ext
G : Type u_1
inst✝ : Group G
g : G
_h : ¬IsOfFinOrder g
⊢ ↑(Subgroup.zpowers g) = {x | ∃ i, g ^ i = x}
case h
G : Type u_1
inst✝ : Group G
g : G
_h : ¬IsOfFinOrder g
x✝ : G
⊢ x✝ ∈ ↑(Subgroup.zpowers g) ↔ x✝ ∈ {x | ∃ i, g ^ i = x}