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formal statement (Lean)
118theorem polyPrimeCost_nonneg (P : Polynomial F) : 0 ≤ polyPrimeCost P :=
proof body
Term-mode proof.
119 Jcost_nonneg (polyNorm_pos P)
120
121/-- `polyCost` is nonnegative on any polynomial. -/
used by (2)
From the project-wide theorem graph. These declarations reference this one in their body.
-
polyCost_nonneg
in IndisputableMonolith.NumberTheory.PrimeCostSpectrumPoly
decl_use
-
polyCost_pos
in IndisputableMonolith.NumberTheory.PrimeCostSpectrumPoly
decl_use
depends on (15)
Lean names referenced from this declaration's body.
-
Jcost_nonneg
in IndisputableMonolith.Cost
decl_use
-
Jcost_nonneg
in IndisputableMonolith.Cost.JcostCore
decl_use
-
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
-
is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
-
is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
-
Jcost_nonneg
in IndisputableMonolith.Gravity.CoherenceCollapse
decl_use
-
Jcost_nonneg
in IndisputableMonolith.Gravity.EnergyProcessingBridge
decl_use
-
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
-
Jcost_nonneg
in IndisputableMonolith.NavierStokes.PhiLadderCutoff
decl_use
-
polyCost
in IndisputableMonolith.NumberTheory.PrimeCostSpectrumPoly
decl_use
-
polyNorm_pos
in IndisputableMonolith.NumberTheory.PrimeCostSpectrumPoly
decl_use
-
polyPrimeCost
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