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Theorems · Inductive type · category theory

CategoryTheory.Limits.HasStrongEpiImages

(C : Type u) → [inst : CategoryTheory.Category.{v, u} C] → [CategoryTheory.Limits.HasImages C] → Prop

A category has strong epi images if it has all images and factorThruImage f is a strong epimorphism for all f.

Defined in
Mathlib.CategoryTheory.Limits.Shapes.Images
Cited by
1 results in Mathlib
Foundations
Depth 2 from the axioms · uses no axioms
Assumes
CategoryTheory.CategoryCategoryTheory.Limits.HasImages
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CategoryTheory.Limits.HasStrongEpiImages.recOn · cited by 0HasStrongEpiImages.recOnCategoryTheory.Limits.HasStrongEpiImages.casesOn · cited by 0HasStrongEpiImages.casesOnCategoryTheory.Limits.HasStrongEpiImages.congr_simp · cited by 0HasStrongEpiImages.congr_…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Limits.HasImages · cited by 37Limits.HasImagesLimits.HasStrongEpiImagesCITED BYCITES

Cites2

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Cited by3

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