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Theorems · Theorem · category theory

CategoryTheory.IsSplitMono.id_assoc

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {X Y : C} (f : Y ⟶ X) [hf : CategoryTheory.IsSplitMono f]
  {Z : C} (h : Y ⟶ Z),
  CategoryTheory.CategoryStruct.comp f (CategoryTheory.CategoryStruct.comp (CategoryTheory.retraction f) h) = h
Defined in
Mathlib.CategoryTheory.EpiMono
Cited by
0 results in Mathlib
Foundations
Depth 6 from the axioms · uses Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.IsSplitMono
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CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCategoryTheory.Category.assoc · cited by 6433Category.assocCategoryTheory.Category.id_comp · cited by 1998Category.id_compCategoryTheory.IsSplitMono · cited by 33CategoryTheory.IsSplitMonoCategoryTheory.retraction · cited by 14CategoryTheory.retractionCategoryTheory.IsSplitMono.id · cited by 6IsSplitMono.idIsSplitMono.id_assocCITED BYCITES

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