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Theorems · Theorem · general topology

DilationEquiv.symm_trans_self

∀ {X : Type u_1} {Y : Type u_2} [inst : PseudoEMetricSpace X] [inst_1 : PseudoEMetricSpace Y] (e : X ≃ᵈ Y),
  e.symm.trans e = DilationEquiv.refl Y
Defined in
Mathlib.Topology.MetricSpace.DilationEquiv
Cited by
1 results in Mathlib
Foundations
Depth 157 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_symm · cited by 1DilationEquiv.ratio_symmPseudoEMetricSpace · cited by 1536PseudoEMetricSpaceDilationEquiv · cited by 55DilationEquivDilationEquiv.symm · cited by 19DilationEquiv.symmDilationEquiv.refl · cited by 8DilationEquiv.reflDilationEquiv.trans · cited by 7DilationEquiv.transDilationEquiv.ext · cited by 3DilationEquiv.extDilationEquiv.apply_symm_apply · cited by 1DilationEquiv.apply_symm_…DilationEquiv.symm_trans_selfCITED BYCITES

Cites7

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Cited by1

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