Theorems · Theorem · ring theory

NonUnitalStarSubalgebra.prod_mono

∀ {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 T : NonUnitalStarSubalgebra R A} {S₁ T₁ : NonUnitalStarSubalgebra R B}, S ≤ T → S₁ ≤ T₁ → S.prod S₁ ≤ T.prod T₁

Defined in

Mathlib.Algebra.Star.NonUnitalSubalgebra

Cited by

0 results in Mathlib

Foundations

Depth 24 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringNonUnitalSemiringStarRingModuleNonUnitalSemiringStarRingModule