Theorems · Theorem · general topology
Set.Finite.einfsep
∀ {α : Type u_1} [inst : EDist α] {s : Set α} (hs : s.Finite), s.einfsep = ⋯.toFinset.inf (Function.uncurry edist)- Defined in
- Mathlib.Topology.MetricSpace.Infsep
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 129 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- EDist
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Cites11
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
- Set.Finitestatement and proof · cited by 1,814
- EDist.ediststatement and proof · cited by 735
- Set.Finite.toFinsetstatement and proof · cited by 351
- Finset.infstatement and proof · cited by 219
- EDiststatement and proof · cited by 91
- eq_of_forall_le_iffproof · cited by 65
- Set.einfsepstatement · cited by 47
- Set.offDiagstatement · cited by 35
- Set.Finite.offDiagstatement and proof · cited by 4
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