Theorem: MvPowerSeries.constantCoeff_subst (DividedPowers/ForMathlib/MvPowerSeries/Substitutions.lean)

State before:
σ : Type u_1
inst✝⁸ : DecidableEq σ
A : Type u_2
inst✝⁷ : CommSemiring A
R : Type u_3
inst✝⁶ : CommRing R
inst✝⁵ : Algebra A R
τ : Type u_4
inst✝⁴ : DecidableEq τ
S : Type u_5
inst✝³ : CommRing S
inst✝² : Algebra A S
inst✝¹ : Algebra R S
inst✝ : IsScalarTower A R S
a : σ → MvPowerSeries τ S
ha : SubstDomain a
f : MvPowerSeries σ R
⊢ (constantCoeff τ S) (subst a f) = ∑ᶠ (d : σ →₀ ℕ), (coeff R d) f • (constantCoeff τ S) (d.prod fun s e => a s ^ e)
Tactic:
simp only [← coeff_zero_eq_constantCoeff_apply, coeff_subst ha f 0]
State after:
no goals