Theorems · Theorem · ring theory

Subalgebra.pointwise_smul_toSubsemiring

∀ {R : Type u_1} {A : Type u_2} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A] {R' : Type u_3}
  [inst_3 : Semiring R'] [inst_4 : MulSemiringAction R' A] [inst_5 : SMulCommClass R' R A] (m : R')
  (S : Subalgebra R A), (m • S).toSubsemiring = m • S.toSubsemiring

Defined in

Mathlib.Algebra.Algebra.Subalgebra.Pointwise

Cited by

0 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringSemiringAlgebraSemiringMulSemiringActionSMulCommClass