[GOAL]
ι : Type u_1
G : Type u_2
inst✝³ : Group G
inst✝² : ConditionallyCompleteLattice G
inst✝¹ : CovariantClass G G (swap fun x x_1 => x * x_1) fun x x_1 => x ≤ x_1
inst✝ : Nonempty ι
f : ι → G
hf : BddAbove (range f)
a : G
⊢ (⨆ (i : ι), f i) / a = ⨆ (i : ι), f i / a
[PROOFSTEP]
simp only [div_eq_mul_inv, ciSup_mul hf]
