Theorems · Definition · ring theory
Bialgebra.mulBialgHom
(R : Type u_1) →
(A : Type u_2) →
[inst : CommSemiring R] → [inst_1 : CommSemiring A] → [inst_2 : Bialgebra R A] → TensorProduct R A A →ₐc[R] AMultiplication on a commutative bialgebra as a bialgebra hom.
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 81 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.
- CommSemiringstatement and proof · cited by 10,911
- AlgHomproof · cited by 3,236
- TensorProductstatement and proof · cited by 2,545
- BialgHomstatement · cited by 190
- Bialgebrastatement and proof · cited by 160
- CoalgHomproof · cited by 105
- Algebra.TensorProduct.lmul'proof · cited by 28
- Bialgebra.mulCoalgHomproof · cited by 3
Cited by6
Results whose statement or proof uses this declaration.
- MonoidAlgebra.convMul_bialgHom_single_oneproof · cited by 1
- AddMonoidAlgebra.convMul_bialgHom_single_oneproof · cited by 1
- Bialgebra.coe_mulBialgHomstatement · cited by 0
- Bialgebra.mulBialgHom_toAlgHomstatement · cited by 0
- BialgHom.convMul_defstatement · cited by 0
- Bialgebra.toCoalgHom_mulBialgHomstatement and proof · cited by 0