Theorems · Theorem · Lie groups
ProfiniteGrp.ProfiniteCompletion.etaFn_injective_iff_residuallyFinite
∀ (G : GrpCat), Function.Injective (ProfiniteGrp.ProfiniteCompletion.etaFn G) ↔ Group.ResiduallyFinite ↑G
- Cited by
- 0 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.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopCat.carrierstatement · cited by 3,184
- TopCatstatement · cited by 1,889
- TotallyDisconnectedSpacestatement · cited by 295
- CompHausLike.toTopstatement · cited by 258
- GrpCatstatement and proof · cited by 146
- GrpCat.carrierstatement · cited by 125
- ProfiniteGrp.toProfinitestatement · cited by 51
- Group.ResiduallyFinitestatement · cited by 12
- ProfiniteGrp.ProfiniteCompletion.completionstatement · cited by 8
- ProfiniteGrp.ProfiniteCompletion.etaproof · cited by 6
- ProfiniteGrp.ProfiniteCompletion.etaFnstatement · cited by 2
- GrpCat.mono_iff_injectiveproof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.