Theorems · Theorem · order theory
Set.compl_inter_self
∀ {α : Type u_1} (s : Set α), sᶜ ∩ s = ∅- Defined in
- Mathlib.Order.BooleanAlgebra.Set
- Cited by
- 16 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.
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
- Compl.complstatement · cited by 2,925
- compl_inf_eq_botproof · cited by 1
Cited by16
Results whose statement or proof uses this declaration.
- MeasureTheory.FinStronglyMeasurable.exists_set_sigmaFiniteproof · cited by 3
- codiscreteWithin_iff_locallyEmptyComplementWithinproof · cited by 3
- BoxIntegral.integrable_of_continuousOnproof · cited by 3
- MeasureTheory.sigmaFinite_restrict_sigmaFiniteSetWRT'proof · cited by 3
- disjoint_interior_frontierproof · cited by 2
- Subtype.preimage_coe_compl'proof · cited by 2
- PrimeSpectrum.exists_mul_eq_zero_add_eq_one_basicOpen_eq_of_isClopenproof · cited by 2
- ProbabilityTheory.condExp_generateFrom_singletonproof · cited by 1
- MeasureTheory.OuterMeasure.restrict_trimproof · cited by 1
- Topology.IsConstructible.image_of_isClosedEmbeddingproof · cited by 1
- mem_map_indicator_ae_iff_mem_map_restrict_ae_of_zero_memproof · cited by 1