Theorems · Theorem · general topology
OnePoint.comap_coe_nhds_infty
∀ {X : Type u_1} [inst : TopologicalSpace X],
Filter.comap OnePoint.some (nhds OnePoint.infty) = Filter.coclosedCompact X- Cited by
- 1 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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
- Filterstatement and proof · cited by 8,121
- nhdsstatement · cited by 5,554
- Filter.principalproof · cited by 740
- Filter.comapstatement and proof · cited by 546
- sup_of_le_leftproof · cited by 218
- OnePointstatement · cited by 126
- OnePoint.inftystatement · cited by 102
- OnePoint.somestatement and proof · cited by 76
- Filter.coclosedCompactstatement and proof · cited by 20
- Filter.principal_emptyproof · cited by 19
- Filter.comap_mapproof · cited by 12
Cited by1
Results whose statement or proof uses this declaration.
- Rat.not_countably_generated_nhds_infty_opcproof · cited by 1