Theorem: LO.FirstOrder.Arith.Model.mod_two_not_one_iff (Arithmetization/Basic/IOpen.lean)

State before:
M : Type u_1
inst✝⁶ : Zero M
inst✝⁵ : One M
inst✝⁴ : Add M
inst✝³ : Mul M
inst✝² : LT M
inst✝¹ : M ⊧ₘ* 𝐏𝐀⁻
inst✝ : M ⊧ₘ* 𝐈open
a : M
⊢ ¬a % 2 = 1 ↔ a % 2 = 0
Tactic:
rcases mod_two a with (h | h) <;> simp [*]
State after:
no goals