Theorems · Theorem · order theory
Set.sInter_eq_biInter
∀ {α : Type u_1} {s : Set (Set α)}, ⋂₀ s = ⋂ i ∈ s, i- Defined in
- Mathlib.Data.Set.Lattice
- Cited by
- 23 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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.iInterstatement · cited by 1,084
- Set.sInterstatement and proof · cited by 225
- Set.image_id'proof · cited by 86
- Set.sInter_imageproof · cited by 26
Cited by23
Results whose statement or proof uses this declaration.
- Filter.sInter_memproof · cited by 6
- Set.preimage_sInterproof · cited by 4
- nhdsKer_defproof · cited by 4
- MeasurableSet.sInterproof · cited by 4
- Filter.HasBasis.kerproof · cited by 4
- Set.image2_sInter_subset_rightproof · cited by 3
- Set.image2_sInter_subset_leftproof · cited by 3
- Set.image_sInter_subsetproof · cited by 2
- Set.sInter_iUnionproof · cited by 2
- Filter.ker_defproof · cited by 1
- Filter.iInter_mem'proof · cited by 1
- TopologicalSpace.exists_countable_of_generateFromproof · cited by 1