Theorems · Definition · general topology
DilationEquiv.refl
(X : Type u_4) → [inst : PseudoEMetricSpace X] → X ≃ᵈ X
Identity map as a DilationEquiv.
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 149 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PseudoEMetricSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivproof · cited by 8,337
- PseudoEMetricSpacestatement and proof · cited by 1,536
- Equiv.reflproof · cited by 274
- DilationEquivstatement · cited by 55
Cited by8
Results whose statement or proof uses this declaration.
- DilationEquiv.symm_trans_selfstatement · cited by 1
- DilationEquiv.ratio_reflstatement · cited by 1
- DilationEquiv.one_defstatement · cited by 0
- DilationEquiv.trans_reflstatement · cited by 0
- DilationEquiv.refl_applystatement and proof · cited by 0
- DilationEquiv.refl_symmstatement · cited by 0
- DilationEquiv.refl_transstatement · cited by 0
- DilationEquiv.self_trans_symmstatement · cited by 0