Theorems · Definition · Lie groups
ProfiniteAddGrp.diagram
(P : ProfiniteAddGrp.{u}) → CategoryTheory.Functor (OpenNormalAddSubgroup ↑P.toProfinite.toTop) ProfiniteAddGrp.{u}The diagram of finite quotients of P viewed in ProfiniteAddGrp.
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound
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 · cited by 16,252
- CategoryTheory.Functor.compproof · cited by 6,529
- TopCat.carrierstatement · cited by 3,184
- TopCatstatement · cited by 1,889
- TotallyDisconnectedSpacestatement · cited by 295
- CategoryTheory.forget₂proof · cited by 260
- CompHausLike.toTopstatement · cited by 258
- ProfiniteAddGrp.toProfinitestatement · cited by 31
- ProfiniteAddGrpstatement and proof · cited by 30
- OpenNormalAddSubgroupstatement · cited by 20
- FiniteAddGrpproof · cited by 7
- ProfiniteAddGrp.toFiniteQuotientFunctorproof · cited by 2
Cited by10
Results whose statement or proof uses this declaration.
- ProfiniteAddGrp.conestatement · cited by 2
- ProfiniteAddGrp.projstatement · cited by 1
- ProfiniteAddGrp.toLimitstatement and proof · cited by 1
- ProfiniteAddGrp.toLimitFunstatement · cited by 1
- ProfiniteAddGrp.cone_ptstatement · cited by 0
- ProfiniteAddGrp.cone_π_appstatement · cited by 0
- ProfiniteAddGrp.diagram_mapstatement and proof · cited by 0
- ProfiniteAddGrp.diagram_objstatement and proof · cited by 0
- ProfiniteAddGrp.toLimitFun_continuousstatement and proof · cited by 0
- ProfiniteAddGrp.toLimit_injectivestatement · cited by 0