no goals
R : Type ?u.2420
M : Type ?u.2423
inst✝³ : Semiring R
inst✝² : AddCommMonoid M
inst✝¹ : Module R M
G : Type u_1
inst✝ : AddCommGroup G
P : Submodule ℤ G
x✝ : FG P
S : Finset G
hS : span ℤ ↑S = P
⊢ AddSubgroup.closure ↑S = toAddSubgroup P
simpa [← span_int_eq_addSubgroup_closure] using hS
no goals
R : Type ?u.2420
M : Type ?u.2423
inst✝³ : Semiring R
inst✝² : AddCommMonoid M
inst✝¹ : Module R M
G : Type u_1
inst✝ : AddCommGroup G
P : Submodule ℤ G
x✝ : AddSubgroup.FG (toAddSubgroup P)
S : Finset G
hS : AddSubgroup.closure ↑S = toAddSubgroup P
⊢ span ℤ ↑S = P
simpa [← span_int_eq_addSubgroup_closure] using hS