Theorems · Theorem · ring theory

Subsemiring.smul_closure

∀ {M : Type u_1} {R : Type u_2} [inst : Monoid M] [inst_1 : Semiring R] [inst_2 : MulSemiringAction M R] (a : M)
  (s : Set R), a • Subsemiring.closure s = Subsemiring.closure (a • s)

Defined in

Mathlib.Algebra.Ring.Subsemiring.Pointwise

Cited by

0 results in Mathlib

Foundations

Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MonoidSemiringMulSemiringAction