Theorems · Inductive type · category theory
CategoryTheory.Limits.HasColimit
{J : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} J] →
{C : Type u} → [inst_1 : CategoryTheory.Category.{v, u} C] → CategoryTheory.Functor J C → PropHasColimit F represents the mere existence of a colimit for F.
- Defined in
- Mathlib.CategoryTheory.Limits.HasLimits
- Cited by
- 307 results in Mathlib
- Foundations
- Depth 2 from the axioms, rests on 3 definitions · 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.Functorstatement · cited by 16,252
Cited by407
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.colimitstatement and proof · cited by 453
- CategoryTheory.Limits.colimit.ιstatement and proof · cited by 397
- CategoryTheory.Limits.colimit.isColimitstatement and proof · cited by 193
- CategoryTheory.Limits.HasPushoutproof · cited by 192
- CategoryTheory.Limits.colimit.ι_descstatement and proof · cited by 170
- CategoryTheory.Limits.HasCoproductproof · cited by 143
- CategoryTheory.Limits.colimit.coconestatement and proof · cited by 136
- CategoryTheory.Limits.HasCokernelproof · cited by 131
- CategoryTheory.Limits.HasBinaryCoproductproof · cited by 81
- CategoryTheory.Limits.colimMapstatement and proof · cited by 69
- CategoryTheory.Limits.colimit.descstatement and proof · cited by 63
- CategoryTheory.Limits.HasColimit.isoOfNatIsostatement and proof · cited by 56
Showing the 200 most cited of 407.