CategoryTheory.AB5StarOfSize

(C : Type u) →
  [inst : CategoryTheory.Category.{v, u} C] → [CategoryTheory.Limits.HasCofilteredLimitsOfSize.{w, w', v, u} 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
Cited by: 3 results in Mathlib
Foundations: Depth 2 from the axioms · uses no axioms
Assumes: CategoryTheory.Category CategoryTheory.Limits.HasCofilteredLimitsOfSize

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Results whose statement or proof uses this declaration.