no goals
M : Type u_2
inst✝² : CommMonoid M
S : Submonoid M
N : Type u_3
inst✝¹ : CommMonoid N
P : Type u_1
inst✝ : CommMonoid P
f : LocalizationMap S N
g : M →* P
hg : ∀ (y : { x // x ∈ S }), IsUnit (↑g ↑y)
z : N
⊢ ↑g ↑(sec f z).snd * ↑(lift f hg) z = ↑g (sec f z).fst
rw [mul_comm, lift_mul_right]