Theorems · Inductive type · category theory
CategoryTheory.Limits.LimitCone
{J : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} J] →
{C : Type u} → [inst_1 : CategoryTheory.Category.{v, u} C] → CategoryTheory.Functor J C → Type (max (max u u₁) v)LimitCone F contains a cone over F together with the information that it is a limit.
- Defined in
- Mathlib.CategoryTheory.Limits.HasLimits
- Cited by
- 25 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.Functorstatement · cited by 16,252
Cited by75
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.LimitCone.conestatement and proof · cited by 72
- CategoryTheory.Limits.LimitCone.isLimitstatement and proof · cited by 58
- CategoryTheory.Limits.HasLimit.mkstatement and proof · cited by 29
- CategoryTheory.Limits.limit.isoLimitCone_inv_πstatement and proof · cited by 26
- CategoryTheory.Limits.limit.isoLimitConestatement and proof · cited by 8
- CategoryTheory.Limits.limit.isoLimitCone_hom_πstatement and proof · cited by 8
- CategoryTheory.CartesianMonoidalCategory.ofChosenFiniteProducts.tensorHomstatement and proof · cited by 7
- CategoryTheory.CartesianMonoidalCategory.ofChosenFiniteProducts.tensorObjstatement and proof · cited by 7
- limitConeOfTerminalAndPullbacksstatement · cited by 6
- CategoryTheory.Limits.Types.binaryProductLimitConestatement · cited by 6
- ModuleCat.binaryProductLimitConestatement · cited by 6
- AddCommGrpCat.binaryProductLimitConestatement · cited by 6