Theorems · Theorem · order theory
Set.union_sdiff_self
∀ {α : Type u_1} {s t : Set α}, s ∪ t \ s = s ∪ t- Defined in
- Mathlib.Order.BooleanAlgebra.Set
- Cited by
- 28 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
- sup_sdiff_selfproof · cited by 9
Cited by28
Results whose statement or proof uses this declaration.
- Set.insert_sdiff_singletonproof · cited by 28
- MeasureTheory.measure_mono_aeproof · cited by 5
- MeasureTheory.IntegrableOn.of_ae_sdiff_eq_zeroproof · cited by 4
- MeasureTheory.measure_add_sdiffproof · cited by 3
- MeasureTheory.addContent_sdiff_of_ne_topproof · cited by 3
- MeasureTheory.exists_decomposition_of_monotoneOn_hasDerivWithinAtproof · cited by 3
- MeasureTheory.measureReal_add_sdiffproof · cited by 2
- Set.BijOn.exists_extend_of_subsetproof · cited by 2
- IsPreconnected.preperfect_of_nontrivialproof · cited by 2
- Matroid.IsRkFinite.isRkFinite_sdiff_iffproof · cited by 2
- Set.biUnion_sdiff_biUnion_subsetproof · cited by 2
- MeasureTheory.SignedMeasure.subset_positive_null_setproof · cited by 2