Theorems · Theorem · ring theory
BialgHomClass.counitAlgHom_comp
∀ {R : Type u_1} {A : Type u_2} {B : Type u_3} {F : Type u_4} [inst : CommSemiring R] [inst_1 : Semiring A]
[inst_2 : Bialgebra R A] [inst_3 : Semiring B] [inst_4 : Bialgebra R B] [inst_5 : FunLike F A B]
[inst_6 : BialgHomClass F R A B] (f : F), (Bialgebra.counitAlgHom R B).comp ↑f = Bialgebra.counitAlgHom R A- Defined in
- Mathlib.RingTheory.Bialgebra.Hom
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 42 from the axioms · uses propext, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- CommSemiringstatement and proof · cited by 10,911
- AlgHomstatement · cited by 3,236
- FunLikestatement and proof · cited by 2,560
- AlgHom.compstatement and proof · cited by 501
- Bialgebrastatement and proof · cited by 160
- Bialgebra.counitAlgHomstatement and proof · cited by 23
- AlgHom.toLinearMap_injectiveproof · cited by 17
- AlgHomClass.toAlgHomstatement and proof · cited by 14
- BialgHomClassstatement and proof · cited by 4
- CoalgHomClass.counit_compproof · cited by 3
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