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Theorems · Theorem · general topology

DilationEquiv.ratio_symm

∀ {X : Type u_1} {Y : Type u_2} [inst : PseudoEMetricSpace X] [inst_1 : PseudoEMetricSpace Y] (e : X ≃ᵈ Y),
  Dilation.ratio e.symm = (Dilation.ratio e)⁻¹
Defined in
Mathlib.Topology.MetricSpace.DilationEquiv
Cited by
1 results in Mathlib
Foundations
Depth 158 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PseudoEMetricSpacePseudoEMetricSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

DilationEquiv.ratio_inv · cited by 0DilationEquiv.ratio_invNNReal · cited by 4310NNRealPseudoEMetricSpace · cited by 1536PseudoEMetricSpaceDilationEquiv · cited by 55DilationEquivDilation.ratio · cited by 43Dilation.ratioDilationEquiv.symm · cited by 19DilationEquiv.symmeq_inv_of_mul_eq_one_left · cited by 15eq_inv_of_mul_eq_one_leftDilationEquiv.symm_trans_self · cited by 1DilationEquiv.symm_trans_…DilationEquiv.ratio_refl · cited by 1DilationEquiv.ratio_reflDilationEquiv.ratio_trans · cited by 1DilationEquiv.ratio_transDilationEquiv.ratio_symmCITED BYCITES

Cites9

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Cited by1

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