Additional utilities in Lean.MVarId

def Lean.MVarId.let (g : Lean.MVarId) (h : Lean.Name) (v : Lean.Expr) (t : optParam (Option Lean.Expr) none) : Lean.MetaM (Lean.FVarId × Lean.MVarId)

Add the hypothesis h : t, given v : t, and return the new FVarId.

Equations

• Lean.MVarId.let g h v t = do let __do_lift ← Option.getDM t (Lean.Meta.inferType v) let __do_lift ← Lean.MVarId.define g h __do_lift v Lean.MVarId.intro1P __do_lift

def Lean.MVarId.existsi (mvar : Lean.MVarId) (es : List Lean.Expr) : Lean.MetaM Lean.MVarId

Has the effect of refine ⟨e₁,e₂,⋯, ?_⟩.

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def Lean.MVarId.intros! (mvarId : Lean.MVarId) : Lean.MetaM (Array Lean.FVarId × Lean.MVarId)

Applies intro repeatedly until it fails. We use this instead of Lean.MVarId.intros to allowing unfolding. For example, if we want to do introductions for propositions like ¬p, the ¬ needs to be unfolded into → False, and intros does not do such unfolding.

Equations

• Lean.MVarId.intros! mvarId = Lean.MVarId.intros!.run mvarId #[] mvarId

partial def Lean.MVarId.intros!.run (mvarId : Lean.MVarId) (acc : Array Lean.FVarId) (g : Lean.MVarId) : Lean.MetaM (Array Lean.FVarId × Lean.MVarId)

Implementation of intros!.

def Lean.MVarId.iffOfEq (mvarId : Lean.MVarId) : Lean.MetaM Lean.MVarId

Try to convert an Iff into an Eq by applying iff_of_eq. If successful, returns the new goal, and otherwise returns the original MVarId.

This may be regarded as being a special case of Lean.MVarId.liftReflToEq, specifically for Iff.

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def Lean.MVarId.propext (mvarId : Lean.MVarId) : Lean.MetaM Lean.MVarId

Try to convert an Eq into an Iff by applying propext. If successful, then returns then new goal, otherwise returns the original MVarId.

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def Lean.MVarId.proofIrrelHeq (mvarId : Lean.MVarId) : Lean.MetaM Bool

Try to close the goal with using proof_irrel_heq. Returns whether or not it succeeds.

We need to be somewhat careful not to assign metavariables while doing this, otherwise we might specialize Sort _ to Prop.

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def Lean.MVarId.subsingletonElim (mvarId : Lean.MVarId) : Lean.MetaM Bool

Try to close the goal using Subsingleton.elim. Returns whether or not it succeeds.

We are careful to apply Subsingleton.elim in a way that does not assign any metavariables. This is to prevent the Subsingleton Prop instance from being used as justification to specialize Sort _ to Prop.

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def Lean.Meta.countLocalHypsUsed {m : Type → Type} [Monad m] [Lean.MonadLCtx m] [Lean.MonadMCtx m] (e : Lean.Expr) : m Nat

Count how many local hypotheses appear in an expression.

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def Lean.Meta.mapForallTelescope' (F : Lean.Expr → Lean.Expr → Lean.MetaM Lean.Expr) (forallTerm : Lean.Expr) : Lean.MetaM Lean.Expr

Given a monadic function F that takes a type and a term of that type and produces a new term, lifts this to the monadic function that opens a ∀ telescope, applies F to the body, and then builds the lambda telescope term for the new term.

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def Lean.Meta.mapForallTelescope (F : Lean.Expr → Lean.MetaM Lean.Expr) (forallTerm : Lean.Expr) : Lean.MetaM Lean.Expr

Given a monadic function F that takes a term and produces a new term, lifts this to the monadic function that opens a ∀ telescope, applies F to the body, and then builds the lambda telescope term for the new term.

Equations

• Lean.Meta.mapForallTelescope F forallTerm = Lean.Meta.mapForallTelescope' (fun (x e : Lean.Expr) => F e) forallTerm

def Lean.MVarId.getType'' (mvarId : Lean.MVarId) : Lean.MetaM Lean.Expr

Get the type the given metavariable after instantiating metavariables and cleaning up annotations.

Equations

• Lean.MVarId.getType'' mvarId = do let __do_lift ← Lean.MVarId.getType mvarId let __do_lift ← Lean.instantiateMVars __do_lift pure (Lean.Expr.cleanupAnnotations __do_lift)

def Lean.Elab.Tactic.liftMetaTactic' (tac : Lean.MVarId → Lean.MetaM Lean.MVarId) : Lean.Elab.Tactic.TacticM Unit

Analogue of liftMetaTactic for tactics that return a single goal.

Equations

• Lean.Elab.Tactic.liftMetaTactic' tac = Lean.Elab.Tactic.liftMetaTactic fun (g : Lean.MVarId) => do let __do_lift ← tac g pure [__do_lift]

def Lean.Elab.Tactic.run_for {α : Type} (mvarId : Lean.MVarId) (x : Lean.Elab.Tactic.TacticM α) : Lean.Elab.TermElabM (Option α × List Lean.MVarId)

Copy of Lean.Elab.Tactic.run that can return a value.

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