Theorems · Definition · ring theory
Bialgebra.mulCoalgHom
(R : Type u_1) →
(A : Type u_2) →
[inst : CommSemiring R] → [inst_1 : Semiring A] → [inst_2 : Bialgebra R A] → TensorProduct R A A →ₗc[R] AMultiplication on a bialgebra as a coalgebra hom.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, 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.
- RingHom.idproof · cited by 18,349
- Semiringstatement and proof · cited by 13,802
- CommSemiringstatement and proof · cited by 10,911
- LinearMapproof · cited by 10,215
- TensorProductstatement and proof · cited by 2,545
- Bialgebrastatement and proof · cited by 160
- CoalgHomstatement · cited by 105
- LinearMap.mul'proof · cited by 47
Cited by5
Results whose statement or proof uses this declaration.
- Bialgebra.mulBialgHomproof · cited by 6
- Coalgebra.Repr.mulproof · cited by 4
- Bialgebra.toLinearMap_mulCoalgHomstatement · cited by 0
- Bialgebra.coe_mulCoalgHomstatement · cited by 0
- Bialgebra.toCoalgHom_mulBialgHomstatement · cited by 0