Theorems · Theorem · order theory
Set.iUnion_of_singleton_coe
∀ {α : Type u_1} (s : Set α), ⋃ i, {↑i} = s- Defined in
- Mathlib.Data.Set.Lattice
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 19 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
- Set.Elemstatement · cited by 7,166
- Set.iUnionstatement · cited by 2,483
- Subtype.range_coe_subtypeproof · cited by 170
- Set.iUnion_singleton_eq_rangeproof · cited by 26
Cited by6
Results whose statement or proof uses this declaration.
- DiscreteTopology.of_finite_of_isClosed_singletonproof · cited by 1
- FormalMultilinearSeries.changeOrigin_eval_of_finiteproof · cited by 1
- ScottContinuousOn.fromProdproof · cited by 1
- AlgebraicGeometry.Polynomial.isOpenMap_comap_Cproof · cited by 0
- isNoetherian_of_finite_isArtinianproof · cited by 0
- Polynomial.isCompact_image_comap_of_monicproof · cited by 0