Theorems · Theorem · general topology
Metric.Snowflaking.isBounded_image_ofSnowflaking_iff
∀ {X : Type u_1} {α : ℝ} {hα₀ : 0 < α} {hα₁ : α ≤ 1} [inst : Bornology X] {s : Set (Metric.Snowflaking X α hα₀ hα₁)},
Bornology.IsBounded (⇑Metric.Snowflaking.ofSnowflaking '' s) ↔ Bornology.IsBounded s- Defined in
- Mathlib.Topology.MetricSpace.Snowflaking
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Bornology
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.
- DFunLike.coestatement · cited by 62,936
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- Equivstatement · cited by 8,337
- Set.imagestatement · cited by 5,609
- Bornology.IsBoundedstatement · cited by 293
- Bornologystatement and proof · cited by 188
- Metric.Snowflakingstatement and proof · cited by 65
- Metric.Snowflaking.ofSnowflakingstatement · cited by 41
- Bornology.isBounded_inducedproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Metric.Snowflaking.isBounded_image_toSnowflaking_iffproof · cited by 1
- Metric.Snowflaking.isBounded_preimage_toSnowflaking_iffproof · cited by 0