Mathlib Map

Theorems · Definition · general topology

Dilation.id

(α : Type u_5) → [inst : PseudoEMetricSpace α] → α →ᵈ α

The identity is a dilation

Defined in
Mathlib.Topology.MetricSpace.Dilation
Cited by
5 results in Mathlib
Foundations
Depth 149 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PseudoEMetricSpace
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Around this declaration

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

Dilation.ratio_id · cited by 2Dilation.ratio_idDilation.one_def · cited by 0Dilation.one_defDilation.id_comp · cited by 0Dilation.id_compDilation.comp_id · cited by 0Dilation.comp_idDilation.coe_id · cited by 0Dilation.coe_idPseudoEMetricSpace · cited by 1536PseudoEMetricSpaceDilation · cited by 44DilationDilation.idCITED BYCITES

Cites2

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

Cited by5

Results whose statement or proof uses this declaration.