Theorems · Theorem · commutative algebra

LocalizedModule.mk_cancel_common_left

∀ {R : Type u} [inst : CommSemiring R] {S : Submonoid R} {M : Type v} [inst_1 : AddCommMonoid M] [inst_2 : Module R M]
  (s' s : ↥S) (m : M), LocalizedModule.mk (s' • m) (s' * s) = LocalizedModule.mk m s

Defined in

Mathlib.Algebra.Module.LocalizedModule.Basic

Cited by

2 results in Mathlib

Foundations

Depth 25 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringAddCommMonoidModule