Theorems · Definition · commutative algebra

MvPowerSeries.substAlgHom

{σ : Type u_1} →
  {R : Type u_3} →
    [inst : CommRing R] →
      {τ : Type u_4} →
        {S : Type u_5} →
          [inst_1 : CommRing S] →
            [inst_2 : Algebra R S] →
              {a : σ → MvPowerSeries τ S} → MvPowerSeries.HasSubst a → MvPowerSeries σ R →ₐ[R] MvPowerSeries τ S

For HasSubst a, MvPowerSeries.subst is an algebra morphism.

Defined in

Mathlib.RingTheory.MvPowerSeries.Substitution

Cited by

24 results in Mathlib

Foundations

Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingAlgebra