Theorems · Definition · category theory
CategoryTheory.Limits.limitConeOfUnique
{β : Type w} →
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
[Unique β] → (f : β → C) → CategoryTheory.Limits.LimitCone (CategoryTheory.Discrete.functor f)The limit cone for the product over an index type with exactly one term.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.CategoryStruct.compproof · cited by 17,999
- CategoryTheory.NatTrans.appproof · cited by 7,406
- CategoryTheory.Discretestatement and proof · cited by 2,447
- CategoryTheory.Limits.Cone.ptproof · cited by 1,298
- CategoryTheory.Functor.constproof · cited by 1,264
- CategoryTheory.eqToHomproof · cited by 860
- CategoryTheory.Limits.Coneproof · cited by 710
- CategoryTheory.Discrete.functorstatement and proof · cited by 633
- CategoryTheory.Limits.Cone.πproof · cited by 500
Cited by6
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.limitBiconeOfUniqueproof · cited by 7
- CategoryTheory.Limits.productUniqueIsoproof · cited by 4
- CategoryTheory.Limits.limitBiconeOfUnique_isBilimit_isLimitstatement · cited by 0
- CategoryTheory.Limits.limitConeOfUnique_cone_ptstatement and proof · cited by 0
- CategoryTheory.Limits.limitConeOfUnique_cone_πstatement and proof · cited by 0
- CategoryTheory.Limits.limitConeOfUnique_isLimit_liftstatement and proof · cited by 0