Lean 4 fork for HoTT-compatible kernel extensions (Path types, transport, HITs). Maintained against upstream leanprover/lean4.
f7f5fc5ecd
This PR adds a `Lean.Grind.PowIdentity` typeclass stating that `x ^ p =
x` for all elements of a commutative semiring, with `p` as an
`outParam`.
The primary source of instances is Fermat's little theorem: for a finite
field with `q` elements, `x ^ q = x`. Since `p` is an `outParam`,
instance synthesis discovers the correct exponent automatically — the
solver does not need to know the characteristic or cardinality in
advance.
A concrete instance for `Fin 2` is provided. Mathlib can provide
instances for general finite fields via `FiniteField.pow_card`.
🤖 Prepared with Claude Code
Co-authored-by: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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