Theorems · Theorem · logic and foundations
Set.inter_subset_inter_right
∀ {α : Type u} {s t : Set α} (u : Set α), s ⊆ t → u ∩ s ⊆ u ∩ t- Defined in
- Mathlib.Data.Set.Basic
- Cited by
- 26 results in Mathlib
- Foundations
- Depth 22 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
- Set.Subset.rflproof · cited by 255
- Set.inter_subset_interproof · cited by 66
Cited by26
Results whose statement or proof uses this declaration.
- Set.image_sdiffproof · cited by 24
- MeasureTheory.lintegral_iSupproof · cited by 16
- LowerSemicontinuousOn.exists_isMinOnproof · cited by 6
- exists_partition_approximatesLinearOn_of_hasFDerivWithinAtproof · cited by 5
- LocallyFinite.closureproof · cited by 5
- ContinuousOn.ifproof · cited by 4
- ContMDiffWithinAt.mfderivWithinproof · cited by 3
- MeasureTheory.Measure.restrict_iUnion_apply_eq_iSupproof · cited by 3
- IsPreconnected.biUnion_of_reflTransGenproof · cited by 3
- isClopen_inter_of_disjoint_cover_clopenproof · cited by 3
- MeasureTheory.withDensity_apply_eq_zero'proof · cited by 2