Theorems · Theorem · general topology
IsOrderBornology.atBot_le_cobounded
∀ {α : Type u_1} [inst : Bornology α] [inst_1 : Preorder α] [IsOrderBornology α] [NoMinOrder α],
Filter.atBot ≤ Bornology.cobounded α- Defined in
- Mathlib.Topology.Order.Bornology
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Filterstatement · cited by 8,121
- Preorderstatement and proof · cited by 7,952
- Filter.atBotstatement · cited by 512
- NoMinOrderstatement and proof · cited by 247
- Bornologystatement and proof · cited by 188
- Bornology.coboundedstatement · cited by 162
- IsOrderBornologystatement and proof · cited by 20
- IsOrderBornology.atTop_le_coboundedproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- IsOrderBornology.cobounded_eqproof · cited by 5
- Real.not_continuousAt_log_log_oneproof · cited by 2