Theorem: LO.FirstOrder.Arith.Model.mem_cup_iff (Arithmetization/ISigmaOne/HFS/Basic.lean)

State before:
M : Type u_1
inst✝⁵ : Zero M
inst✝⁴ : One M
inst✝³ : Add M
inst✝² : Mul M
inst✝¹ : LT M
inst✝ : M ⊧ₘ* 𝐈𝚺₁
a b c : M
⊢ a ∈ b ∪ c ↔ a ∈ b ∨ a ∈ c
Tactic:
simp [Union.union, union]
State after:
no goals