Theorems · Theorem · order theory
Set.compl_iInter
∀ {β : Type u_2} {ι : Sort u_5} (s : ι → Set β), (⋂ i, s i)ᶜ = ⋃ i, (s i)ᶜ- Defined in
- Mathlib.Data.Set.Lattice
- Cited by
- 31 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, 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.
- Setstatement and proof · cited by 53,352
- Compl.complstatement · cited by 2,925
- Set.iUnionstatement · cited by 2,483
- Set.iInterstatement · cited by 1,084
- compl_iInfproof · cited by 6
Cited by31
Results whose statement or proof uses this declaration.
- MeasurableSet.iInterproof · cited by 31
- MeasureTheory.TendstoInMeasure.exists_seq_tendsto_aeproof · cited by 5
- Set.compl_iInter₂proof · cited by 5
- Set.sdiff_iInterproof · cited by 4
- Set.Finite.closure_biUnionproof · cited by 4
- MeasurableSet.measurableAtom_of_countableproof · cited by 3
- AEMeasurable.sum_measureproof · cited by 3
- NumberField.mixedEmbedding.volume_eq_two_pow_mul_two_pi_pow_mul_integralproof · cited by 2
- AlgebraicGeometry.IsAffineOpen.iSup_basicOpen_eq_self_iffproof · cited by 2
- MeasureTheory.Measure.MutuallySingular.sum_leftproof · cited by 2
- IsLindelof.elim_countable_subfamily_closedproof · cited by 2
- exists_continuous_one_zero_of_isCompact_of_isGδproof · cited by 2