Theorems · Theorem · general topology
Inseparable.dist_eq_zero
∀ {α : Type u} [inst : PseudoMetricSpace α] {x y : α}, Inseparable x y → dist x y = 0Alias of the forward direction of Metric.inseparable_iff.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 150 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PseudoMetricSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- PseudoMetricSpacestatement and proof · cited by 1,550
- Dist.diststatement · cited by 1,539
- Inseparablestatement · cited by 160
- Metric.inseparable_iffproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- tendsto_nhds_unique_distproof · cited by 0