Theorems · Definition · category theory
CompHaus.limitCone
{J : Type v} →
[inst : CategoryTheory.SmallCategory J] → (F : CategoryTheory.Functor J CompHaus) → CategoryTheory.Limits.Cone FAn explicit limit cone for a functor F : J ⥤ CompHaus, defined in terms of
TopCat.limitCone.
- Defined in
- Mathlib.Topology.Category.CompHaus.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.SmallCategory
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.NatTrans.appproof · cited by 7,406
- CategoryTheory.Functor.compproof · cited by 6,529
- TopCatstatement · cited by 1,889
- CategoryTheory.Limits.Cone.ptproof · cited by 1,298
- CategoryTheory.Limits.Conestatement · cited by 710
- CategoryTheory.Limits.Cone.πproof · cited by 500
- CategoryTheory.SmallCategorystatement and proof · cited by 480
- CompHausstatement and proof · cited by 61
- CategoryTheory.InducedCategory.homMkproof · cited by 33
- TopCat.limitConeproof · cited by 3
- compHausToTopproof · cited by 0
Cited by3
Results whose statement or proof uses this declaration.
- Profinite.limitConeproof · cited by 1
- LightProfinite.limitConeproof · cited by 0
- CompHaus.limitConeIsLimitstatement · cited by 0