Theorems · Theorem · general topology
ultrafilter_comap_pure_nhds
∀ {α : Type u} (b : Ultrafilter α), Filter.comap pure (nhds b) ≤ ↑b- Cited by
- 2 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Filterstatement and proof · cited by 8,121
- Set.ofPredproof · cited by 6,101
- nhdsstatement · cited by 5,554
- iInfproof · cited by 1,690
- Filter.comapstatement and proof · cited by 546
- iInf_congr_Propproof · cited by 218
- Ultrafilterstatement and proof · cited by 193
- Ultrafilter.toFilterstatement and proof · cited by 172
- Filter.le_principal_iffproof · cited by 87
- iInf_le_of_leproof · cited by 62
- Filter.comap_principalproof · cited by 47
Cited by2
Results whose statement or proof uses this declaration.
- continuous_ultrafilter_extendproof · cited by 2
- ultrafilter_extend_eq_iffproof · cited by 1