Theorems · Definition · general topology
Profinite.of
(X : Type u_1) → [inst : TopologicalSpace X] → [CompactSpace X] → [T2Space X] → [TotallyDisconnectedSpace X] → Profinite
Construct a term of Profinite from a type endowed with the structure of a
compact, Hausdorff and totally disconnected topological space.
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- TopCat.carrierproof · cited by 3,184
- TopCatproof · cited by 1,889
- T2Spacestatement and proof · cited by 1,351
- CompactSpacestatement and proof · cited by 593
- TotallyDisconnectedSpacestatement and proof · cited by 295
- Profinitestatement · cited by 75
- CompHausLike.ofproof · cited by 24
Cited by25
Results whose statement or proof uses this declaration.
- FintypeCat.toProfiniteproof · cited by 32
- ProfiniteGrp.ofproof · cited by 8
- ProfiniteAddGrp.ofproof · cited by 6
- Condensed.isoFinYonedaComponentsstatement and proof · cited by 5
- Condensed.fintypeCatAsCofanstatement and proof · cited by 3
- Profinite.NobelingProof.spanFunctorproof · cited by 3
- Profinite.epi_iff_surjectiveproof · cited by 2
- Profinite.indexFunctorproof · cited by 2
- Profinite.isTerminalPUnitstatement · cited by 2
- Condensed.fintypeCatAsCofanIsColimitstatement and proof · cited by 2
- Condensed.isoFinYonedaComponents_hom_applystatement · cited by 1
- Condensed.isoFinYonedaComponents_inv_compstatement and proof · cited by 1