Theorems · Definition · ring theory
Bialgebra.counitBialgHom
(R : Type u_1) → (A : Type u_2) → [inst : CommSemiring R] → [inst_1 : Semiring A] → [inst_2 : Bialgebra R A] → A →ₐc[R] R
The counit of a bialgebra as a BialgHom.
- Defined in
- Mathlib.RingTheory.Bialgebra.Hom
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- AlgHomproof · cited by 3,236
- BialgHomstatement · cited by 190
- Bialgebrastatement and proof · cited by 160
- CoalgHomproof · cited by 105
- Bialgebra.counitAlgHomproof · cited by 23
- Coalgebra.counitCoalgHomproof · cited by 3
Cited by6
Results whose statement or proof uses this declaration.
- Bialgebra.counitBialgHom_applystatement · cited by 0
- Bialgebra.counitBialgHom_selfstatement · cited by 0
- Bialgebra.counitBialgHom_toCoalgHomstatement · cited by 0
- BialgHom.convOne_defstatement · cited by 0
- MonoidAlgebra.bialgEquivOfSubsingletonproof · cited by 0
- AddMonoidAlgebra.bialgEquivOfSubsingletonproof · cited by 0