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Theorems · Theorem · category theory

CategoryTheory.MorphismProperty.HasOfPrecompProperty.of_precomp

∀ {C : Type u} {inst : CategoryTheory.Category.{v, u} C} {W W' : CategoryTheory.MorphismProperty C}
  [self : W.HasOfPrecompProperty W'] {X Y Z : C} (f : X ⟶ Y) (g : Y ⟶ Z),
  W' f → W (CategoryTheory.CategoryStruct.comp f g) → W g
Defined in
Mathlib.CategoryTheory.MorphismProperty.Composition
Cited by
1 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
Assumes
CategoryTheory.MorphismProperty.HasOfPrecompProperty
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CategoryTheory.MorphismProperty.of_precomp · cited by 5MorphismProperty.of_preco…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCategoryTheory.MorphismProperty · cited by 2179CategoryTheory.MorphismPr…CategoryTheory.MorphismProperty.HasOfPrecompProperty · cited by 6MorphismProperty.HasOfPre…HasOfPrecompProperty.of_preco…CITED BYCITES

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