Theorems · Theorem · general topology
dist_pi_const_le
∀ {α : Type u_1} {β : Type u_2} [inst : PseudoMetricSpace α] [inst_1 : Fintype β] (a b : α),
(dist (fun x => a) fun x => b) ≤ dist a b- Defined in
- Mathlib.Topology.MetricSpace.Pseudo.Pi
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 155 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PseudoMetricSpaceFintype
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Fintypestatement and proof · cited by 7,736
- le_rflproof · cited by 1,558
- PseudoMetricSpacestatement and proof · cited by 1,550
- Dist.diststatement · cited by 1,539
- dist_nonnegproof · cited by 126
- dist_pi_le_iffproof · cited by 10
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