Theorems · Theorem · order theory
Set.disjoint_of_subset
∀ {α : Type u} {s₁ s₂ t₁ t₂ : Set α}, s₁ ⊆ s₂ → t₁ ⊆ t₂ → Disjoint s₂ t₂ → Disjoint s₁ t₁- Defined in
- Mathlib.Data.Set.Disjoint
- Cited by
- 7 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.monoproof · cited by 69
Cited by7
Results whose statement or proof uses this declaration.
- MeasureTheory.IsSetSemiring.pairwiseDisjoint_union_disjointOfDiffUnionproof · cited by 1
- hasSeparatingCovers_iff_separatedNhdsproof · cited by 1
- Sion.exists_lt_iInf_of_lt_iInf_of_supproof · cited by 1
- Equiv.Perm.disjoint_support_closure_of_disjoint_supportproof · cited by 1
- MeasureTheory.Measure.haar.chaar_sup_eqproof · cited by 0
- HasSeparatingCover.monoproof · cited by 0
- MeasureTheory.Measure.haar.addCHaar_sup_eqproof · cited by 0