Theorems · Theorem · ring theory

OreLocalization.smul_add

∀ {R : Type u_1} [inst : Monoid R] {S : Submonoid R} [inst_1 : OreLocalization.OreSet S] {X : Type u_2}
  [inst_2 : AddMonoid X] [inst_3 : DistribMulAction R X] (z : OreLocalization S R) (x y : OreLocalization S X),
  z • (x + y) = z • x + z • y

Defined in

Mathlib.RingTheory.OreLocalization.Basic

Cited by

1 results in Mathlib

Foundations

Depth 32 from the axioms · uses propext, Quot.sound

Assumes

MonoidOreLocalization.OreSetAddMonoidDistribMulAction