Theorems · Theorem · order theory
Finset.nonempty_Ici
∀ {α : Type u_2} {a : α} [inst : Preorder α] [inst_1 : LocallyFiniteOrderTop α], (Finset.Ici a).Nonempty- Defined in
- Mathlib.Order.Interval.Finset.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- le_rflproof · cited by 1,558
- Finset.Nonemptystatement · cited by 1,001
- LocallyFiniteOrderTopstatement and proof · cited by 114
- Finset.Icistatement · cited by 105
- Finset.mem_Iciproof · cited by 12
Cited by1
Results whose statement or proof uses this declaration.
- Finset.inf'_Icistatement and proof · cited by 0