Theorems · Definition · general topology
Metric.Snowflaking.uniformEquiv
{X : Type u_1} → {α : ℝ} → {hα₀ : 0 < α} → {hα₁ : α ≤ 1} → [inst : UniformSpace X] → Metric.Snowflaking X α hα₀ hα₁ ≃ᵤ XThe natural uniform space equivalence between Snowflaking X α hα hα₁
and the underlying space.
- Defined in
- Mathlib.Topology.MetricSpace.Snowflaking
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- UniformSpace
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.
- Realstatement and proof · cited by 25,697
- Equivproof · cited by 8,337
- UniformSpacestatement and proof · cited by 2,040
- UniformEquivstatement · cited by 80
- Metric.Snowflakingstatement and proof · cited by 65
- Metric.Snowflaking.ofSnowflakingproof · cited by 41
- Metric.Snowflaking.uniformContinuous_ofSnowflakingproof · cited by 0
- Metric.Snowflaking.uniformContinuous_toSnowflakingproof · cited by 0
Cited by3
Results whose statement or proof uses this declaration.
- Metric.Snowflaking.uniformEquiv_applystatement and proof · cited by 0
- Metric.Snowflaking.uniformEquiv_symm_applystatement and proof · cited by 0
- Metric.Snowflaking.uniformEquiv_toEquivstatement and proof · cited by 0