KernelEquality
Transform a SFinKer equality into an equivalent equality of kernels, along with a proof of
equivalence.
Code
def KernelEquality (eq : Expr) : MetaM (Expr Γ Expr) := do
let eq β whnfR <| β instantiateMVars eq
let some (_, lhs_hom, rhs_hom) := eq.eq? | throwError "Expected an equality, got: {eq}."
let (lhs, proofs) β transformHomToKernel lhs_hom []
let (rhs, proofs) β transformHomToKernel rhs_hom proofs
let kernel_expr β mkEq lhs rhs
let (unlifted_expr, unlifted_proof) β unliftEquality kernel_expr
let kernel_eq_proof_type β mkEq kernel_expr eq
let kernel_eq_proof β mkAppM ``Eq.symm #[β mkKernelHomEqProof kernel_eq_proof_type lhs rhs proofs]
return (unlifted_expr, β mkEqTrans kernel_eq_proof unlifted_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: 15 project declarations, 171 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.