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Theorems · Theorem · logic and foundations

Set.univ_union

∀ {α : Type u} (s : Set α), Set.univ ∪ s = Set.univ
Defined in
Mathlib.Data.Set.Basic
Cited by
2 results in Mathlib
Foundations
Depth 21 from the axioms · uses propext, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

MeasureTheory.union_ae_eq_univ_of_ae_eq_univ_left · cited by 0MeasureTheory.union_ae_eq…NonUnitalStarSubalgebra.centralizer_univ · cited by 0NonUnitalStarSubalgebra.c…Set · cited by 53352SetSet.univ · cited by 3945Set.univtop_sup_eq · cited by 8top_sup_eqSet.univ_unionCITED BYCITES

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.univstatement · cited by 3,945
  • top_sup_eqproof · cited by 8

Cited by2

Results whose statement or proof uses this declaration.