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Theorems · Definition · category theory

CategoryTheory.AB5Star

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

A category C which has cofiltered limits is said to have AB5Star (in literature AB5*) provided that cofiltered limits are exact.

Defined in
Mathlib.CategoryTheory.Abelian.GrothendieckAxioms.Basic
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Foundations
Depth 3 from the axioms · uses no axioms
Assumes
CategoryTheory.CategoryCategoryTheory.Limits.HasCofilteredLimits

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