Theorems · Definition · category theory
CommHopfAlgCat.ofHom
{R : Type u} →
[inst : CommRing R] →
{X Y : Type v} →
{x : CommRing X} →
{x_1 : CommRing Y} →
{x_2 : HopfAlgebra R X} →
{x_3 : HopfAlgebra R Y} →
(X →ₐc[R] Y) →
({ X := X, commRing := x, hopfAlgebra := x_2 } ⟶ { X := Y, commRing := x_1, hopfAlgebra := x_3 })Typecheck a BialgHom as a morphism in CommHopfAlgCat R.
- Defined in
- Mathlib.Algebra.Category.CommHopfAlgCat
- Cited by
- 11 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.
- Quiver.Homstatement · cited by 32,603
- CommRingstatement and proof · cited by 17,173
- BialgHomstatement and proof · cited by 190
- HopfAlgebrastatement and proof · cited by 59
- CommHopfAlgCatstatement · cited by 38
- CategoryTheory.ConcreteCategory.ofHomproof · cited by 18
Cited by13
Results whose statement or proof uses this declaration.
- commHopfAlgCatEquivCogrpCommAlgCatproof · cited by 6
- CommHopfAlgCat.isoMkproof · cited by 3
- CommHopfAlgCat.ofHom_homstatement · cited by 0
- CommHopfAlgCat.ofHom_idstatement · cited by 0
- commHopfAlgCatEquivCogrpCommAlgCat_counitIso_hom_appstatement · cited by 0
- commHopfAlgCatEquivCogrpCommAlgCat_counitIso_inv_appstatement · cited by 0
- CommHopfAlgCat.hom_ofHomstatement · cited by 0
- commHopfAlgCatEquivCogrpCommAlgCat_unitIso_hom_appstatement · cited by 0
- commHopfAlgCatEquivCogrpCommAlgCat_unitIso_inv_appstatement · cited by 0
- CommHopfAlgCat.isoMk_homstatement · cited by 0
- CommHopfAlgCat.isoMk_invstatement · cited by 0
- CommHopfAlgCat.ofHom_applystatement · cited by 0