Theorems · Definition · Lie groups
ProfiniteGrp.proj
{P : ProfiniteGrp.{u}} → (U : OpenNormalSubgroup ↑P.toProfinite.toTop) → P ⟶ P.diagram.obj UThe projection from P to the quotient by an open normal subgroup.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 108 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.
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- TopCat.carrierstatement and proof · cited by 3,184
- TopCatstatement · cited by 1,889
- TotallyDisconnectedSpacestatement · cited by 295
- CompHausLike.toTopstatement and proof · cited by 258
- QuotientGroup.mkproof · cited by 196
- ProfiniteGrp.toProfinitestatement and proof · cited by 51
- ProfiniteGrpstatement and proof · cited by 47
- OpenNormalSubgroupstatement and proof · cited by 27
- ProfiniteGrp.diagramstatement · cited by 10
- ProfiniteGrp.ofHomproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- ProfiniteGrp.coneproof · cited by 2
- ProfiniteGrp.cone_π_appstatement · cited by 0