Theorems · Theorem · convex and discrete geometry

Delone.DeloneSet.copy.congr_simp

∀ {X : Type u_1} [inst : MetricSpace X] (D D_1 : Delone.DeloneSet X) (e_D : D = D_1) (carrier carrier_1 : Set X)
  (e_carrier : carrier = carrier_1) (packingRadius packingRadius_1 : NNReal)
  (e_packingRadius : packingRadius = packingRadius_1) (coveringRadius coveringRadius_1 : NNReal)
  (e_coveringRadius : coveringRadius = coveringRadius_1) (h_carrier : carrier = D.carrier)
  (h_packing : packingRadius = D.packingRadius) (h_covering : coveringRadius = D.coveringRadius),
  D.copy carrier packingRadius coveringRadius h_carrier h_packing h_covering =
    D_1.copy carrier_1 packingRadius_1 coveringRadius_1 ⋯ ⋯ ⋯

Defined in: Mathlib.Analysis.AperiodicOrder.Delone.Basic
Cited by: 0 results in Mathlib
Foundations: Depth 155 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: MetricSpace

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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
Delone.DeloneSet.copystatement and proof · cited by 3

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