Theorems · Definition · Lie groups
ProfiniteAddGrp.limit
{J : Type v} →
[inst : CategoryTheory.SmallCategory J] →
CategoryTheory.Functor J ProfiniteAddGrp.{max v u} → ProfiniteAddGrp.{max v u}The abbreviation for the limit of ProfiniteAddGrps.
- Cited by
- 6 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
- ProfiniteAddGrp.toProfiniteproof · cited by 31
- ProfiniteAddGrpstatement and proof · cited by 30
- ProfiniteAddGrp.ofproof · cited by 6
- ProfiniteAddGrp.limitConePtAuxproof · cited by 6
Cited by9
Results whose statement or proof uses this declaration.
- ProfiniteAddGrp.ProfiniteCompletion.completionproof · cited by 4
- ProfiniteAddGrp.toLimitstatement and proof · cited by 1
- ProfiniteAddGrp.toLimitFunstatement · cited by 1
- ProfiniteAddGrp.limit_extstatement and proof · cited by 1
- ProfiniteAddGrp.limit_zero_valstatement · cited by 0
- ProfiniteAddGrp.toLimitFun_continuousstatement · cited by 0
- ProfiniteAddGrp.toLimit_injectivestatement · cited by 0
- ProfiniteAddGrp.limit_add_valstatement and proof · cited by 0
- ProfiniteAddGrp.limit_ext_iffstatement and proof · cited by 0