Theorems · Definition · Lie groups
ProfiniteGrp.Hom.hom
{M N : ProfiniteGrp.{u}} → M.Hom N → ↑M.toProfinite.toTop →ₜ* ↑N.toProfinite.toTopThe underlying ContinuousMonoidHom.
- Cited by
- 20 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
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.ConcreteCategory.homproof · cited by 4,022
- TopCat.carrierstatement · cited by 3,184
- TopCatstatement · cited by 1,889
- TotallyDisconnectedSpacestatement · cited by 295
- CompHausLike.toTopstatement · cited by 258
- ContinuousMonoidHomstatement · cited by 104
- ProfiniteGrp.toProfinitestatement · cited by 51
- ProfiniteGrpstatement and proof · cited by 47
- ProfiniteGrp.Homstatement and proof · cited by 2
Cited by21
Results whose statement or proof uses this declaration.
- ProfiniteGrp.limitConePtAuxproof · cited by 19
- ProfiniteGrp.hom_extstatement and proof · cited by 2
- ProfiniteGrp.comp_applystatement and proof · cited by 1
- ProfiniteGrp.denseRange_toLimitstatement and proof · cited by 1
- ProfiniteGrp.ProfiniteCompletion.denseRangeproof · cited by 1
- ProfiniteGrp.coe_compstatement · cited by 0
- ProfiniteGrp.coe_idstatement · cited by 0
- ProfiniteGrp.toLimit_injectivestatement and proof · cited by 0
- ProfiniteGrp.toLimit_surjectivestatement and proof · cited by 0
- Algebra.IsInvariant.exists_smul_of_under_eq_of_profiniteproof · cited by 0
- ProfiniteGrp.hom_compstatement · cited by 0
- ProfiniteGrp.hom_ext_iffstatement and proof · cited by 0