Theorems · Theorem · general topology
OnePoint.denseRange_coe
∀ {X : Type u_1} [inst : TopologicalSpace X] [NoncompactSpace X], DenseRange OnePoint.someIf X is not a compact space, then the natural embedding X → OnePoint X has dense range.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Denseproof · cited by 359
- DenseRangestatement · cited by 164
- OnePointstatement and proof · cited by 126
- OnePoint.inftyproof · cited by 102
- OnePoint.somestatement and proof · cited by 76
- NoncompactSpacestatement and proof · cited by 21
- dense_compl_singletonproof · cited by 6
- OnePoint.compl_inftyproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- OnePoint.isDenseEmbedding_coeproof · cited by 0