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formal statement (Lean)
57theorem proportionCost_nonneg (a i : ℝ) (ha : 0 < a) (hi : 0 < i) :
58 0 ≤ proportionCost a i := by
proof body
Term-mode proof.
59 unfold proportionCost; exact Jcost_nonneg (div_pos ha hi)
60
61/-- The φ:1 rectangle is in the aesthetic preference band (1.4, 1.9). -/
used by (1)
From the project-wide theorem graph. These declarations reference this one in their body.
-
cert
in IndisputableMonolith.Architecture.GoldenSectionInProportion
decl_use
depends on (12)
Lean names referenced from this declaration's body.
-
preference
in IndisputableMonolith.Aesthetics.SymmetryGroupPreference
decl_use
-
proportionCost
in IndisputableMonolith.Architecture.GoldenSectionInProportion
decl_use
-
Jcost_nonneg
in IndisputableMonolith.Cost
decl_use
-
Jcost_nonneg
in IndisputableMonolith.Cost.JcostCore
decl_use
-
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
-
band
in IndisputableMonolith.Foundation.PreLogicalCost
decl_use
-
is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
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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