Similar.trans
∀ {ι : Type u_1} {P₁ : Type u_3} {P₂ : Type u_4} {P₃ : Type u_5} {v₁ : ι → P₁} {v₂ : ι → P₂} {v₃ : ι → P₃}
[inst : PseudoEMetricSpace P₁] [inst_1 : PseudoEMetricSpace P₂] [inst_2 : PseudoEMetricSpace P₃],
Similar v₁ v₂ → Similar v₂ v₃ → Similar v₁ v₃- 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.
Cites9
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
- mul_assocproof · cited by 1,667
- PseudoEMetricSpacestatement and proof · cited by 1,536
- ENNReal.ofNNRealproof · cited by 1,279
- EDist.edistproof · cited by 735
- mul_ne_zeroproof · cited by 178
- Similarstatement and proof · cited by 49
- ENNReal.coe_mulproof · cited by 33
Cited by2
Results whose statement or proof uses this declaration.
- Similar.comp_leftproof · cited by 3
- Similar.comp_left_iffproof · cited by 2