HomEquality
Transform a kernel equality into an equivalent equality in SFinKer, along with a proof of
equivalence.
Code
def HomEquality (eq : Expr) : MetaM (Expr Γ Expr) := do
let eq β unfoldKernelOp eq
let (lifted_expr, lifted_proof) β liftEquality eq
let some (_, lhs, rhs) := lifted_expr.eq? | throwError "Expected an equality, got: {lifted_expr}."
let (lhs_hom, proofs) β transformKernelToHom lhs []
let (rhs_hom, proofs) β transformKernelToHom rhs proofs
let hom_expr β mkEq lhs_hom rhs_hom
let hom_eq_proof_type β mkEq lifted_expr hom_expr
let hom_eq_proof β mkKernelHomEqProof hom_eq_proof_type lhs rhs proofs
return (hom_expr, β 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: 19 project declarations, 195 external constants
β 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.