Theorems · Theorem · order theory
Set.sUnion_union
∀ {α : Type u_1} (S T : Set (Set α)), ⋃₀ (S ∪ T) = ⋃₀ S ∪ ⋃₀ T- Defined in
- Mathlib.Data.Set.Lattice
- Cited by
- 5 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.sUnionstatement · cited by 392
- sSup_unionproof · cited by 5
Cited by5
Results whose statement or proof uses this declaration.
- IsSemilinearSet.unionproof · cited by 3
- closure_sUnion_irreducibleComponents_sdiff_singletonproof · cited by 2
- MeasurableSpace.measurableSet_generateFrom_memPartition_iffproof · cited by 1
- MeasureTheory.IsSetSemiring.sUnion_union_disjointOfDiffUnion_of_subsetproof · cited by 1
- IsProperSemilinearSet.unionproof · cited by 1