Theorems · Theorem · general topology
IsOrderBornology.atTop_le_cobounded
∀ {α : Type u_1} [inst : Bornology α] [inst_1 : Preorder α] [IsOrderBornology α] [NoMaxOrder α],
Filter.atTop ≤ Bornology.cobounded α- Defined in
- Mathlib.Topology.Order.Bornology
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Filterstatement · cited by 8,121
- Preorderstatement and proof · cited by 7,952
- Set.ofPredproof · cited by 6,101
- LE.le.transproof · cited by 3,151
- Compl.complproof · cited by 2,925
- Filter.atTopstatement · cited by 2,405
- NoMaxOrderstatement and proof · cited by 340
- Filter.mem_of_supersetproof · cited by 308
- LT.lt.not_geproof · cited by 305
- upperBoundsproof · cited by 263
- compl_complproof · cited by 229
Cited by4
Results whose statement or proof uses this declaration.
- IsOrderBornology.cobounded_eqproof · cited by 5
- IsOrderBornology.atBot_le_coboundedproof · cited by 2
- IsOrderBornology.cobounded_eq_atTopproof · cited by 1
- Real.not_continuousAt_log_log_zeroproof · cited by 1