Theorems · Theorem · general topology
Dilation.comap_cobounded
∀ {α : Type u_1} {β : Type u_2} {F : Type u_4} [inst : PseudoMetricSpace α] [inst_1 : PseudoMetricSpace β]
[inst_2 : FunLike F α β] [DilationClass F α β] (f : F),
Filter.comap (⇑f) (Bornology.cobounded β) = Bornology.cobounded α- Defined in
- Mathlib.Topology.MetricSpace.Dilation
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 157 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Filterstatement · cited by 8,121
- FunLikestatement and proof · cited by 2,560
- le_antisymmproof · cited by 2,068
- PseudoMetricSpacestatement and proof · cited by 1,550
- Filter.comapstatement · cited by 546
- Bornology.coboundedstatement · cited by 162
- DilationClassstatement and proof · cited by 41
- Filter.Tendsto.le_comapproof · cited by 28
- Dilation.lipschitzproof · cited by 6
- LipschitzWith.comap_cobounded_leproof · cited by 3
- Dilation.tendsto_coboundedproof · cited by 1
Cited by3
Results whose statement or proof uses this declaration.
- DilationEquiv.map_coboundedproof · cited by 2
- Filter.comap_mul_left_coboundedproof · cited by 0
- Filter.comap_mul_right_coboundedproof · cited by 0