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Theorems · Definition · general topology

Metric.Snowflaking.toSnowflaking

{X : Type u_1} → {α : ℝ} → {hα₀ : 0 < α} → {hα₁ : α ≤ 1} → X ≃ Metric.Snowflaking X α hα₀ hα₁

The natural equivalence between X and Snowflaking X α hr₀ hr₁.

Defined in
Mathlib.Topology.MetricSpace.Snowflaking
Cited by
41 results in Mathlib
Foundations
Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Metric.Snowflaking.image_ofSnowflaking_eq_preimage · cited by 6Snowflaking.image_ofSnowf…Metric.Snowflaking.image_toSnowflaking_eq_preimage · cited by 6Snowflaking.image_toSnowf…Metric.Snowflaking.toSnowflaking_ofSnowflaking · cited by 4Snowflaking.toSnowflaking…Metric.Snowflaking.preimage_toSnowflaking_closedEBall · cited by 2Snowflaking.preimage_toSn…Metric.Snowflaking.preimage_toSnowflaking_eball · cited by 2Snowflaking.preimage_toSn…Metric.Snowflaking.image_toSnowflaking_closedEBall · cited by 2Snowflaking.image_toSnowf…Metric.Snowflaking.image_toSnowflaking_eball · cited by 2Snowflaking.image_toSnowf…Metric.Snowflaking.preimage_ofSnowflaking_closedEBall · cited by 2Snowflaking.preimage_ofSn…Metric.Snowflaking.preimage_ofSnowflaking_eball · cited by 2Snowflaking.preimage_ofSn…Metric.Snowflaking.preimage_toSnowflaking_ball · cited by 1Snowflaking.preimage_toSn…Metric.Snowflaking.preimage_toSnowflaking_closedBall · cited by 1Snowflaking.preimage_toSn…Metric.Snowflaking.casesOn_toSnowflaking · cited by 1Snowflaking.casesOn_toSno…Metric.Snowflaking.ediam_preimage_toSnowflaking · cited by 1Snowflaking.ediam_preimag…Metric.Snowflaking.image_ofSnowflaking_image_toSnowflaking · cited by 1Snowflaking.image_ofSnowf…Metric.Snowflaking.image_toSnowflaking_ball · cited by 1Snowflaking.image_toSnowf…Real · cited by 25697RealEquiv · cited by 8337EquivEquiv.symm · cited by 3681Equiv.symmMetric.Snowflaking · cited by 65Metric.SnowflakingMetric.Snowflaking.ofSnowflaking · cited by 41Snowflaking.ofSnowflakingSnowflaking.toSnowflakingCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by42

Results whose statement or proof uses this declaration.