Theorems · Theorem · general topology
Real.cobounded_eq
Deprecated since 2026-04-07Use IsOrderBornology.cobounded_eq instead.
∀ {α : Type u_1} [inst : Bornology α] [inst_1 : LinearOrder α] [IsOrderBornology α] [NoMaxOrder α] [NoMinOrder α],
Bornology.cobounded α = Filter.atBot ⊔ Filter.atTopAlias of IsOrderBornology.cobounded_eq.
- Defined in
- Mathlib.Topology.Instances.Real.Lemmas
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LinearOrderstatement · cited by 8,572
- Filterstatement · cited by 8,121
- Filter.atTopstatement · cited by 2,405
- Filter.atBotstatement · cited by 512
- NoMaxOrderstatement · cited by 340
- NoMinOrderstatement · cited by 247
- Bornologystatement · cited by 188
- Bornology.coboundedstatement · cited by 162
- IsOrderBornologystatement · cited by 20
- IsOrderBornology.cobounded_eqproof · cited by 5
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