Theorems · Theorem · general topology
dist_triangle_max
∀ {X : Type u_1} [inst : PseudoMetricSpace X] [IsUltrametricDist X] (x y z : X), dist x z ≤ max (dist x y) (dist y z)- Defined in
- Mathlib.Topology.MetricSpace.Ultra.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- PseudoMetricSpacestatement and proof · cited by 1,550
- Dist.diststatement · cited by 1,539
- IsUltrametricDiststatement and proof · cited by 177
- IsUltrametricDist.dist_triangle_maxproof · cited by 8
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