Theorems · Theorem · order theory
Set.disjoint_sUnion_left
∀ {α : Type u_1} {S : Set (Set α)} {t : Set α}, Disjoint (⋃₀ S) t ↔ ∀ s ∈ S, Disjoint s t- Defined in
- Mathlib.Data.Set.Lattice
- Cited by
- 4 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.
Cites4
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
- Disjointstatement · cited by 2,201
- Set.sUnionstatement · cited by 392
- sSup_disjoint_iffproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- isStationary_sUnion_iff_of_cof_le_oneproof · cited by 3
- isStationary_sUnion_iffproof · cited by 2
- MeasurableSpace.measurableSet_generateFrom_memPartition_iffproof · cited by 1
- exists_convex_convex_compl_subsetproof · cited by 0