`constructProof`🔗

Definition

Constructs a proof of equality between the original and transformed expressions using the provided proofs and finisher functions.

def

constructProof (eqProofType lhs rhs lhs_t rhs_t : Lean.Expr)
  (maxLvl : Lean.Level) (proofs : List Lean.Expr)
  (finisher_ref : IO.Ref (Array finisherMetadata)) :
  Lean.MetaM Lean.Expr
constructProof
  (eqProofType lhs rhs lhs_t rhs_t :
    Lean.Expr)
  (maxLvl : Lean.Level)
  (proofs : List Lean.Expr)
  (finisher_ref :
    IO.Ref (Array finisherMetadata)) :
  Lean.MetaM Lean.Expr

Code

def constructProof (eqProofType lhs rhs lhs_t rhs_t : Expr) (maxLvl : Level) (proofs : List Expr)
    (finisher_ref : IO.Ref (Array finisherMetadata)) : MetaM Expr := do
  let mvar ← mkFreshExprSyntheticOpaqueMVar eqProofType
  let mvarId := mvar.mvarId!
  let propext := mkConst ``propext
  match ← mvarId.apply propext with
  | [mvarId] =>
    let proofs := proofs.reverse
    let mut mvarId := mvarId
    for proof in proofs do
      mvarId ← mvarId.nthRewrite 1 proof
    let handlers ← finisher_ref.get
    let e ← handlers.firstM (fun h => do
      let finisher ← h lhs rhs lhs_t rhs_t maxLvl
      unless ← isDefEq (← mvarId.getType) (← inferType finisher) do
        throwError "Type mismatch: expected {← mvarId.getType}, got {← inferType finisher}."
      mvarId.assign finisher
      instantiateMVars mvar
    ) <|> do
      throwError m!"No finisher found for {eqProofType}."
    return e
  | _ =>
    throwError "Failed to apply propext while building kernel_lift equivalence proof for
      {eqProofType}."

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: 2 project declarations, 110 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.

constructProof🔗

`constructProof`🔗