Theorems · Definition · category theory
CategoryTheory.Limits.HasWideEqualizers
(C : Type u) → [CategoryTheory.Category.{v, u} C] → PropA category HasWideEqualizers if it has all limits of shape WalkingParallelFamily J, i.e.
if it has a wide equalizer for every family of parallel morphisms.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses no axioms
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Limits.HasLimitsOfShapeproof · cited by 223
- CategoryTheory.Limits.WalkingParallelFamilyproof · cited by 61
Cited by2
Results whose statement or proof uses this declaration.
- CategoryTheory.hasInitial_of_weakly_initial_and_hasWideEqualizersstatement and proof · cited by 0
- CategoryTheory.Limits.hasWideEqualizers_of_hasLimit_parallelFamilystatement · cited by 0