Theorem: PowerSeries.subst_mul (DividedPowers/ForMathlib/MvPowerSeries/Substitutions.lean)

State before:
A : Type u_1
inst✝¹² : CommRing A
R : Type u_2
inst✝¹¹ : CommRing R
inst✝¹⁰ : Algebra A R
τ : Type u_3
inst✝⁹ : DecidableEq τ
S : Type u_4
inst✝⁸ : CommRing S
inst✝⁷ : Algebra A S
inst✝⁶ : Algebra R S
inst✝⁵ : IsScalarTower A R S
υ : Type u_5
inst✝⁴ : DecidableEq υ
T : Type u_6
inst✝³ : CommRing T
inst✝² : Algebra R T
inst✝¹ : Algebra S T
inst✝ : IsScalarTower R S T
a : MvPowerSeries τ S
ha : SubstDomain a
f g : R⟦X⟧
⊢ subst a (f * g) = subst a f * subst a g
Tactic:
rw [← coe_substAlgHom ha, map_mul]
State after:
no goals