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Theorems · Theorem · category theory

CategoryTheory.MorphismProperty.Arrow.w

∀ {T : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} T] {P Q W : CategoryTheory.MorphismProperty T}
  [inst_1 : Q.IsMultiplicative] [inst_2 : W.IsMultiplicative] {A B : P.Arrow Q W} (f : A ⟶ B),
  CategoryTheory.CategoryStruct.comp f.left B.hom = CategoryTheory.CategoryStruct.comp A.hom f.right
Defined in
Mathlib.CategoryTheory.MorphismProperty.Comma
Cited by
1 results in Mathlib
Foundations
Depth 16 from the axioms · uses propext, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.MorphismProperty.IsMultiplicativeCategoryTheory.MorphismProperty.IsMultiplicative
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Around this declaration

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CategoryTheory.MorphismProperty.Arrow.w_assoc · cited by 0Arrow.w_assocCategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.obj · cited by 19642Functor.objCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCategoryTheory.Functor.id · cited by 3333Functor.idCategoryTheory.MorphismProperty · cited by 2179CategoryTheory.MorphismPr…CategoryTheory.Comma.left · cited by 886Comma.leftCategoryTheory.Comma.right · cited by 727Comma.rightCategoryTheory.CommaMorphism.left · cited by 526CommaMorphism.leftCategoryTheory.Comma.hom · cited by 490Comma.homCategoryTheory.CommaMorphism.right · cited by 391CommaMorphism.rightCategoryTheory.MorphismProperty.IsMultiplicative · cited by 332MorphismProperty.IsMultip…CategoryTheory.MorphismProperty.Comma.toComma · cited by 260Comma.toCommaCategoryTheory.MorphismProperty.Comma.Hom.toCommaMorphism · cited by 142Hom.toCommaMorphismCategoryTheory.CommaMorphism.w · cited by 24CommaMorphism.wArrow.wCITED BYCITES

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Cited by1

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