no goals
R : Type u
S : Type v
T : Type w
inst✝² : NonAssocSemiring R
M : Submonoid R
inst✝¹ : NonAssocSemiring S
inst✝ : NonAssocSemiring T
s : Set R
⊢ ↑(closure s) = ↑(AddSubmonoid.closure ↑(Submonoid.closure s))
simp [← Submonoid.subsemiringClosure_toAddSubmonoid, Submonoid.subsemiringClosure_eq_closure]