Theorems · Definition
Set.sUnion
{α : Type u} → Set (Set α) → Set αUnion of a set of sets.
- Defined in
- Mathlib.Order.SetNotation
- Cited by
- 392 results in Mathlib
- Foundations
- Depth 5 from the axioms, rests on 13 definitions · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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
- SupSet.sSupproof · cited by 954
Cited by426
Results whose statement or proof uses this declaration.
- interiorproof · cited by 714
- connectedComponentproof · cited by 68
- Set.sUnion_eq_biUnionstatement and proof · cited by 51
- IsSemilinearSetproof · cited by 44
- Set.subset_sUnion_of_memstatement · cited by 39
- Set.sUnion_imagestatement · cited by 28
- Set.sUnion_eq_iUnionstatement and proof · cited by 26
- balancedCoreproof · cited by 18
- Set.sUnion_emptystatement · cited by 17
- Set.sUnion_singletonstatement · cited by 17
- isOpen_sUnionstatement · cited by 15
- TopologicalSpace.extproof · cited by 15
Showing the 200 most cited of 426.