Similar.symm
∀ {ι : Type u_1} {P₁ : Type u_3} {P₂ : Type u_4} {v₁ : ι → P₁} {v₂ : ι → P₂} [inst : PseudoEMetricSpace P₁]
[inst_1 : PseudoEMetricSpace P₂], Similar v₁ v₂ → Similar v₂ v₁- Defined in
- Mathlib.Topology.MetricSpace.Similarity
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 148 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealproof · cited by 9,879
- NNRealproof · cited by 4,310
- Nat.cast_zeroproof · cited by 1,870
- PseudoEMetricSpacestatement and proof · cited by 1,536
- ENNReal.ofNNRealproof · cited by 1,279
- EDist.edistproof · cited by 735
- ENNReal.coe_ne_topproof · cited by 100
- inv_ne_zeroproof · cited by 99
- Similarstatement and proof · cited by 49
- ENNReal.coe_invproof · cited by 27
- ENNReal.div_eq_inv_mulproof · cited by 18
- ENNReal.eq_div_iffproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- Similar.comp_rightproof · cited by 2
- similar_commproof · cited by 1