recognition /
CPM /
CPM.LawOfExistence /
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formal statement (Lean)
312 theorem knet_from_cone_projection :
313 RS.coneConstants.Knet = 1 := rfl
proof body
Term-mode proof.
314
315 /-- K_net for ε-net covering in dimension d.
316
317 Given covering radius ε and dimension d, the net constant is
318 K_net = (1/(1-2ε))^d. For ε = 1/8 and d = 3:
319 K_net = (1/(1-1/4))^3 = (4/3)^3 = 64/27. -/
depends on (12)
Lean names referenced from this declaration's body.
radius
in IndisputableMonolith.Complexity.CellularAutomata
decl_use
coneConstants
in IndisputableMonolith.CPM.LawOfExistence
decl_use
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
for
in IndisputableMonolith.Foundation.UniversalForcingSelfReference
decl_use
is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
K_net
in IndisputableMonolith.Gravity.CoerciveProjection
decl_use
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
and
in IndisputableMonolith.NumberTheory.CirclePhaseLift
decl_use
constant
in IndisputableMonolith.Relativity.Fields.Scalar
decl_use
net
in IndisputableMonolith.RRF.Core.Strain
decl_use
net
in IndisputableMonolith.RRF.Foundation.Ledger
decl_use