Theorems · Theorem · order theory
Set.sdiff_union_inter
∀ {α : Type u_1} (s t : Set α), s \ t ∪ s ∩ t = s- Defined in
- Mathlib.Order.BooleanAlgebra.Set
- Cited by
- 19 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
- Set.union_commproof · cited by 99
- sup_inf_sdiffproof · cited by 13
Cited by19
Results whose statement or proof uses this declaration.
- Set.encard_sdiff_add_encard_interproof · cited by 6
- Set.ncard_inter_add_ncard_sdiff_eq_ncardproof · cited by 4
- Matroid.closure_sdiff_eq_selfproof · cited by 3
- Matroid.IsBase.exchange_isBase_of_indepproof · cited by 3
- SimpleGraph.addCayley_erase_zeroproof · cited by 3
- MeasurableSpace.measurableSet_succ_memPartitionproof · cited by 2
- SimpleGraph.disjoint_fromEdgeSetproof · cited by 2
- MeasureTheory.VectorMeasure.of_sdiff_of_sdiff_eq_zeroproof · cited by 2
- Matroid.IsBasis.cardinalMk_eqproof · cited by 2
- integrableOn_peak_smul_of_integrableOn_of_tendstoproof · cited by 2
- SimpleGraph.mulCayley_erase_oneproof · cited by 2
- Matroid.contract_closure_eqproof · cited by 1