Theorems · Definition · category theory
CommBialgCat.ofHom
{R : Type u} →
[inst : CommRing R] →
{X Y : Type v} →
{x : CommRing X} →
{x_1 : CommRing Y} →
{x_2 : Bialgebra R X} → {x_3 : Bialgebra R Y} → (X →ₐc[R] Y) → (CommBialgCat.of R X ⟶ CommBialgCat.of R Y)Typecheck a BialgHom as a morphism in CommBialgCat R.
- Defined in
- Mathlib.Algebra.Category.CommBialgCat
- Cited by
- 12 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement · cited by 32,603
- CommRingstatement and proof · cited by 17,173
- BialgHomstatement and proof · cited by 190
- Bialgebrastatement and proof · cited by 160
- CommBialgCatstatement · cited by 38
- CommBialgCat.ofstatement · cited by 19
- CategoryTheory.ConcreteCategory.ofHomproof · cited by 18
Cited by14
Results whose statement or proof uses this declaration.
- commBialgCatEquivComonCommAlgCatproof · cited by 9
- CommBialgCat.isoMkproof · cited by 3
- CommBialgCat.isoMk_homstatement · cited by 0
- CommBialgCat.ofHom_applystatement · cited by 0
- CommBialgCat.ofHom_compstatement · cited by 0
- CommBialgCat.ofHom_homstatement · cited by 0
- CommBialgCat.ofHom_idstatement · cited by 0
- CommBialgCat.isoMk_invstatement · cited by 0
- CommHopfAlgCat.forget₂_commBialgCat_mapstatement · cited by 0
- CommBialgCat.hom_ofHomstatement · cited by 0
- commBialgCatEquivComonCommAlgCat_counitIso_hom_appstatement · cited by 0
- commBialgCatEquivComonCommAlgCat_counitIso_inv_appstatement · cited by 0