case h
F : Type ?u.70752
ι : Type ?u.70755
α : Type ?u.70758
β : Type ?u.70761
K : Type u_1
inst✝ : LinearOrderedField K
a b x : ℚ
⊢ x ∈ Rat.cast ⁻¹' Ico ↑a ↑b ↔ x ∈ Ico a b
F : Type ?u.70752
ι : Type ?u.70755
α : Type ?u.70758
β : Type ?u.70761
K : Type u_1
inst✝ : LinearOrderedField K
a b : ℚ
⊢ Rat.cast ⁻¹' Ico ↑a ↑b = Ico a b
ext x
no goals
case h
F : Type ?u.70752
ι : Type ?u.70755
α : Type ?u.70758
β : Type ?u.70761
K : Type u_1
inst✝ : LinearOrderedField K
a b x : ℚ
⊢ x ∈ Rat.cast ⁻¹' Ico ↑a ↑b ↔ x ∈ Ico a b
simp