Theorems · Theorem · commutative algebra

PowerSeries.substAlgHom_comp_substAlgHom_apply

∀ {R : Type u_2} [inst : CommRing R] {S : Type u_4} [inst_1 : CommRing S] {υ : Type u_5} {T : Type u_6}
  [inst_2 : CommRing T] [inst_3 : Algebra R S] [inst_4 : Algebra R T] [inst_5 : Algebra S T] {a : PowerSeries S}
  {b : MvPowerSeries υ T} [IsScalarTower R S T] (ha : PowerSeries.HasSubst a) (hb : PowerSeries.HasSubst b)
  (f : PowerSeries R), (PowerSeries.substAlgHom hb) ((PowerSeries.substAlgHom ha) f) = (PowerSeries.substAlgHom ⋯) f

Defined in

Mathlib.RingTheory.PowerSeries.Substitution

Cited by

0 results in Mathlib

Foundations

Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingCommRingCommRingAlgebraAlgebraAlgebraIsScalarTower