Theorems · Theorem · commutative algebra

MvPowerSeries.substAlgHom_eq_aeval

∀ {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} [inst_3 : UniformSpace R] [inst_4 : DiscreteUniformity R]
  [inst_5 : UniformSpace S] [inst_6 : DiscreteUniformity S] (ha : MvPowerSeries.HasSubst a),
  ⇑(MvPowerSeries.substAlgHom ha) = ⇑(MvPowerSeries.aeval ⋯)

Rewrite MvPowerSeries.substAlgHom as MvPowerSeries.aeval. Its use is discouraged because it introduces a topology and might lead into awkward comparisons.

Defined in

Mathlib.RingTheory.MvPowerSeries.Substitution

Cited by

6 results in Mathlib

Foundations

Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingAlgebraUniformSpaceDiscreteUniformityUniformSpaceDiscreteUniformity