exact ⟨⟨x, ha, hx⟩, ⟨x, hb, hx⟩⟩
case h.mp.intro.intro.intro
G : Type u_1
inst✝ : Group G
A B : Set G
g y x : G
hx : g * x = y
ha : x ∈ A
hb : x ∈ B
⊢ y ∈ {x | ∃ x_1 ∈ A, g * x_1 = x} ∩ {x | ∃ x_1 ∈ B, g * x_1 = x}
no goals