recognition /
NumberTheory /
NumberTheory.PrimeCostSpectrumPoly /
explainer
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formal statement (Lean)
81 def polyPrimeCost (P : Polynomial F) : ℝ := Jcost (polyNorm P)
proof body
Definition body.
82
83 /-- The cost of a polynomial `f`, computed by summing the per-factor
84 cost over the multiset of normalized irreducible factors of `f`.
85 By convention `polyCost 0 = 0`. -/
used by (7)
From the project-wide theorem graph. These declarations reference this one in their body.
cost_spectrum_poly_certificate
in IndisputableMonolith.NumberTheory.PrimeCostSpectrumPoly
decl_use
polyCost
in IndisputableMonolith.NumberTheory.PrimeCostSpectrumPoly
decl_use
polyCost_irreducible
in IndisputableMonolith.NumberTheory.PrimeCostSpectrumPoly
decl_use
polyCost_one
in IndisputableMonolith.NumberTheory.PrimeCostSpectrumPoly
decl_use
polyCost_pos
in IndisputableMonolith.NumberTheory.PrimeCostSpectrumPoly
decl_use
polyPrimeCost_nonneg
in IndisputableMonolith.NumberTheory.PrimeCostSpectrumPoly
decl_use
polyPrimeCost_pos
in IndisputableMonolith.NumberTheory.PrimeCostSpectrumPoly
decl_use
depends on (13)
Lean names referenced from this declaration's body.
of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
decl_use
of
in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization
decl_use
cost
in IndisputableMonolith.Foundation.MultiplicativeRecognizerL4
decl_use
cost
in IndisputableMonolith.Foundation.ObserverForcing
decl_use
of
in IndisputableMonolith.Foundation.PhiForcingDerived
decl_use
of
in IndisputableMonolith.Foundation.SpectralEmergence
decl_use
of
in IndisputableMonolith.Information.PhysicsComplexityStructure
decl_use
normalized
in IndisputableMonolith.NavierStokes.RunningMaxNormalization
decl_use
polyCost
in IndisputableMonolith.NumberTheory.PrimeCostSpectrumPoly
decl_use
polyNorm
in IndisputableMonolith.NumberTheory.PrimeCostSpectrumPoly
decl_use
F
in IndisputableMonolith.Physics.AnchorPolicy
decl_use
F
in IndisputableMonolith.Physics.LeptonGenerations.TauStepDerivation
decl_use
F
in IndisputableMonolith.Pipelines
decl_use