Theorems · Definition · ring theory
BialgHom.id
(R : Type u_1) →
(A : Type u_2) →
[inst : CommSemiring R] →
[inst_1 : Semiring A] → [inst_2 : Algebra R A] → [inst_3 : CoalgebraStruct R A] → A →ₐc[R] AIdentity map as a BialgHom.
- Defined in
- Mathlib.RingTheory.Bialgebra.Hom
- Cited by
- 22 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- AlgHomproof · cited by 3,236
- CoalgebraStructstatement and proof · cited by 230
- AlgHom.idproof · cited by 196
- BialgHomstatement · cited by 190
- CoalgHomproof · cited by 105
- CoalgHom.idproof · cited by 11
Cited by26
Results whose statement or proof uses this declaration.
- BialgEquiv.reflproof · cited by 7
- BialgHom.id_applystatement and proof · cited by 3
- BialgHom.lTensorproof · cited by 2
- BialgHom.rTensorproof · cited by 2
- BialgEquiv.ofBialgHomstatement and proof · cited by 2
- AddMonoidAlgebra.mapDomainBialgHom_idstatement · cited by 1
- BialgEquiv.coe_ofBialgHomstatement and proof · cited by 0
- BialgHom.id_compstatement · cited by 0
- BialgHom.id_toAlgHomstatement · cited by 0
- BialgHom.id_toCoalgHomstatement · cited by 0
- Bialgebra.counitBialgHom_selfstatement · cited by 0
- CommBialgCat.ofHom_idstatement · cited by 0