Theorems · Definition · Lie groups
ProfiniteGrp.limit
{J : Type v} →
[inst : CategoryTheory.SmallCategory J] → CategoryTheory.Functor J ProfiniteGrp.{max v u} → ProfiniteGrp.{max v u}The abbreviation for the limit of ProfiniteGrps.
- Cited by
- 23 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.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functor.objproof · cited by 19,642
- CategoryTheory.Functorstatement and proof · cited by 16,252
- TopCat.carrierproof · cited by 3,184
- CategoryTheory.SmallCategorystatement and proof · cited by 480
- CompHausLike.toTopproof · cited by 258
- ProfiniteGrp.toProfiniteproof · cited by 51
- ProfiniteGrpstatement and proof · cited by 47
- ProfiniteGrp.limitConePtAuxproof · cited by 19
- ProfiniteGrp.ofproof · cited by 8
Cited by34
Results whose statement or proof uses this declaration.
- ProfiniteGrp.ProfiniteCompletion.completionproof · cited by 8
- InfiniteGalois.projstatement and proof · cited by 6
- ProfiniteGrp.toLimitstatement and proof · cited by 3
- InfiniteGalois.limitToAlgEquivstatement and proof · cited by 3
- InfiniteGalois.mulEquivToLimitstatement and proof · cited by 3
- ProfiniteGrp.isoLimittoFiniteQuotientFunctorstatement · cited by 3
- InfiniteGalois.toAlgEquivAux_eq_proj_of_memstatement and proof · cited by 2
- ProfiniteGrp.toLimitFunstatement · cited by 1
- InfiniteGalois.algEquivToLimitstatement · cited by 1
- InfiniteGalois.finGaloisGroupFunctor_map_proj_eq_projstatement and proof · cited by 1
- InfiniteGalois.isOpen_mulEquivToLimit_image_fixingSubgroupstatement and proof · cited by 1
- ProfiniteGrp.ProfiniteCompletion.lift_etaproof · cited by 1