Theorems · Theorem · general topology
Nonempty.of_isOrderBornology
∀ (α : Type u_1) [inst : Bornology α] [inst_1 : Preorder α] [IsOrderBornology α], Nonempty α
- Defined in
- Mathlib.Topology.Order.Bornology
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Preorderstatement and proof · cited by 7,952
- Bornologystatement and proof · cited by 188
- IsOrderBornologystatement and proof · cited by 20
- Bornology.IsBounded.bddBelowproof · cited by 9
- Bornology.isBounded_emptyproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- IsOrderBornology.cobounded_le_atBot_sup_atTopproof · cited by 1