no goals
α : Type u_1
inst✝¹ : PartialOrder α
inst✝ : SuccOrder α
a b : α
h₁ : a < b
h₂ : ¬IsMax b
⊢ Ioo a (succ b) = insert b (Ioo a b)
simp_rw [← Iio_inter_Ioi, Iio_succ_eq_insert_of_not_isMax h₂, insert_inter_of_mem (mem_Ioi.2 h₁)]