Theorems · Theorem · order theory
Set.sInter_union_sInter
∀ {α : Type u_1} {S T : Set (Set α)}, ⋂₀ S ∪ ⋂₀ T = ⋂ p ∈ S ×ˢ T, p.1 ∪ p.2- Defined in
- Mathlib.Data.Set.Lattice
- Cited by
- 1 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.
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
- SProd.sprodstatement · cited by 1,750
- Set.iInterstatement · cited by 1,084
- Set.sInterstatement · cited by 225
- sInf_sup_sInfproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- IsGδ.unionproof · cited by 2