def Lean.MVarId.ensureNoMVar (mvarId : MVarId) : MetaM Unit

Throws an exception if target of the given goal contains metavariables.

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def Lean.MVarId.ensureProp (mvarId : MVarId) : MetaM Unit

Throws an exception if target is not a proposition.

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def Lean.MVarId.transformTarget (mvarId : MVarId) (f : Expr → MetaM Expr) : MetaM MVarId

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def Lean.Meta.Grind.unfoldReducible (e : Expr) : MetaM Expr

Unfolds all reducible declarations occurring in e.

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

Unfolds all reducible declarations occurring in the goal's target.

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• mvarId.unfoldReducible = mvarId.transformTarget Lean.Meta.Grind.unfoldReducible

def Lean.MVarId.abstractNestedProofs (mvarId : MVarId) (mainDeclName : Name) : MetaM MVarId

Abstracts nested proofs occurring in the goal's target.

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• mvarId.abstractNestedProofs mainDeclName = mvarId.transformTarget (Lean.Meta.abstractNestedProofs mainDeclName)

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

Beta-reduces the goal's target.

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• mvarId.betaReduce = mvarId.transformTarget fun (x : Lean.Expr) => liftM (Lean.Core.betaReduce x)

def Lean.MVarId.byContra? (mvarId : MVarId) : MetaM (Option MVarId)

If the target is not False, applies byContradiction.

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

Clears auxiliary decls used to encode recursive declarations. grind eliminates them to ensure they are not accidentally used by its proof automation.

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def Lean.Meta.Grind.eraseIrrelevantMData (e : Expr) : CoreM Expr

In the grind tactic, during Expr internalization, we don't expect to find Expr.mdata. This function ensures Expr.mdata is not found during internalization. Recall that we do not internalize Expr.forallE and Expr.lam components.

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def Lean.Meta.Grind.foldProjs (e : Expr) : MetaM Expr

Converts nested Expr.projs into projection applications if possible.

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def Lean.Meta.Grind.normalizeLevels (e : Expr) : CoreM Expr

Normalizes universe levels in constants and sorts.

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