Theorems · Definition · convex and discrete geometry
Delone.DeloneSet.copy
{X : Type u_1} →
[inst : MetricSpace X] →
(D : Delone.DeloneSet X) →
(carrier : Set X) →
(packingRadius coveringRadius : NNReal) →
carrier = D.carrier → packingRadius = D.packingRadius → coveringRadius = D.coveringRadius → Delone.DeloneSet XCopy of a Delone set with new fields equal to the old ones. Useful to fix definitional equalities.
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 154 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MetricSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- NNRealstatement and proof · cited by 4,310
- MetricSpacestatement and proof · cited by 1,684
- Delone.DeloneSetstatement and proof · cited by 34
- Delone.DeloneSet.packingRadiusstatement and proof · cited by 16
- Delone.DeloneSet.carrierstatement and proof · cited by 15
- Delone.DeloneSet.coveringRadiusstatement and proof · cited by 14
Cited by4
Results whose statement or proof uses this declaration.
- Delone.DeloneSet.mapIsometryproof · cited by 9
- Delone.DeloneSet.copy_eqstatement · cited by 0
- Delone.DeloneSet.mapIsometry_reflproof · cited by 0
- Delone.DeloneSet.copy.congr_simpstatement and proof · cited by 0