Theorems · Theorem · logic and foundations
Set.inter_subset_left
∀ {α : Type u} {s t : Set α}, s ∩ t ⊆ s- Defined in
- Mathlib.Data.Set.Basic
- Cited by
- 360 results in Mathlib
- Foundations
- Depth 6 from the axioms, rests on 16 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
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
Cited by360
Results whose statement or proof uses this declaration.
- Summable.hasSumproof · cited by 184
- MeasureTheory.Measure.restrict_le_selfproof · cited by 57
- nhds_basis_opensproof · cited by 54
- Set.Finite.inter_of_leftproof · cited by 31
- IsCompact.inter_rightproof · cited by 30
- ContMDiffWithinAt.compproof · cited by 18
- ContDiffWithinAt.prodMkproof · cited by 17
- MeasureTheory.VectorMeasure.variation_restrictproof · cited by 14
- TopologicalSpace.IsTopologicalBasis.mem_nhds_iffproof · cited by 13
- Matroid.isBasis'_iff_isBasis_inter_groundproof · cited by 11
- ContMDiffWithinAt.mdifferentiableWithinAtproof · cited by 11
- Set.image2_inter_union_subset_unionproof · cited by 10
Showing the 200 most cited of 360.