Theorems · Definition · commutative algebra

MvPowerSeries.subst

{σ : Type u_1} →
  {R : Type u_3} →
    [inst : CommRing R] →
      {τ : Type u_4} →
        {S : Type u_5} →
          [inst_1 : CommRing S] → [Algebra R S] → (σ → MvPowerSeries τ S) → MvPowerSeries σ R → MvPowerSeries τ S

Substitution of power series into a power series It coincides with evaluation when f is a polynomial, or under HasSubst a. Otherwise, it is given the dummy value 0.

Defined in

Mathlib.RingTheory.MvPowerSeries.Substitution

Cited by

73 results in Mathlib

Foundations

Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingAlgebra