Mathlib Map

Theorems · Definition · general topology

DilationEquiv.symm

{X : Type u_1} → {Y : Type u_2} → [inst : PseudoEMetricSpace X] → [inst_1 : PseudoEMetricSpace Y] → X ≃ᵈ Y → Y ≃ᵈ X

Inverse DilationEquiv.

Defined in
Mathlib.Topology.MetricSpace.DilationEquiv
Cited by
19 results in Mathlib
Foundations
Depth 154 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_symmDilationEquiv.symm_apply_apply · cited by 1DilationEquiv.symm_apply_…DilationEquiv.symm_symm · cited by 1DilationEquiv.symm_symmDilationEquiv.symm_trans_self · cited by 1DilationEquiv.symm_trans_…DilationEquiv.apply_symm_apply · cited by 1DilationEquiv.apply_symm_…DilationEquiv.mulLeft_symm_apply · cited by 0DilationEquiv.mulLeft_sym…DilationEquiv.mulRight_symm_apply · cited by 0DilationEquiv.mulRight_sy…DilationEquiv.Simps.symm_apply · cited by 0Simps.symm_applyDilationEquiv.refl_symm · cited by 0DilationEquiv.refl_symmDilationEquiv.self_trans_symm · cited by 0DilationEquiv.self_trans_…DilationEquiv.smulTorsor_symm_apply · cited by 0DilationEquiv.smulTorsor_…IsometryEquiv.coe_symm_toDilationEquiv · cited by 0IsometryEquiv.coe_symm_to…DilationEquiv.symm_apply_eq · cited by 0DilationEquiv.symm_apply_…DilationEquiv.symm_bijective · cited by 0DilationEquiv.symm_biject…DilationEquiv.toHomeomorph_symm · cited by 0DilationEquiv.toHomeomorp…Equiv · cited by 8337EquivEquiv.symm · cited by 3681Equiv.symmPseudoEMetricSpace · cited by 1536PseudoEMetricSpaceDilationEquiv · cited by 55DilationEquivDilationEquiv.toEquiv · cited by 10DilationEquiv.toEquivDilationEquiv.symmCITED BYCITES

Cites5

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

Cited by20

Results whose statement or proof uses this declaration.