Theorems · Theorem · order theory
Set.sdiff_eq_compl_inter
∀ {α : Type u_1} {s t : Set α}, s \ t = tᶜ ∩ s- Defined in
- Mathlib.Order.BooleanAlgebra.Set
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses propext, 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 and proof · cited by 53,352
- Compl.complstatement and proof · cited by 2,925
- Set.inter_commproof · cited by 291
- Set.sdiff_eqproof · cited by 59
Cited by17
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.IndepSets.indepproof · cited by 9
- Set.sdiff_subset_complproof · cited by 3
- ContDiffWithinAt.differentiableWithinAt_iteratedFDerivWithinproof · cited by 3
- ProbabilityTheory.setBernoulli_singletonproof · cited by 3
- MulAction.IsMultiplyPretransitive.index_of_fixingSubgroup_mulproof · cited by 2
- coborder_eq_union_frontier_complproof · cited by 2
- coborder_inter_closureproof · cited by 2
- Subalgebra.spectrum_sUnion_connectedComponentInproof · cited by 2
- ContinuousOn.measurable_piecewiseproof · cited by 2
- MeasureTheory.sdiff_mem_measurableCylindersproof · cited by 1
- MeasureTheory.SignedMeasure.of_symmDiff_compl_positive_negativeproof · cited by 1