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Theorems · Theorem · order theory

Set.bounded_lt_Iio

∀ {α : Type u_1} [inst : Preorder α] (a : α), Set.Bounded (fun x1 x2 => x1 < x2) (Set.Iio a)
Defined in
Mathlib.Order.Bounded
Cited by
3 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Assumes
Preorder
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Set.bounded_le_Iio · cited by 2Set.bounded_le_IioSet.bounded_lt_Ioo · cited by 0Set.bounded_lt_IooSet.bounded_lt_Ico · cited by 0Set.bounded_lt_IcoPreorder · cited by 7952PreorderSet.Iio · cited by 1166Set.IioSet.Bounded · cited by 57Set.BoundedSet.bounded_self · cited by 4Set.bounded_selfSet.bounded_lt_IioCITED BYCITES

Cites4

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Cited by3

Results whose statement or proof uses this declaration.