Theorems · Theorem · ring theory
NonUnitalStarAlgHom.prod_fst_snd
∀ {R : Type u_1} {A : Type u_2} {B : Type u_3} [inst : Monoid R] [inst_1 : NonUnitalNonAssocSemiring A]
[inst_2 : DistribMulAction R A] [inst_3 : Star A] [inst_4 : NonUnitalNonAssocSemiring B]
[inst_5 : DistribMulAction R B] [inst_6 : Star B],
(NonUnitalStarAlgHom.fst R A B).prod (NonUnitalStarAlgHom.snd R A B) = 1- Defined in
- Mathlib.Algebra.Star.StarAlgHom
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Monoidstatement and proof · cited by 3,887
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- DistribMulActionstatement and proof · cited by 584
- Starstatement and proof · cited by 496
- NonUnitalStarAlgHomstatement · cited by 208
- DFunLike.coe_injectiveproof · cited by 161
- NonUnitalStarAlgHom.prodstatement and proof · cited by 6
- NonUnitalStarAlgHom.sndstatement and proof · cited by 5
- NonUnitalStarAlgHom.fststatement and proof · cited by 5
- Function.prod_fst_sndproof · cited by 4
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