Theorems · Theorem · commutative algebra

MvPowerSeries.substAlgHom_comp_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} {υ : Type u_7} {T : Type u_8} [inst_3 : CommRing T]
  [inst_4 : Algebra R T] [inst_5 : Algebra S T] [inst_6 : IsScalarTower R S T] {b : τ → MvPowerSeries υ T}
  (ha : MvPowerSeries.HasSubst a) (hb : MvPowerSeries.HasSubst b),
  (AlgHom.restrictScalars R (MvPowerSeries.substAlgHom hb)).comp (MvPowerSeries.substAlgHom ha) =
    MvPowerSeries.substAlgHom ⋯

Defined in

Mathlib.RingTheory.MvPowerSeries.Substitution

Cited by

3 results in Mathlib

Foundations

Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingAlgebraCommRingAlgebraAlgebraIsScalarTower