Theorems · Definition · ring theory
Bialgebra.comulBialgHom
(R : Type u_1) →
(A : Type u_2) →
[inst : CommSemiring R] →
[inst_1 : Semiring A] → [inst_2 : Bialgebra R A] → [Coalgebra.IsCocomm R A] → A →ₐc[R] TensorProduct R A AComultiplication as a bialgebra hom.
- Cited by
- 3 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.
Cites14
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
- TensorProductstatement and proof · cited by 2,545
- AlgHom.toRingHomproof · cited by 490
- BialgHomstatement · cited by 190
- Bialgebrastatement and proof · cited by 160
- RingHom.toMonoidHomproof · cited by 132
- OneHom.toFunproof · cited by 132
- MonoidHom.toOneHomproof · cited by 132
- CoalgHomproof · cited by 105
- Bialgebra.comulAlgHomproof · cited by 20
Cited by3
Results whose statement or proof uses this declaration.
- BialgHom.convMul_defstatement · cited by 0
- Bialgebra.comm_comp_comulBialgHomstatement · cited by 0
- Bialgebra.comulBialgHom.congr_simpstatement and proof · cited by 0