Theorems · Theorem · logic and foundations
Set.univ_inter
∀ {α : Type u} (a : Set α), Set.univ ∩ a = a- Defined in
- Mathlib.Data.Set.Basic
- Cited by
- 258 results in Mathlib
- Foundations
- Depth 21 from the axioms, rests on 128 definitions · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Set.univstatement · cited by 3,945
- top_inf_eqproof · cited by 30
Cited by258
Results whose statement or proof uses this declaration.
- Set.univ_prodproof · cited by 16
- MeasureTheory.Measure.restrict_apply_univproof · cited by 15
- PartialEquiv.refl_transproof · cited by 15
- uniqueMDiffWithinAt_univproof · cited by 14
- mfderivWithin_univproof · cited by 14
- MeasureTheory.lintegral_indicator_oneproof · cited by 13
- MeasureTheory.self_mem_ae_restrictproof · cited by 13
- IsClosed.isLocallyClosedproof · cited by 12
- hasMFDerivWithinAt_univproof · cited by 11
- Set.sep_univproof · cited by 11
- ContDiffWithinAt.contDiffAtproof · cited by 10
- Filter.mem_inf_of_rightproof · cited by 10
Showing the 200 most cited of 258.