Lean 4 fork for HoTT-compatible kernel extensions (Path types, transport, HITs). Maintained against upstream leanprover/lean4.
ad2105dc94
This PR adds `prod` (multiplicative fold) for `List`, `Array`, and
`Vector`, mirroring the existing `sum` API. Includes basic simp lemmas
(`prod_nil`, `prod_cons`, `prod_append`, `prod_singleton`,
`prod_reverse`, `prod_push`, `prod_eq_foldl`), Nat-specialized lemmas
(`prod_pos_iff_forall_pos_nat`, `prod_eq_zero_iff_exists_zero_nat`,
`prod_replicate_nat`), Int-specialized lemmas (`prod_replicate_int`),
cross-type lemmas (`prod_toArray`, `prod_toList`), and `Perm.prod_nat`
with grind patterns.
The min/max pigeonhole-style bounds from the `sum` Nat/Int files are
omitted as they don't have natural multiplicative analogues.
🤖 Prepared with Claude Code
Co-authored-by: Claude Opus 4.6 (1M context) <noreply@anthropic.com>
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