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Use a direct N-way unzip instead of induction over product size

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This makes a finite-height proof for any `Fin n -> a` lattice
immediate, and precludes the need for IterProd and Prod altogether.

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
This commit is contained in:
Danila Fedorin
2026-06-26 11:54:34 -05:00
parent c281d78d1d
commit a5f533d67a
5 changed files with 155 additions and 215 deletions
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4
lean/Spa/Lattice/Unit.lean
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@@ -5,9 +5,7 @@ import Spa.Lattice
# Unit Lattice
This file provides a proof that in addition to being a lattice,
`PUnit` is a `Spa.FiniteHeightLattice`. This is fairly trivial result,
but the unit is used as a placeholder in various contexts (e.g.,
as a base case for the iterated product `Spa/Lattice/IterProd.lean`). -/
`PUnit` is a `Spa.FiniteHeightLattice`. This is a fairly trivial result. -/
namespace Spa