM Unit

Add the given goals at the end of the current goals collection.

Equations

• Lean.Elab.Tactic.appendGoals mvarIds = modify fun s => { goals := s.goals ++ mvarIds }

def Lean.Elab.Tactic.replaceMainGoal (mvarIds : List Lean.MVarId) : Lean.Elab.Tactic.TacticM Unit

Discard the first goal and replace it by the given list of goals, keeping the other goals.

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def Lean.Elab.Tactic.getMainGoal : Lean.Elab.Tactic.TacticM Lean.MVarId

Return the first goal.

Equations

• Lean.Elab.Tactic.getMainGoal = do let a ← Lean.Elab.Tactic.getGoals Lean.Elab.Tactic.getMainGoal.loop a

def Lean.Elab.Tactic.getMainGoal.loop : List Lean.MVarId → Lean.Elab.Tactic.TacticM Lean.MVarId

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• Lean.Elab.Tactic.getMainGoal.loop [] = Lean.Elab.Tactic.throwNoGoalsToBeSolved

def Lean.Elab.Tactic.getMainDecl : Lean.Elab.Tactic.TacticM Lean.MetavarDecl

Return the main goal metavariable declaration.

Equations

• Lean.Elab.Tactic.getMainDecl = do let a ← Lean.Elab.Tactic.getMainGoal liftM (Lean.MVarId.getDecl a)

def Lean.Elab.Tactic.getMainTag : Lean.Elab.Tactic.TacticM Lean.Name

Return the main goal tag.

Equations

• Lean.Elab.Tactic.getMainTag = do let a ← Lean.Elab.Tactic.getMainDecl pure a.userName

def Lean.Elab.Tactic.getMainTarget : Lean.Elab.Tactic.TacticM Lean.Expr

Return expected type for the main goal.

Equations

• Lean.Elab.Tactic.getMainTarget = do let a ← Lean.Elab.Tactic.getMainDecl Lean.instantiateMVars a.type

def Lean.Elab.Tactic.withMainContext {α : Type} (x : Lean.Elab.Tactic.TacticM α) : Lean.Elab.Tactic.TacticM α

Execute x using the main goal local context and instances

Equations

• Lean.Elab.Tactic.withMainContext x = do let a ← Lean.Elab.Tactic.getMainGoal Lean.MVarId.withContext a x

def Lean.Elab.Tactic.evalTacticAt (tac : Lean.Syntax) (mvarId : Lean.MVarId) : Lean.Elab.Tactic.TacticM (List Lean.MVarId)

Evaluate tac at mvarId, and return the list of resulting subgoals.

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def Lean.Elab.Tactic.ensureHasNoMVars (e : Lean.Expr) : Lean.Elab.Tactic.TacticM Unit

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def Lean.Elab.Tactic.closeMainGoal (val : Lean.Expr) (checkUnassigned : optParam Bool true) : Lean.Elab.Tactic.TacticM Unit

Close main goal using the given expression. If checkUnassigned == true, then val must not contain unassinged metavariables.

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@[inline]

def Lean.Elab.Tactic.liftMetaMAtMain {α : Type} (x : Lean.MVarId → Lean.MetaM α) : Lean.Elab.Tactic.TacticM α

Equations

• Lean.Elab.Tactic.liftMetaMAtMain x = Lean.Elab.Tactic.withMainContext do let a ← Lean.Elab.Tactic.getMainGoal liftM (x a)

@[inline]

def Lean.Elab.Tactic.liftMetaTacticAux {α : Type} (tac : Lean.MVarId → Lean.MetaM (α × List Lean.MVarId)) : Lean.Elab.Tactic.TacticM α

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@[inline]

def Lean.Elab.Tactic.liftMetaTactic (tactic : Lean.MVarId → Lean.MetaM (List Lean.MVarId)) : Lean.Elab.Tactic.TacticM Unit

Get the mvarid of the main goal, run the given tactic, then set the new goals to be the resulting goal list.

Equations

• Lean.Elab.Tactic.liftMetaTactic tactic = Lean.Elab.Tactic.liftMetaTacticAux fun mvarId => do let gs ← tactic mvarId pure ((), gs)

@[inline]

def Lean.Elab.Tactic.liftMetaTactic1 (tactic : Lean.MVarId → Lean.MetaM (Option Lean.MVarId)) : Lean.Elab.Tactic.TacticM Unit

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def Lean.Elab.Tactic.tryTactic? {α : Type} (tactic : Lean.Elab.Tactic.TacticM α) : Lean.Elab.Tactic.TacticM (Option α)

Equations

• Lean.Elab.Tactic.tryTactic? tactic = tryCatch (do let a ← tactic pure (some a)) fun x => pure none

def Lean.Elab.Tactic.tryTactic {α : Type} (tactic : Lean.Elab.Tactic.TacticM α) : Lean.Elab.Tactic.TacticM Bool

Equations

• Lean.Elab.Tactic.tryTactic tactic = tryCatch (do discard tactic pure true) fun x => pure false

def Lean.Elab.Tactic.tagUntaggedGoals (parentTag : Lean.Name) (newSuffix : Lean.Name) (newGoals : List Lean.MVarId) : Lean.Elab.Tactic.TacticM Unit

Use parentTag to tag untagged goals at newGoals. If there are multiple new untagged goals, they are named using ._ where idx > 0. If there is only one new untagged goal, then we just use parentTag

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def Lean.Elab.Tactic.getNameOfIdent' (id : Lean.Syntax) : Lean.Name

Equations

• Lean.Elab.Tactic.getNameOfIdent' id = if Lean.Syntax.isIdent id = true then Lean.Syntax.getId id else Lean.Name.mkStr1 "_"

def Lean.Elab.Tactic.withCaseRef {m : Type → Type} {α : Type} [inst : Monad m] [inst : Lean.MonadRef m] (arrow : Lean.Syntax) (body : Lean.Syntax) (x : m α) : m α

Use position of => $body for error messages. If there is a line break before body, the message will be displayed on => only, but the "full range" for the info view will still include body.

Equations

• Lean.Elab.Tactic.withCaseRef arrow body x = Lean.withRef (Lean.mkNullNode #[arrow, body]) x