Theorems · Theorem · general topology
Set.einfsep_anti
∀ {α : Type u_1} [inst : EDist α] {s t : Set α}, s ⊆ t → t.einfsep ≤ s.einfsep- 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.
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 · cited by 9,879
- EDiststatement and proof · cited by 91
- Set.einfsepstatement · cited by 47
- Set.einfsep_le_edist_of_memproof · cited by 5
- Set.le_einfsepproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- Set.einfsep_insertproof · cited by 1
- Set.Nontrivial.infsep_antiproof · cited by 0