Theorems · Definition · geometry
Similar
{ι : Type u_1} →
{P₁ : Type u_3} → {P₂ : Type u_4} → [PseudoEMetricSpace P₁] → [PseudoEMetricSpace P₂] → (ι → P₁) → (ι → P₂) → PropSimilarity between indexed sets of vertices v₁ and v₂.
Use open scoped Similar to access the v₁ ∼ v₂ notation.
- Defined in
- Mathlib.Topology.MetricSpace.Similarity
- Cited by
- 49 results in Mathlib
- Foundations
- Depth 147 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- NNRealproof · cited by 4,310
- PseudoEMetricSpacestatement and proof · cited by 1,536
- ENNReal.ofNNRealproof · cited by 1,279
- EDist.edistproof · cited by 735
Cited by49
Results whose statement or proof uses this declaration.
- Similar.comm_leftstatement and proof · cited by 3
- Similar.comp_leftstatement and proof · cited by 3
- similar_iff_exists_dist_eqstatement · cited by 3
- similar_iff_exists_edist_eqstatement · cited by 3
- similar_iff_exists_nndist_eqstatement · cited by 3
- similar_iff_exists_pos_dist_eqstatement · cited by 3
- similar_iff_exists_pos_pairwise_dist_eqstatement · cited by 3
- Similar.comm_rightstatement and proof · cited by 2
- Similar.comp_left_iffstatement · cited by 2
- Similar.comp_rightstatement and proof · cited by 2
- Similar.symmstatement and proof · cited by 2
- Similar.transstatement and proof · cited by 2