Theorems · Theorem · general topology
Fin.edist_append_eq_max_edist
∀ {α : Type u} [inst : PseudoEMetricSpace α] (m n : ℕ) {x x2 : Fin m → α} {y y2 : Fin n → α},
edist (Fin.append x y) (Fin.append x2 y2) = max (edist x x2) (edist y y2)- Defined in
- Mathlib.Topology.MetricSpace.Isometry
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 147 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.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealstatement and proof · cited by 9,879
- iSupproof · cited by 2,415
- PseudoEMetricSpacestatement and proof · cited by 1,536
- EDist.ediststatement and proof · cited by 735
- SupSetproof · cited by 154
- Fin.appendstatement and proof · cited by 50
- finSumFinEquivproof · cited by 33
- Fin.append_leftproof · cited by 17
- Fin.append_rightproof · cited by 16
- Equiv.iSup_compproof · cited by 14
- Finset.sup_univ_eq_iSupproof · cited by 3
- iSup_sumproof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.