Theorems · Theorem · commutative algebra

HahnSeries.map_smul

∀ {Γ : Type u_1} {R : Type u_3} {U : Type u_5} {V : Type u_6} [inst : PartialOrder Γ] [inst_1 : Semiring R]
  [inst_2 : AddCommMonoid V] [inst_3 : Module R V] [inst_4 : AddCommMonoid U] [inst_5 : Module R U] (f : U →ₗ[R] V)
  {r : R} {x : HahnSeries Γ U}, (r • x).map f = r • x.map f

Defined in

Mathlib.RingTheory.HahnSeries.Addition

Cited by

0 results in Mathlib

Foundations

Depth 22 from the axioms · uses propext, Quot.sound

Assumes

PartialOrderSemiringAddCommMonoidModuleAddCommMonoidModule