Theorems · Theorem · general topology
Metric.infEDist_vadd
∀ {α : Type u} [inst : PseudoEMetricSpace α] {M : Type u_2} [inst_1 : VAdd M α] [IsIsometricVAdd M α] (c : M) (x : α)
(s : Set α), Metric.infEDist (c +ᵥ x) (c +ᵥ s) = Metric.infEDist x s- Cited by
- 1 results in Mathlib
- Foundations
- Depth 150 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- HVAdd.hVAddstatement · cited by 1,820
- PseudoEMetricSpacestatement and proof · cited by 1,536
- VAddstatement and proof · cited by 616
- Set.vaddSetstatement · cited by 403
- Metric.infEDiststatement · cited by 147
- IsIsometricVAddstatement and proof · cited by 74
- IsIsometricVAdd.isometry_vaddproof · cited by 10
- Metric.infEDist_imageproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- EMetric.infEdist_vaddproof · cited by 0