Theorems · Theorem · commutative algebra

HahnModule.smul_add

∀ {Γ : Type u_1} {Γ' : Type u_2} {R : Type u_3} {V : Type u_5} [inst : PartialOrder Γ] [inst_1 : PartialOrder Γ']
  [inst_2 : VAdd Γ Γ'] [inst_3 : IsOrderedCancelVAdd Γ Γ'] [inst_4 : AddCommMonoid V] [inst_5 : Zero R]
  [inst_6 : DistribSMul R V] (x : HahnSeries Γ R) (y z : HahnModule Γ' R V), x • (y + z) = x • y + x • z

Defined in

Mathlib.RingTheory.HahnSeries.Multiplication

Cited by

0 results in Mathlib

Foundations

Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PartialOrderPartialOrderVAddIsOrderedCancelVAddAddCommMonoidZeroDistribSMul