Theorems · Definition · category theory
HopfAlgCat.ofHom
{R : Type u} →
[inst : CommRing R] →
{X Y : Type v} →
[inst_1 : Ring X] →
[inst_2 : Ring Y] →
[inst_3 : HopfAlgebra R X] →
[inst_4 : HopfAlgebra R Y] → (X →ₐc[R] Y) → (HopfAlgCat.of R X ⟶ HopfAlgCat.of R Y)Typecheck a BialgHom as a morphism in HopfAlgCat R.
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 75 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Ringstatement and proof · cited by 7,463
- BialgHomstatement and proof · cited by 190
- HopfAlgebrastatement and proof · cited by 59
- HopfAlgCatstatement · cited by 31
- CategoryTheory.ConcreteCategory.ofHomproof · cited by 18
- HopfAlgCat.ofstatement · cited by 13
Cited by6
Results whose statement or proof uses this declaration.
- BialgEquiv.toHopfAlgIsoproof · cited by 8
- HopfAlgCat.tensorHom_defstatement · cited by 0
- HopfAlgCat.whiskerLeft_defstatement · cited by 0
- HopfAlgCat.whiskerRight_defstatement · cited by 0
- BialgEquiv.toHopfAlgIso_homstatement · cited by 0
- BialgEquiv.toHopfAlgIso_invstatement · cited by 0