Theorems · Theorem · commutative algebra

HahnSeries.map_mul

∀ {Γ : Type u_1} {R : Type u_3} {S : Type u_4} [inst : AddCommMonoid Γ] [inst_1 : PartialOrder Γ]
  [inst_2 : IsOrderedCancelAddMonoid Γ] [inst_3 : NonUnitalNonAssocSemiring R] [inst_4 : NonUnitalNonAssocSemiring S]
  (f : R →ₙ+* S) {x y : HahnSeries Γ R}, (x * y).map f = x.map f * y.map f

Defined in

Mathlib.RingTheory.HahnSeries.Multiplication

Cited by

0 results in Mathlib

Foundations

Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommMonoidPartialOrderIsOrderedCancelAddMonoidNonUnitalNonAssocSemiringNonUnitalNonAssocSemiring