Theorems · Theorem · order theory
bddBelow_bddAbove_iff_subset_Icc
∀ {α : Type u_1} [inst : Preorder α] {s : Set α}, BddBelow s ∧ BddAbove s ↔ ∃ a b, s ⊆ Set.Icc a b- Defined in
- Mathlib.Order.Bounds.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext, Quot.sound
- Assumes
- Preorder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Cited by1
Results whose statement or proof uses this declaration.
- Set.bdd_below_bdd_above_iff_subset_uIccproof · cited by 0