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Theorems · Theorem · general topology

DilationEquiv.ratio_refl

∀ {X : Type u_1} [inst : PseudoEMetricSpace X], Dilation.ratio (DilationEquiv.refl X) = 1
Defined in
Mathlib.Topology.MetricSpace.DilationEquiv
Cited by
1 results in Mathlib
Foundations
Depth 154 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.

DilationEquiv.ratioHom · cited by 2DilationEquiv.ratioHomDilationEquiv.ratio_symm · cited by 1DilationEquiv.ratio_symmNNReal · cited by 4310NNRealPseudoEMetricSpace · cited by 1536PseudoEMetricSpaceDilationEquiv · cited by 55DilationEquivDilation.ratio · cited by 43Dilation.ratioDilationEquiv.refl · cited by 8DilationEquiv.reflDilation.ratio_id · cited by 2Dilation.ratio_idDilationEquiv.ratio_reflCITED BYCITES

Cites6

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Cited by2

Results whose statement or proof uses this declaration.