Theorems · Theorem · ring theory

NonUnitalStarSubalgebra.prod_toNonUnitalSubalgebra

∀ {R : Type u} {A : Type v} {B : Type w} [inst : CommSemiring R] [inst_1 : NonUnitalSemiring A] [inst_2 : StarRing A]
  [inst_3 : Module R A] [inst_4 : NonUnitalSemiring B] [inst_5 : StarRing B] [inst_6 : Module R B]
  (S : NonUnitalStarSubalgebra R A) (S₁ : NonUnitalStarSubalgebra R B),
  (S.prod S₁).toNonUnitalSubalgebra = S.prod S₁.toNonUnitalSubalgebra

Defined in

Mathlib.Algebra.Star.NonUnitalSubalgebra

Cited by

0 results in Mathlib

Foundations

Depth 21 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringNonUnitalSemiringStarRingModuleNonUnitalSemiringStarRingModule