Lean 4 fork for HoTT-compatible kernel extensions (Path types, transport, HITs). Maintained against upstream leanprover/lean4.
70df9742f4
This PR fixes a kernel error in `grind` when propagating a `Nat`
equality to an order structure whose carrier type is not `Int` (e.g.
`Rat`). The auxiliary `Lean.Grind.Order.of_nat_eq` lemma was specialized
to `Int`, so the kernel rejected the application when the cast
destination differed.
We add a polymorphic `of_natCast_eq` lemma over `{α : Type u} [NatCast
α]` and cache the cast destination type in `TermMapEntry`.
`processNewEq` now uses the original `of_nat_eq` when the destination is
`Int` (the common case) and the new lemma otherwise. The symmetric
`nat_eq` propagation (deriving `Nat` equality from a derived cast
equality) is now guarded to fire only when the destination is `Int`,
since the `nat_eq` lemma is still specialized to `Int`.
Closes #13265.
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