Theorems · Definition · Lie groups
ProfiniteGrp.limitCone
{J : Type v} →
[inst : CategoryTheory.SmallCategory J] →
(F : CategoryTheory.Functor J ProfiniteGrp.{max v u}) → CategoryTheory.Limits.Cone FThe explicit limit cone in ProfiniteGrp.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 106 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.
- Quiver.Homproof · cited by 32,603
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.Functor.compproof · cited by 6,529
- TopCat.carrierproof · cited by 3,184
- CategoryTheory.Limits.Cone.ptproof · cited by 1,298
- CategoryTheory.Functor.constproof · cited by 1,264
- CategoryTheory.Limits.Conestatement · cited by 710
- CategoryTheory.SmallCategorystatement and proof · cited by 480
- CategoryTheory.forget₂proof · cited by 260
- CompHausLike.toTopproof · cited by 258
- Profiniteproof · cited by 75
Cited by2
Results whose statement or proof uses this declaration.
- ProfiniteGrp.ProfiniteCompletion.liftproof · cited by 3
- ProfiniteGrp.limitConeIsLimitstatement and proof · cited by 1