Theorems · Theorem · commutative algebra

MvPowerSeries.map_subst

∀ {σ : Type u_1} {R : Type u_3} [inst : CommRing R] {τ : Type u_4} {S : Type u_5} [inst_1 : CommRing S]
  {a : σ → MvPowerSeries τ R},
  MvPowerSeries.HasSubst a →
    ∀ {h : R →+* S} (f : MvPowerSeries σ R),
      (MvPowerSeries.map h) (MvPowerSeries.subst a f) =
        MvPowerSeries.subst (fun i => (MvPowerSeries.map h) (a i)) ((MvPowerSeries.map h) f)

Defined in

Mathlib.RingTheory.MvPowerSeries.Substitution

Cited by

2 results in Mathlib

Foundations

Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRing