Theorems · Theorem · order theory
Set.subset_sInter
∀ {α : Type u_1} {S : Set (Set α)} {t : Set α}, (∀ t' ∈ S, t ⊆ t') → t ⊆ ⋂₀ S- Defined in
- Mathlib.Data.Set.Lattice
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 60 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
- Set.sInterstatement · cited by 225
- le_sInfproof · cited by 51
Cited by8
Results whose statement or proof uses this declaration.
- subset_closureproof · cited by 309
- Matroid.closure_subset_closureproof · cited by 24
- Matroid.closure_closureproof · cited by 14
- Set.sInter_subset_sInterproof · cited by 5
- AlgebraicIndependent.matroid_closure_of_subsingletonproof · cited by 1
- Filter.mem_countableGenerate_iffproof · cited by 1
- Disjoint.hasSeparatingCover_closed_gdelta_rightproof · cited by 0
- Filter.mem_cardinalGenerate_iffproof · cited by 0