Similar.comp_left
∀ {ι : Type u_1} {P₁ : Type u_3} {P₂ : Type u_4} {P₃ : Type u_5} {v₁ : ι → P₁} {v₂ : ι → P₂}
[inst : PseudoEMetricSpace P₁] [inst_1 : PseudoEMetricSpace P₂] [inst_2 : PseudoEMetricSpace P₃] {F : Type u_6}
[inst_3 : FunLike F P₁ P₃] [DilationClass F P₁ P₃] (f : F), Similar v₁ v₂ → Similar (⇑f ∘ v₁) v₂- Defined in
- Mathlib.Topology.MetricSpace.Similarity
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 151 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.
- DFunLike.coestatement · cited by 62,936
- FunLikestatement and proof · cited by 2,560
- PseudoEMetricSpacestatement and proof · cited by 1,536
- Similarstatement and proof · cited by 49
- Dilation.ratioproof · cited by 43
- DilationClassstatement and proof · cited by 41
- Dilation.edist_eqproof · cited by 10
- Dilation.ratio_ne_zeroproof · cited by 4
- Similar.transproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Similar.comp_rightproof · cited by 2
- Similar.comp_left_iffproof · cited by 2
- Similar.comp_isometry_leftproof · cited by 0