Theorems · Theorem · order theory
Set.bounded_gt_Ici
∀ {α : Type u_1} [inst : Preorder α] [NoMinOrder α] (a : α), Set.Bounded (fun x1 x2 => x1 > x2) (Set.Ici a)- Defined in
- Mathlib.Order.Bounded
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
- Assumes
- PreorderNoMinOrder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Set.Icistatement · cited by 1,070
- NoMinOrderstatement and proof · cited by 247
- Set.Boundedstatement · cited by 57
Cited by2
Results whose statement or proof uses this declaration.
- Set.bounded_gt_Icoproof · cited by 0
- Set.bounded_gt_Iccproof · cited by 0