Theorems · Theorem · general topology
edist_pos
∀ {γ : Type w} [inst : EMetricSpace γ] {x y : γ}, 0 < edist x y ↔ x ≠ y- Defined in
- Mathlib.Topology.EMetricSpace.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 128 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- EMetricSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- ENNRealstatement · cited by 9,879
- EDist.ediststatement · cited by 735
- EMetricSpacestatement and proof · cited by 242
Cited by2
Results whose statement or proof uses this declaration.
- MemHolder.holderWithproof · cited by 7
- Set.einfsep_pos_of_finiteproof · cited by 4