Theorems · Theorem · order theory
Set.disjoint_of_subset_left
∀ {α : Type u} {s t u : Set α}, s ⊆ u → Disjoint u t → Disjoint s t- Defined in
- Mathlib.Data.Set.Disjoint
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, 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
- Disjointstatement and proof · cited by 2,201
- Disjoint.mono_leftproof · cited by 50
Cited by17
Results whose statement or proof uses this declaration.
- Matroid.Indep.contract_indep_iffproof · cited by 9
- MeasureTheory.JordanDecomposition.toSignedMeasure_injectiveproof · cited by 6
- Set.ncard_inter_add_ncard_sdiff_eq_ncardproof · cited by 4
- Subalgebra.spectrum_sUnion_connectedComponentInproof · cited by 2
- MeasureTheory.VectorMeasure.of_sdiff_of_sdiff_eq_zeroproof · cited by 2
- IsClosed.two_pow_mk_le_two_pow_mk_denseproof · cited by 2
- Besicovitch.exists_disjoint_closedBall_covering_ae_of_finiteMeasure_auxproof · cited by 1
- Matroid.isBase_compl_iff_maximal_disjoint_isBaseproof · cited by 1
- SeparatedNhds.of_isClosed_isCompact_closure_compl_isClosedproof · cited by 1
- MeasureTheory.SignedMeasure.of_symmDiff_compl_positive_negativeproof · cited by 1
- Matroid.IsBase.compl_inter_isBasis_of_inter_isBasisproof · cited by 1