Theorems · Theorem · general topology
dist_triangle4_left
∀ {α : Type u} [inst : PseudoMetricSpace α] (x₁ y₁ x₂ y₂ : α), dist x₂ y₂ ≤ dist x₁ y₁ + (dist x₁ x₂ + dist y₁ y₂)- Defined in
- Mathlib.Topology.MetricSpace.Pseudo.Defs
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PseudoMetricSpace
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- PseudoMetricSpacestatement and proof · cited by 1,550
- Dist.diststatement and proof · cited by 1,539
- add_assocproof · cited by 746
- dist_commproof · cited by 188
- add_left_commproof · cited by 76
- dist_triangle4proof · cited by 5
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