no goals
α : Type u_1
β : Type ?u.188656
inst✝¹ : LinearOrder α
inst✝ : LinearOrder β
f : α → β
a a₁ a₂ b b₁ b₂ c d : α
h : b₁ < b₂
x : α
⊢ x ∈ Ioc a₁ b₁ ∩ Ioo a₂ b₂ ↔ x ∈ Ioc (max a₁ a₂) b₁
simp [and_assoc, @and_left_comm (x ≤ _), and_iff_left_iff_imp.2 fun h' => lt_of_le_of_lt h' h]