Theorems · Theorem · general topology
IsOrderBornology.cobounded_eq
∀ {α : Type u_1} [inst : Bornology α] [inst_1 : LinearOrder α] [IsOrderBornology α] [NoMaxOrder α] [NoMinOrder α],
Bornology.cobounded α = Filter.atBot ⊔ Filter.atTop- Defined in
- Mathlib.Topology.Order.Bornology
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LinearOrderstatement and proof · cited by 8,572
- Filterstatement · cited by 8,121
- Filter.atTopstatement · cited by 2,405
- Filter.atBotstatement · cited by 512
- LE.le.antisymmproof · cited by 507
- NoMaxOrderstatement and proof · cited by 340
- NoMinOrderstatement and proof · cited by 247
- Bornologystatement and proof · cited by 188
- Bornology.coboundedstatement · cited by 162
- sup_leproof · cited by 159
- IsOrderBornologystatement and proof · cited by 20
- IsOrderBornology.atTop_le_coboundedproof · cited by 4
Cited by5
Results whose statement or proof uses this declaration.
- Real.tendsto_one_add_rpow_exp_of_tendstoproof · cited by 2
- Real.tendsto_mul_log_one_add_of_tendstoproof · cited by 2
- Polynomial.finite_abs_eval_le_of_degree_ltproof · cited by 1
- Int.cobounded_eqproof · cited by 0
- Real.cobounded_eqproof · cited by 0