Theorems · Theorem · order theory
Set.iInter_plift_down
∀ {α : Type u_1} {ι : Sort u_5} (f : ι → Set α), ⋂ i, f i.down = ⋂ i, f i- Defined in
- Mathlib.Data.Set.Lattice
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 17 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.iInterstatement · cited by 1,084
- iInf_plift_downproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Filter.iInf_principalproof · cited by 1
- Matroid.Indep.inter_isBasis_iInterproof · cited by 0