Theorems · Inductive type · category theory
CategoryTheory.CountableAB4
(C : Type u) → [inst : CategoryTheory.Category.{v, u} C] → [CategoryTheory.Limits.HasCountableCoproducts C] → PropA category C which has countable coproducts is said to have countable AB4 provided that
countable coproducts are exact.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
- CategoryTheory.Limits.HasCountableCoproductsstatement · cited by 4
Cited by5
Results whose statement or proof uses this declaration.
- CategoryTheory.CountableAB4.of_hasExactColimitsOfShape_nat_and_finitestatement · cited by 1
- CategoryTheory.CountableAB4.recOnstatement and proof · cited by 0
- CategoryTheory.CountableAB4.casesOnstatement and proof · cited by 0
- CategoryTheory.CountableAB4.of_countableAB5statement · cited by 0
- CategoryTheory.CountableAB4.of_hasExactColimitsOfShape_natstatement · cited by 0