Theorems · Theorem · ring theory
NonUnitalStarSubalgebra.coe_prod
∀ {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) = ↑S ×ˢ ↑S₁- Defined in
- Mathlib.Algebra.Star.NonUnitalSubalgebra
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- 0 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
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- Setstatement · cited by 53,352
- Modulestatement and proof · cited by 20,661
- CommSemiringstatement and proof · cited by 10,911
- SetLike.coestatement · cited by 8,199
- SProd.sprodstatement · cited by 1,750
- StarRingstatement and proof · cited by 1,686
- NonUnitalSemiringstatement and proof · cited by 339
- NonUnitalStarSubalgebrastatement and proof · cited by 196
- NonUnitalStarSubalgebra.prodstatement · cited by 7
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