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Theorems · Theorem · category theory

CommBialgCat.comp_apply

∀ {R : Type u} [inst : CommRing R] {A B C : CommBialgCat R} (f : A ⟶ B) (g : B ⟶ C) (a : ↑A),
  (CategoryTheory.ConcreteCategory.hom (CategoryTheory.CategoryStruct.comp f g)) a =
    (CategoryTheory.ConcreteCategory.hom g) ((CategoryTheory.ConcreteCategory.hom f) a)
Defined in
Mathlib.Algebra.Category.CommBialgCat
Cited by
0 results in Mathlib
Foundations
Depth 76 from the axioms · uses propext, Quot.sound
Assumes
CommRing
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Around this declaration

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DFunLike.coe · cited by 62936DFunLike.coeQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCommRing · cited by 17173CommRingCategoryTheory.ConcreteCategory.hom · cited by 4022ConcreteCategory.homBialgHom · cited by 190BialgHomCommBialgCat · cited by 38CommBialgCatCommBialgCat.carrier · cited by 33CommBialgCat.carrierCommBialgCat.Hom.hom · cited by 14Hom.homBialgHom.comp_apply · cited by 6BialgHom.comp_applyCommBialgCat.comp_applyCITED BYCITES

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