Theorems · Inductive type · category theory
CategoryTheory.Limits.HasCountableCoproducts
(C : Type u_1) → [CategoryTheory.Category.{v_1, u_1} C] → PropA category has countable coproducts if it has all coproducts indexed by countable types.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
Cited by9
Results whose statement or proof uses this declaration.
- CategoryTheory.CountableAB4statement · cited by 3
- CategoryTheory.CountableAB4.of_hasExactColimitsOfShape_nat_and_finitestatement and proof · cited by 1
- CategoryTheory.CountableAB4.recOnstatement and proof · cited by 0
- CategoryTheory.Limits.HasCountableCoproducts.outstatement and proof · cited by 0
- CategoryTheory.Limits.HasCountableCoproducts.casesOnstatement and proof · cited by 0
- CategoryTheory.CountableAB4.casesOnstatement and proof · cited by 0
- CategoryTheory.Limits.HasCountableCoproducts.recOnstatement and proof · cited by 0
- CategoryTheory.CountableAB4.of_countableAB5statement and proof · cited by 0
- CategoryTheory.CountableAB4.of_hasExactColimitsOfShape_natstatement and proof · cited by 0