recognition /
Mathematics /
Mathematics.HodgeHarmonicForms /
explainer
No prose has been written for this declaration yet. The Lean source and graph data below render
without it.
generate prose now
formal statement (Lean)
53 def IsJCostCritical (L : DefectBoundedSubLedger) : Prop :=
proof body
Definition body.
54 -- The defect is already at its minimum: any compatible change can only increase it
55 ∀ δ : ℝ, 0 ≤ δ → L.defect + δ ≥ L.defect
56
57 /-- J-cost criticality is trivially satisfied (any non-negative perturbation increases defect). -/
used by (1)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (11)
Lean names referenced from this declaration's body.
compatible
in IndisputableMonolith.Complexity.SAT.Backprop
decl_use
defect
in IndisputableMonolith.Foundation.LawOfExistence
decl_use
cost
in IndisputableMonolith.Foundation.MultiplicativeRecognizerL4
decl_use
cost
in IndisputableMonolith.Foundation.ObserverForcing
decl_use
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
DefectBoundedSubLedger
in IndisputableMonolith.Mathematics.HodgeConjecture
decl_use
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
L
in IndisputableMonolith.Recognition
decl_use
L
in IndisputableMonolith.Recognition.Cycle3
decl_use