no goals
α : Type u_1
β : Type ?u.204029
inst✝¹ : LinearOrder α
inst✝ : LinearOrder β
f : α → β
a a₁ a₂ b b₁ b₂ c d : α
⊢ Ioc a b ∩ Ioi c = Ioc (a ⊔ c) b
rw [← Ioi_inter_Iic, inter_assoc, inter_comm, inter_assoc, Ioi_inter_Ioi, inter_comm,
  Ioi_inter_Iic, sup_comm]