simp only [Subgroup.closure, Subgroup.coe_sInf]
G : Type u_1
inst✝ : Group G
X : Set G
⊢ ↑(Subgroup.closure X) = {x | ∃ x_1 ∈ n125Set X, List.prod x_1 = x}
G : Type u_1
inst✝ : Group G
X : Set G
⊢ ⋂ s ∈ {K | X ⊆ ↑K}, ↑s = {x | ∃ x_1 ∈ n125Set X, List.prod x_1 = x}