Theorems · Theorem · order theory
Set.inter_subset
∀ {α : Type u_1} (a b c : Set α), a ∩ b ⊆ c ↔ a ⊆ bᶜ ∪ c- Defined in
- Mathlib.Order.BooleanAlgebra.Set
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 13 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
- Compl.complstatement · cited by 2,925
- imp_iff_not_orproof · cited by 12
Cited by6
Results whose statement or proof uses this declaration.
- MeasureTheory.OuterMeasure.map_iInf_comapproof · cited by 2
- lebesgue_number_lemma_nhdsWithinproof · cited by 1
- MeasureTheory.OuterMeasure.restrict_trimproof · cited by 1
- MeasureTheory.OuterMeasure.map_ofFunctionproof · cited by 1
- lebesgue_number_lemma_nhdsWithin'proof · cited by 1