Theorems · Definition · general topology
Profinite.limitConeIsLimit
{J : Type v} →
[inst : CategoryTheory.SmallCategory J] →
(F : CategoryTheory.Functor J Profinite) → CategoryTheory.Limits.IsLimit (Profinite.limitCone F)The limit cone Profinite.limitCone F is indeed a limit cone.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 98 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.
Cites16
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.Functor.compproof · cited by 6,529
- TopCat.carrierstatement · cited by 3,184
- TopCatstatement · cited by 1,889
- CategoryTheory.InducedCategory.Hom.homproof · cited by 850
- CategoryTheory.Limits.Coneproof · cited by 710
- CategoryTheory.Limits.IsLimitstatement · cited by 664
- CategoryTheory.SmallCategorystatement and proof · cited by 480
- TotallyDisconnectedSpacestatement · cited by 295
- CategoryTheory.Limits.IsLimit.liftproof · cited by 167
- CategoryTheory.Functor.mapConeproof · cited by 147
- Profinitestatement and proof · cited by 75
Cited by6
Results whose statement or proof uses this declaration.
- Profinite.asLimitproof · cited by 1
- ProfiniteGrp.limitConeIsLimitproof · cited by 1
- Profinite.indexCone_isLimitproof · cited by 0
- Profinite.isoAsLimitConeLiftproof · cited by 0
- Profinite.isoindexConeLiftproof · cited by 0
- ProfiniteAddGrp.limitConeIsLimitproof · cited by 0