LeanMachineLearning

HomEqualityToLvlπŸ”—

Definition

Same as HomEquality, but allows specifying a universe level that will be taken into account when computing the maximum universe level.

πŸ”—def
HomEqualityToLvl (eq : Lean.Expr) (Lvl : Lean.Level) :
  Lean.MetaM (Lean.Expr Γ— Lean.Expr)
HomEqualityToLvl (eq : Lean.Expr)
  (Lvl : Lean.Level) :
  Lean.MetaM (Lean.Expr Γ— Lean.Expr)

Code

def HomEqualityToLvl (eq : Expr) (Lvl : Level) : MetaM (Expr Γ— Expr) := do let eq ← unfoldKernelOp eq let (lifted_expr, lifted_proof) ← liftEqualityWithLevel Lvl eq let some (_, lhs, rhs) := lifted_expr.eq? | throwError "Expected an equality, got: {lifted_expr}." let (lhs_hom, proofs) ← transformKernelToHom lhs [] let (rhs_hom, proofs) ← transformKernelToHom rhs proofs let hom_expr ← mkEq lhs_hom rhs_hom let hom_eq_proof_type ← mkEq lifted_expr hom_expr let hom_eq_proof ← mkKernelHomEqProof hom_eq_proof_type lhs rhs proofs return (hom_expr, ← mkEqTrans lifted_proof hom_eq_proof)

Actions: Source Β· 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 Β· open it in the Lean web editor.

Dependency graph

Audit surface: 18 project declarations, 195 external constants

βœ“ 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.