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Theorems · Definition · category theory

CategoryTheory.RegularEpi.ofSplitEpi

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {X Y : C} → (f : X ⟶ Y) → [CategoryTheory.IsSplitEpi f] → CategoryTheory.RegularEpi f

Every split epimorphism is a regular epimorphism.

Defined in
Mathlib.CategoryTheory.Limits.Shapes.RegularMono
Cited by
0 results in Mathlib
Foundations
Depth 31 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.IsSplitEpi
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CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.CategoryStruct.comp · cited by 17999CategoryStruct.compCategoryTheory.CategoryStruct.id · cited by 6235CategoryStruct.idCategoryTheory.IsSplitEpi · cited by 46CategoryTheory.IsSplitEpiCategoryTheory.section_ · cited by 21CategoryTheory.section_CategoryTheory.RegularEpi · cited by 16CategoryTheory.RegularEpiCategoryTheory.Limits.isSplitEpiCoequalizes · cited by 0Limits.isSplitEpiCoequali…RegularEpi.ofSplitEpiCITED BYCITES

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