Theorems · Definition · category theory
CategoryTheory.Iso.toHopfAlgEquiv
{R : Type u} → [inst : CommRing R] → {X Y : HopfAlgCat R} → (X ≅ Y) → X.carrier ≃ₐc[R] Y.carrierBuild a BialgEquiv from an isomorphism in the category
HopfAlgCat R.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Quot.sound
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- CategoryTheory.Iso.homproof · cited by 7,684
- CategoryTheory.Iso.invproof · cited by 6,514
- CategoryTheory.Isostatement and proof · cited by 3,963
- BialgHomproof · cited by 190
- BialgEquivstatement · cited by 88
- HopfAlgCatstatement and proof · cited by 31
- HopfAlgCat.carrierstatement and proof · cited by 28
- BialgHom.toCoalgHomproof · cited by 7
- HopfAlgCat.Hom.toBialgHomproof · cited by 6
Cited by4
Results whose statement or proof uses this declaration.
- CategoryTheory.Iso.toHopfAlgEquiv_reflstatement · cited by 0
- CategoryTheory.Iso.toHopfAlgEquiv_symmstatement · cited by 0
- CategoryTheory.Iso.toHopfAlgEquiv_toBialgHomstatement · cited by 0
- CategoryTheory.Iso.toHopfAlgEquiv_transstatement · cited by 0