Theorems · Theorem · order theory
Set.compl_univ
∀ {α : Type u_1}, Set.univᶜ = ∅- Defined in
- Mathlib.Order.BooleanAlgebra.Set
- Cited by
- 41 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
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
- Set.univstatement · cited by 3,945
- Compl.complstatement · cited by 2,925
- compl_topproof · cited by 4
Cited by41
Results whose statement or proof uses this declaration.
- MeasurableSet.univproof · cited by 178
- MeasurableEmbedding.map_applyproof · cited by 16
- spectrum.of_subsingletonproof · cited by 10
- PrimeSpectrum.iSup_basicOpen_eq_top_iffproof · cited by 6
- MeasureTheory.Measure.MutuallySingular.compProd_of_leftproof · cited by 5
- Filter.cocompact_eq_botproof · cited by 5
- MeasureTheory.ae_eq_topproof · cited by 4
- SSet.nonDegenerate_eq_empty_of_hasDimensionLTproof · cited by 4
- MeasurableEmbedding.sigmaFinite_mapproof · cited by 3
- noncompactSpace_of_neBotproof · cited by 2
- isCompact_setOfPred_finiteMeasure_le_of_isCompactproof · cited by 2
- Bornology.cobounded_eq_bot_iffproof · cited by 2