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Theorems · Theorem · order theory

Set.bounded_ge_Ioi

∀ {α : Type u_1} [inst : Preorder α] (a : α), Set.Bounded (fun x1 x2 => x1 ≥ x2) (Set.Ioi a)
Defined in
Mathlib.Order.Bounded
Cited by
2 results in Mathlib
Foundations
Depth 7 from the axioms · uses no axioms
Assumes
Preorder
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Around this declaration

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Set.bounded_ge_Ioo · cited by 0Set.bounded_ge_IooSet.bounded_ge_Ioc · cited by 0Set.bounded_ge_IocPreorder · cited by 7952PreorderSet.Ioi · cited by 1463Set.IoiSet.Bounded · cited by 57Set.BoundedSet.bounded_gt_Ioi · cited by 3Set.bounded_gt_IoiSet.bounded_ge_of_bounded_gt · cited by 1Set.bounded_ge_of_bounded…Set.bounded_ge_IoiCITED BYCITES

Cites5

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Cited by2

Results whose statement or proof uses this declaration.