This module contains helpers useful to prove unfolding and/or equational theorems.

def Lean.Elab.Eqns.simpMatch? (mvarId : MVarId) : MetaM (Option MVarId)

Equations

• Lean.Elab.Eqns.simpMatch? mvarId = do let mvarId' ← Lean.Meta.Split.simpMatchTarget mvarId if (mvarId != mvarId') = true then pure (some mvarId') else pure none

def Lean.Elab.Eqns.simpIf? (mvarId : MVarId) (useNewSemantics : Bool := false) : MetaM (Option MVarId)

Simplify if-then-expressions in the goal target. If useNewSemantics is true, the flag backward.split is ignored.

Equations

• Lean.Elab.Eqns.simpIf? mvarId useNewSemantics = do let mvarId' ← Lean.Meta.simpIfTarget mvarId true useNewSemantics if (mvarId != mvarId') = true then pure (some mvarId') else pure none

def Lean.Elab.Eqns.tryURefl (mvarId : MVarId) : MetaM Bool

Try to close goal using rfl with smart unfolding turned off.

Equations

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

def Lean.Elab.Eqns.deltaLHS (mvarId : MVarId) : MetaM MVarId

Delta reduce the equation left-hand-side

Equations

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

def Lean.Elab.Eqns.tryContradiction (mvarId : MVarId) : MetaM Bool

Equations

• Lean.Elab.Eqns.tryContradiction mvarId = mvarId.contradictionCore { genDiseq := true }

def Lean.Elab.Eqns.whnfReducibleLHS? (mvarId : MVarId) : MetaM (Option MVarId)

Apply whnfR to lhs, return none if lhs was not modified

Equations

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