Theorems · Theorem · order theory
Finset.Ioi_top
∀ {α : Type u_2} [inst : Preorder α] [inst_1 : LocallyFiniteOrderTop α] [inst_2 : OrderTop α], Finset.Ioi ⊤ = ∅- Defined in
- Mathlib.Order.Interval.Finset.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Finsetstatement · cited by 13,712
- Top.topstatement · cited by 9,680
- Preorderstatement and proof · cited by 7,952
- OrderTopstatement and proof · cited by 493
- LocallyFiniteOrderTopstatement and proof · cited by 114
- Finset.Ioistatement · cited by 106
- isMax_topproof · cited by 12
- Finset.Ioi_eq_emptyproof · cited by 4
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