LeanMachineLearning

transformEquality🔗

Definition

Lifts or unlifts an equality expression by transforming both sides using the registered lifting/ unlifting functions. Returns the transformed equality and a proof of equality between the original and transformed expressions.

🔗def
transformEquality (getLvl : Lean.Expr → Lean.MetaM Lean.Level)
  (lift_ref : IO.Ref (Array liftMetadata))
  (finisher_ref : IO.Ref (Array finisherMetadata)) (eq : Lean.Expr) :
  Lean.MetaM (Lean.Expr × Lean.Expr)
transformEquality
  (getLvl :
    Lean.Expr → Lean.MetaM Lean.Level)
  (lift_ref : IO.Ref (Array liftMetadata))
  (finisher_ref :
    IO.Ref (Array finisherMetadata))
  (eq : Lean.Expr) :
  Lean.MetaM (Lean.Expr × Lean.Expr)

Code

def transformEquality (getLvl : Expr → MetaM Level) (lift_ref : IO.Ref (Array liftMetadata)) (finisher_ref : IO.Ref (Array finisherMetadata)) (eq : Expr) : MetaM (Expr × Expr) := do let e ← whnfR <| ← zetaReduce <| ← instantiateMVars eq let e := e.consumeMData let lvl ← getLvl eq let some (_, lhs, rhs) := e.eq? | throwError "Expected an equality, got: {e}." let (lhs_transformed, proofs) ← transformExpr lhs lvl [] lift_ref let (rhs_transformed, proofs) ← transformExpr rhs lvl proofs lift_ref let eq_transformed ← mkEq lhs_transformed rhs_transformed let eq_proof_type ← mkEq eq eq_transformed let proof ← constructProof eq_proof_type lhs rhs lhs_transformed rhs_transformed lvl proofs finisher_ref return (eq_transformed, proof)

Actions: Source · Open Issue

Meaning last changed in v4.34.0-rc2-1-g439785b (2026-08-23).

Self-contained, with its dependencies inlined and proofs replaced by sorry: download the raw file · open it in the Lean web editor.

Dependency graph

Audit surface: 5 project declarations, 122 external constants

✓ Proved: no sorry anywhere in its closure

This is the tool's own reading of one build's recorded axioms, and it is not robust against an author who wants it to pass. Checking meant to be relied on should go through Comparator, which replays the proof through the kernel from an export against an explicit list of permitted axioms.