Theorems · Theorem · Lie groups
ProfiniteGrp.ProfiniteCompletion.mono_eta_iff_residuallyFinite
∀ (G : GrpCat), CategoryTheory.Mono (ProfiniteGrp.ProfiniteCompletion.eta G) ↔ Group.ResiduallyFinite ↑G
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CategoryTheory.ConcreteCategory.homproof · cited by 4,022
- TopCat.carrierstatement · cited by 3,184
- TopCatstatement · cited by 1,889
- CategoryTheory.Monostatement · cited by 893
- TotallyDisconnectedSpacestatement · cited by 295
- CompHausLike.toTopstatement · cited by 258
- GrpCatstatement and proof · cited by 146
- GrpCat.carrierstatement and proof · cited by 125
- ProfiniteGrp.toProfinitestatement · cited by 51
- GrpCat.ofstatement · cited by 32
- FiniteIndexNormalSubgroupproof · cited by 27
Cited by1
Results whose statement or proof uses this declaration.
- ProfiniteGrp.ProfiniteCompletion.etaFn_injective_iff_residuallyFiniteproof · cited by 0