Theorems · Theorem · general topology
Filter.univ_mem
∀ {α : Type u_1} {f : Filter α}, Set.univ ∈ f- Defined in
- Mathlib.Order.Filter.Defs
- Cited by
- 96 results in Mathlib
- Foundations
- Depth 5 from the axioms, rests on 12 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Filterstatement and proof · cited by 8,121
- Set.univstatement · cited by 3,945
- Filter.univ_setsproof · cited by 4
Cited by99
Results whose statement or proof uses this declaration.
- Filter.univ_mem'proof · cited by 1,672
- Filter.mapproof · cited by 819
- nhdsWithin_le_nhdsproof · cited by 145
- MeasureTheory.self_mem_ae_restrictproof · cited by 13
- Filter.mem_inf_of_rightproof · cited by 10
- nhdsAdjointproof · cited by 9
- Filter.range_mem_mapproof · cited by 8
- Filter.le_generate_iffproof · cited by 7
- Filter.eventually_trueproof · cited by 7
- ContDiffAt.fderivproof · cited by 6
- MeasureTheory.AEStronglyMeasurable.stronglyMeasurableAtFilterproof · cited by 6
- LipschitzWith.locallyLipschitzproof · cited by 6