Theorems · Theorem · ring theory
NonUnitalStarAlgHom.prodEquiv_symm_apply
∀ {R : Type u_1} {A : Type u_2} {B : Type u_3} {C : Type u_4} [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] [inst_7 : NonUnitalNonAssocSemiring C]
[inst_8 : DistribMulAction R C] [inst_9 : Star C] (f : A →⋆ₙₐ[R] B × C),
NonUnitalStarAlgHom.prodEquiv.symm f =
((NonUnitalStarAlgHom.fst R B C).comp f, (NonUnitalStarAlgHom.snd R B C).comp f)- Defined in
- Mathlib.Algebra.Star.StarAlgHom
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Quot.sound
Around this declaration
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Equivstatement · cited by 8,337
- Monoidstatement and proof · cited by 3,887
- Equiv.symmstatement and proof · cited by 3,681
- NonUnitalNonAssocSemiringstatement and proof · cited by 1,081
- DistribMulActionstatement and proof · cited by 584
- Starstatement and proof · cited by 496
- NonUnitalStarAlgHomstatement and proof · cited by 208
- NonUnitalStarAlgHom.compstatement · cited by 40
- NonUnitalStarAlgHom.sndstatement · cited by 5
- NonUnitalStarAlgHom.fststatement · cited by 5
- NonUnitalStarAlgHom.prodEquivstatement and proof · cited by 2
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