Theorems · Theorem · ring theory
NonUnitalStarSubalgebra.prod_top
∀ {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] [inst_7 : StarRing R]
[inst_8 : IsScalarTower R A A] [inst_9 : SMulCommClass R A A] [inst_10 : StarModule R A]
[inst_11 : IsScalarTower R B B] [inst_12 : SMulCommClass R B B] [inst_13 : StarModule R B], ⊤.prod ⊤ = ⊤- Defined in
- Mathlib.Algebra.Star.NonUnitalSubalgebra
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Modulestatement and proof · cited by 20,661
- CommSemiringstatement and proof · cited by 10,911
- Top.topstatement · cited by 9,680
- IsScalarTowerstatement and proof · cited by 3,896
- SMulCommClassstatement and proof · cited by 1,927
- StarRingstatement and proof · cited by 1,686
- StarModulestatement and proof · cited by 570
- NonUnitalSemiringstatement and proof · cited by 339
- NonUnitalStarSubalgebrastatement · cited by 196
- NonUnitalStarSubalgebra.prodstatement · cited by 7
- NonUnitalStarSubalgebra.extproof · cited by 7
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.