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Theorems · Theorem · category theory

CommHopfAlgCat.ofHom_apply

∀ {R : Type u} [inst : CommRing R] {X Y : Type v} [inst_1 : CommRing X] [inst_2 : HopfAlgebra R X] [inst_3 : CommRing Y]
  [inst_4 : HopfAlgebra R Y] (f : X →ₐc[R] Y) (x : X),
  (CategoryTheory.ConcreteCategory.hom (CommHopfAlgCat.ofHom f)) x = f x
Defined in
Mathlib.Algebra.Category.CommHopfAlgCat
Cited by
0 results in Mathlib
Foundations
Depth 76 from the axioms · uses propext, Quot.sound
Assumes
CommRingCommRingHopfAlgebraCommRingHopfAlgebra
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DFunLike.coe · cited by 62936DFunLike.coeCommRing · cited by 17173CommRingCategoryTheory.ConcreteCategory.hom · cited by 4022ConcreteCategory.homBialgHom · cited by 190BialgHomHopfAlgebra · cited by 59HopfAlgebraCommHopfAlgCat · cited by 38CommHopfAlgCatCommHopfAlgCat.X · cited by 30CommHopfAlgCat.XCommHopfAlgCat.ofHom · cited by 11CommHopfAlgCat.ofHomCommHopfAlgCat.ofHom_applyCITED BYCITES

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