def definition def or abbrev

`J_curv`

No prose has been written for this declaration yet. The Lean source and graph data below render without it.

formal statement (Lean)

  34noncomputable def J_curv (lambda : ℝ) : ℝ := 2 * lambda ^ 2

proof body

Definition body.

  35
  36/-- Total cost functional. -/

used by (19)

From the project-wide theorem graph. These declarations reference this one in their body.

balance_at_lambda_0 in IndisputableMonolith.Constants.LambdaRecDerivation decl_use
balance_determines_lambda in IndisputableMonolith.Constants.LambdaRecDerivation decl_use
balanceResidual in IndisputableMonolith.Constants.LambdaRecDerivation decl_use
balance_unique_positive_root in IndisputableMonolith.Constants.LambdaRecDerivation decl_use
GDerivationChain in IndisputableMonolith.Constants.LambdaRecDerivation decl_use
J_bit_normalized in IndisputableMonolith.Constants.LambdaRecDerivation decl_use
J_curv_derivation in IndisputableMonolith.Constants.LambdaRecDerivation decl_use
kappa_normalized_eq_one in IndisputableMonolith.Constants.LambdaRecDerivation decl_use
lambda_rec_is_forced in IndisputableMonolith.Constants.LambdaRecDerivation decl_use
totalCost in IndisputableMonolith.Constants.LambdaRecDerivation decl_use
extremum_condition in IndisputableMonolith.Constants.PlanckScaleMatching decl_use
extremum_unique in IndisputableMonolith.Constants.PlanckScaleMatching decl_use
J_curv in IndisputableMonolith.Constants.PlanckScaleMatching decl_use
J_curv_nonneg in IndisputableMonolith.Constants.PlanckScaleMatching decl_use
J_curv_zero in IndisputableMonolith.Constants.PlanckScaleMatching decl_use
planck_gate_normalized in IndisputableMonolith.Constants.PlanckScaleMatching decl_use
PlanckScaleMatchingCert in IndisputableMonolith.Constants.PlanckScaleMatching decl_use
planck_scale_matching_report in IndisputableMonolith.Constants.PlanckScaleMatching decl_use
Q3_vertices in IndisputableMonolith.Constants.PlanckScaleMatching decl_use

depends on (4)

Lean names referenced from this declaration's body.

J_curv in IndisputableMonolith.Constants.PlanckScaleMatching decl_use
cost in IndisputableMonolith.Foundation.MultiplicativeRecognizerL4 decl_use
cost in IndisputableMonolith.Foundation.ObserverForcing decl_use
lambda in IndisputableMonolith.Physics.RGTransport decl_use