Theorems · Theorem · order theory
isCofinal_iff_top_mem
∀ {α : Type u_1} [inst : PartialOrder α] [inst_1 : OrderTop α] {s : Set α}, IsCofinal s ↔ ⊤ ∈ s- Defined in
- Mathlib.Order.Cofinal
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses no axioms
- Assumes
- PartialOrderOrderTop
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Top.topstatement and proof · cited by 9,680
- PartialOrderstatement and proof · cited by 6,410
- OrderTopstatement and proof · cited by 493
- le_topproof · cited by 411
- IsCofinalstatement · cited by 84
- IsCofinal.top_memproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- IsClub.sInter_of_orderTopproof · cited by 2