Theorems · Inductive type · category theory
CategoryTheory.Limits.HasLimit
{J : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} J] →
{C : Type u} → [inst_1 : CategoryTheory.Category.{v, u} C] → CategoryTheory.Functor J C → PropHasLimit F represents the mere existence of a limit for F.
- Defined in
- Mathlib.CategoryTheory.Limits.HasLimits
- Cited by
- 226 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 by304
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.HasPullbackproof · cited by 434
- CategoryTheory.Limits.limitstatement and proof · cited by 346
- CategoryTheory.Limits.limit.πstatement and proof · cited by 278
- CategoryTheory.Limits.limit.lift_πstatement and proof · cited by 266
- CategoryTheory.Limits.HasBinaryProductproof · cited by 169
- CategoryTheory.Limits.HasKernelproof · cited by 169
- CategoryTheory.Limits.limit.isLimitstatement and proof · cited by 146
- CategoryTheory.Limits.HasProductproof · cited by 115
- CategoryTheory.Limits.limit.conestatement and proof · cited by 97
- CategoryTheory.Limits.limit.lift_π_assocstatement and proof · cited by 95
- CategoryTheory.Limits.HasMultiequalizerproof · cited by 88
- CategoryTheory.Limits.limit.liftstatement and proof · cited by 48
Showing the 200 most cited of 304.