Theorems · Theorem · general topology
Filter.principal_univ
∀ {α : Type u}, Filter.principal Set.univ = ⊤- Defined in
- Mathlib.Order.Filter.Basic
- Cited by
- 46 results in Mathlib
- Foundations
- Depth 51 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement · cited by 9,680
- Filterstatement · cited by 8,121
- Set.univstatement and proof · cited by 3,945
- Filter.principalstatement · cited by 740
- top_uniqueproof · cited by 102
Cited by47
Results whose statement or proof uses this declaration.
- nhdsWithin_univproof · cited by 88
- TopologicalSpace.nhds_generateFromproof · cited by 15
- Filter.map_topproof · cited by 6
- uniformContinuous_of_constproof · cited by 4
- tendstoUniformly_iff_tendstoUniformlyOnFilterproof · cited by 4
- uniformContinuousOn_univproof · cited by 4
- Filter.iInf_principal_finsetproof · cited by 3
- Continuous.exists_forall_le'proof · cited by 3
- Filter.hnot_principalproof · cited by 2
- nhdsSetWithin_univproof · cited by 2
- Filter.lift'_iInf_of_map_univproof · cited by 2
- RestrictedProduct.isEmbedding_coe_of_topproof · cited by 2