no goals
M : Type u_2
N : Type ?u.29826
A : Type ?u.29829
inst✝¹ : MulOneClass M
s : Set M
inst✝ : AddZeroClass A
t : Set A
S : Submonoid M
ι : Sort u_1
p : ι → Submonoid M
⊢ (⨆ (i : ι), p i) = closure (⋃ (i : ι), ↑(p i))
simp_rw [Submonoid.closure_iUnion, Submonoid.closure_eq]