Theorems · Theorem · general topology
Set.le_einfsep
∀ {α : Type u_1} [inst : EDist α] {s : Set α} {d : ENNReal}, (∀ x ∈ s, ∀ y ∈ s, x ≠ y → d ≤ edist x y) → d ≤ s.einfsep- Defined in
- Mathlib.Topology.MetricSpace.Infsep
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 128 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- EDist
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- ENNRealstatement and proof · cited by 9,879
- EDist.ediststatement and proof · cited by 735
- EDiststatement and proof · cited by 91
- Set.einfsepstatement · cited by 47
- Set.le_einfsep_iffproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- Set.einfsep_antiproof · cited by 2
- Set.le_einfsep_of_forall_dist_leproof · cited by 0
- Set.le_einfsep_pi_of_leproof · cited by 0