recognition /
Unification /
Unification.ConsciousnessBandwidth /
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)
127 theorem maintenanceDemand_nonneg {L : ℝ} (hL : 0 < L) :
128 0 ≤ maintenanceDemand L := by
proof body
Term-mode proof.
129 unfold maintenanceDemand
130 exact mul_nonneg (le_of_lt barrierPeriod_pos) (Cost.Jcost_nonneg hL)
131
132 /-- Maintenance demand is zero only when L = 1 (identity scale). -/
used by (1)
From the project-wide theorem graph. These declarations reference this one in their body.
complexDemand_ge
in IndisputableMonolith.Unification.ConsciousnessBandwidth
decl_use
depends on (17)
Lean names referenced from this declaration's body.
scale
in IndisputableMonolith.Cosmology.LargeScaleStructureFromRS
decl_use
Jcost_nonneg
in IndisputableMonolith.Cost
decl_use
Jcost_nonneg
in IndisputableMonolith.Cost.JcostCore
decl_use
identity
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
Jcost_nonneg
in IndisputableMonolith.Gravity.CoherenceCollapse
decl_use
Jcost_nonneg
in IndisputableMonolith.Gravity.EnergyProcessingBridge
decl_use
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
Cost
in IndisputableMonolith.Measurement.RSNative.Core
decl_use
Jcost_nonneg
in IndisputableMonolith.NavierStokes.PhiLadderCutoff
decl_use
L
in IndisputableMonolith.Recognition
decl_use
L
in IndisputableMonolith.Recognition.Cycle3
decl_use
identity
in IndisputableMonolith.RRF.Foundation.VantageCategory
decl_use
barrierPeriod_pos
in IndisputableMonolith.Unification.ConsciousnessBandwidth
decl_use
maintenanceDemand
in IndisputableMonolith.Unification.ConsciousnessBandwidth
decl_use