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Theorems · Definition · category theory

HopfAlgCat.Hom.toBialgHom

{R : Type u} → [inst : CommRing R] → {X Y : HopfAlgCat R} → X.Hom Y → X.carrier →ₐc[R] Y.carrier

Turn a morphism in HopfAlgCat back into a BialgHom.

Defined in
Mathlib.Algebra.Category.HopfAlgCat.Basic
Cited by
6 results in Mathlib
Foundations
Depth 75 from the axioms · uses propext, Quot.sound
Assumes
CommRing
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.Iso.toHopfAlgEquiv · cited by 4Iso.toHopfAlgEquivHopfAlgCat.hom_ext · cited by 1HopfAlgCat.hom_extHopfAlgCat.toBialgHom_comp · cited by 0HopfAlgCat.toBialgHom_compHopfAlgCat.toBialgHom_id · cited by 0HopfAlgCat.toBialgHom_idHopfAlgCat.forget₂_bialgebra_map · cited by 0HopfAlgCat.forget₂_bialge…HopfAlgCat.Hom.toBialgHom_injective · cited by 0Hom.toBialgHom_injectiveHopfAlgCat.hom_ext_iff · cited by 0HopfAlgCat.hom_ext_iffCommRing · cited by 17173CommRingCategoryTheory.ConcreteCategory.hom · cited by 4022ConcreteCategory.homBialgHom · cited by 190BialgHomHopfAlgCat · cited by 31HopfAlgCatHopfAlgCat.carrier · cited by 28HopfAlgCat.carrierHopfAlgCat.Hom · cited by 6HopfAlgCat.HomHom.toBialgHomCITED BYCITES

Cites6

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Cited by7

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