no goals
F : Type ?u.222532
α : Type u_1
β : Type ?u.222538
inst✝¹ : LinearOrderedRing α
inst✝ : FloorRing α
z : ℤ
a : α
⊢ ⌈a⌉ = z ↔ ↑z - 1 < a ∧ a ≤ ↑z
rw [← ceil_le, ← Int.cast_one, ← Int.cast_sub, ← lt_ceil, Int.sub_one_lt_iff, le_antisymm_iff,
  and_comm]