Theorems · Theorem · order theory
Set.bounded_le_of_bounded_lt
∀ {α : Type u_1} {s : Set α} [inst : Preorder α],
Set.Bounded (fun x1 x2 => x1 < x2) s → Set.Bounded (fun x1 x2 => x1 ≤ x2) s- Defined in
- Mathlib.Order.Bounded
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
- Assumes
- Preorder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Preorderstatement and proof · cited by 7,952
- le_of_ltproof · cited by 1,175
- Set.Boundedstatement and proof · cited by 57
- Set.Bounded.rel_monoproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Set.bounded_le_Iioproof · cited by 2
- Set.bounded_le_iff_bounded_ltproof · cited by 2