Theorems · Theorem · order theory
Set.sdiff_self_inter
∀ {α : Type u_1} {s t : Set α}, s \ (s ∩ t) = s \ t- Defined in
- Mathlib.Order.BooleanAlgebra.Set
- Cited by
- 17 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.
Cites2
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
- sdiff_inf_self_leftproof · cited by 5
Cited by17
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.IndepSets.indepproof · cited by 9
- codiscreteWithin_iff_locallyFiniteComplementWithinproof · cited by 3
- MeasureTheory.AEDisjoint.sdiff_ae_eq_leftproof · cited by 3
- MeasureTheory.exists_decomposition_of_monotoneOn_hasDerivWithinAtproof · cited by 3
- Matroid.IsCircuit.inter_isCocircuit_ne_singletonproof · cited by 2
- PrimitiveSpectrum.isTopologicalBasis_relativeLowerproof · cited by 1
- ProbabilityTheory.Kernel.IndepSets.indep_auxproof · cited by 1
- Set.sdiff_sep_selfproof · cited by 1
- MeasureTheory.AddContent.isCaratheodory_ofFunction_of_memproof · cited by 1
- MeasureTheory.AEContinuous.hasBoxIntegralproof · cited by 1
- MeasurableSet.image_of_monotoneOn_of_continuousOnproof · cited by 1
- Matroid.IsBasis.contract_sdiff_isBasis_sdiffproof · cited by 1