Theorems · Theorem · category theory
CommHopfAlgCat.ofHom_comp
∀ {R : Type u} [inst : CommRing R] {X Y Z : Type v} [inst_1 : CommRing X] [inst_2 : HopfAlgebra R X]
[inst_3 : CommRing Y] [inst_4 : HopfAlgebra R Y] [inst_5 : CommRing Z] [inst_6 : HopfAlgebra R Z] (f : X →ₐc[R] Y)
(g : Y →ₐc[R] Z),
CommHopfAlgCat.ofHom (g.comp f) = CategoryTheory.CategoryStruct.comp (CommHopfAlgCat.ofHom f) (CommHopfAlgCat.ofHom g)- Defined in
- Mathlib.Algebra.Category.CommHopfAlgCat
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Quot.sound
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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
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- CommRingstatement and proof · cited by 17,173
- BialgHomstatement and proof · cited by 190
- HopfAlgebrastatement and proof · cited by 59
- CommHopfAlgCatstatement · cited by 38
- BialgHom.compstatement · cited by 26
- CommHopfAlgCat.ofHomstatement · cited by 11
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