Theorems · Theorem · logic and foundations
IsClub.union
∀ {α : Type v} {s t : Set α} [inst : LinearOrder α], IsClub s → IsClub t → IsClub (s ∪ t)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- LinearOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- LinearOrderstatement and proof · cited by 8,572
- Set.subset_union_leftproof · cited by 142
- IsClubstatement and proof · cited by 30
- IsClub.isCofinalproof · cited by 7
- IsClub.dirSupClosedproof · cited by 4
- IsCofinal.monoproof · cited by 2
- DirSupClosed.unionproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
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