Mathlib Map

Theorems · Definition · general topology

DilationEquiv.toEquiv

{X : Type u_1} → {Y : Type u_2} → [inst : PseudoEMetricSpace X] → [inst_1 : PseudoEMetricSpace Y] → X ≃ᵈ Y → X ≃ Y
Defined in
Mathlib.Topology.MetricSpace.DilationEquiv
Cited by
10 results in Mathlib
Foundations
Depth 2 from the axioms · uses no axioms
Assumes
PseudoEMetricSpacePseudoEMetricSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

DilationEquiv.symm · cited by 19DilationEquiv.symmDilationEquiv.trans · cited by 7DilationEquiv.transDilationEquiv.toDilation · cited by 3DilationEquiv.toDilationDilationEquiv.toHomeomorph · cited by 3DilationEquiv.toHomeomorphDilationEquiv.toPerm · cited by 2DilationEquiv.toPermDilationEquiv.toPerm_apply · cited by 1DilationEquiv.toPerm_applyDilationEquiv.apply_symm_apply · cited by 1DilationEquiv.apply_symm_…DilationEquiv.coe_toEquiv · cited by 1DilationEquiv.coe_toEquivDilationEquiv.surjective · cited by 1DilationEquiv.surjectiveDilationEquiv.symm_apply_apply · cited by 1DilationEquiv.symm_apply_…DilationEquiv.bijective · cited by 0DilationEquiv.bijectiveDilationEquiv.edist_eq' · cited by 0DilationEquiv.edist_eq'DilationEquiv.eq_symm_apply · cited by 0DilationEquiv.eq_symm_app…DilationEquiv.injective · cited by 0DilationEquiv.injectiveDilationEquiv.symm_apply_eq · cited by 0DilationEquiv.symm_apply_…Equiv · cited by 8337EquivPseudoEMetricSpace · cited by 1536PseudoEMetricSpaceDilationEquiv · cited by 55DilationEquivDilationEquiv.toEquivCITED BYCITES

Cites3

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

Cited by15

Results whose statement or proof uses this declaration.