Theorems · Definition · general topology
NNDist.nndist
{α : Type u_3} → [self : NNDist α] → α → α → NNRealNonnegative distance between two points
- Defined in
- Mathlib.Topology.MetricSpace.Pseudo.Defs
- Cited by
- 235 results in Mathlib
- Foundations
- Depth 96 from the axioms, rests on 1,955 definitions · uses propext, Classical.choice, Quot.sound
- Assumes
- NNDist
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Cited by237
Results whose statement or proof uses this declaration.
- edist_nndiststatement and proof · cited by 38
- BoxIntegral.Box.distortionproof · cited by 21
- nndist_eq_nnnormstatement · cited by 11
- BoundedContinuousFunction.lintegral_lt_top_of_nnrealproof · cited by 11
- dist_nndiststatement · cited by 10
- lipschitzWith_iff_dist_le_mulproof · cited by 10
- nndist_commstatement · cited by 8
- Isometry.nndist_eqstatement · cited by 7
- Metric.inseparable_iffproof · cited by 6
- nndist_pi_le_iffstatement and proof · cited by 4
- nndist_zero_rightstatement · cited by 4
- coe_nndiststatement · cited by 4
Showing the 200 most cited of 237.