Theorems · Definition · category theory
BialgCat.Hom.toBialgHom
{R : Type u} → [inst : CommRing R] → {X Y : BialgCat R} → X.Hom Y → X.carrier →ₐc[R] Y.carrierTurn a morphism in BialgCat back into a BialgHom.
- Defined in
- Mathlib.Algebra.Category.BialgCat.Basic
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- BialgHomstatement · cited by 190
- BialgCatstatement and proof · cited by 40
- BialgCat.carrierstatement · cited by 34
- BialgCat.Homstatement and proof · cited by 6
Cited by8
Results whose statement or proof uses this declaration.
- CategoryTheory.Iso.toBialgEquivproof · cited by 4
- BialgCat.hom_extstatement and proof · cited by 1
- BialgCat.Hom.toBialgHom_injectivestatement and proof · cited by 0
- BialgCat.toBialgHom_compstatement · cited by 0
- BialgCat.toBialgHom_idstatement · cited by 0
- BialgCat.forget₂_algebra_mapstatement · cited by 0
- BialgCat.forget₂_coalgebra_mapstatement · cited by 0
- BialgCat.hom_ext_iffstatement and proof · cited by 0