Theorems · Theorem · general topology
edist_triangle_right
∀ {α : Type u} [inst : PseudoEMetricSpace α] (x y z : α), edist x y ≤ edist x z + edist y z- Defined in
- Mathlib.Topology.EMetricSpace.Defs
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 113 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.
Cites5
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
- PseudoEMetricSpacestatement and proof · cited by 1,536
- EDist.ediststatement and proof · cited by 735
- PseudoEMetricSpace.edist_commproof · cited by 52
- PseudoEMetricSpace.edist_triangleproof · cited by 24
Cited by5
Results whose statement or proof uses this declaration.
- MeasureTheory.SimpleFunc.edist_approxOn_y0_leproof · cited by 2
- Metric.ediam_closedEBall_leproof · cited by 2
- Metric.ediam_cthickening_leproof · cited by 2
- MeasureTheory.lintegral_edist_triangleproof · cited by 1
- VitaliFamily.ae_tendsto_lintegral_enorm_sub_div'_of_integrableproof · cited by 1