Theorems · Theorem · order theory
Set.sUnion_range
∀ {β : Type u_2} {ι : Sort u_5} (f : ι → Set β), ⋃₀ Set.range f = ⋃ x, f x- Defined in
- Mathlib.Data.Set.Lattice
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
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
- Set.rangestatement · cited by 4,705
- Set.iUnionstatement · cited by 2,483
- Set.sUnionstatement · cited by 392
Cited by13
Results whose statement or proof uses this declaration.
- MeasureTheory.measure_iUnion_null_iffproof · cited by 13
- IsSemilinearSet.iUnionproof · cited by 1
- isCofinal_of_isCofinal_iUnionproof · cited by 1
- isStationary_iUnion_iff_of_cof_le_oneproof · cited by 1
- precise_refinementproof · cited by 1
- isStationary_iUnion_iffproof · cited by 0
- closure_iUnion_of_finiteproof · cited by 0
- DirSupInacc.iUnionproof · cited by 0
- Bornology.isBounded_iUnionproof · cited by 0
- nhdsWithin_iUnionproof · cited by 0
- DirSupInaccOn.iUnionproof · cited by 0
- asymptoticCone_iUnion_of_finiteproof · cited by 0