Theorems · Theorem · general topology
Set.einfsep_pair_le_left
∀ {α : Type u_1} [inst : EDist α] {x y : α}, x ≠ y → {x, y}.einfsep ≤ edist x y- Defined in
- Mathlib.Topology.MetricSpace.Infsep
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 130 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.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- ENNRealstatement · cited by 9,879
- EDist.ediststatement · cited by 735
- Set.mem_singletonproof · cited by 183
- Set.mem_insertproof · cited by 109
- EDiststatement and proof · cited by 91
- Set.mem_insert_of_memproof · cited by 50
- Set.einfsepstatement · cited by 47
- Set.einfsep_le_edist_of_memproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- Set.einfsep_pair_eq_infproof · cited by 2
- Set.einfsep_pair_le_rightproof · cited by 1