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formal statement (Lean)
164theorem emp_cost_zero (κ : CostFunction Config) :
165 κ.C emp = 0 :=
proof body
Term-mode proof.
166 (κ.dichotomy emp).mpr emp_consistent
167
168/-- Cost is positive if and only if the configuration is inconsistent. -/
used by (1)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (9)
Lean names referenced from this declaration's body.
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CostFunction
in IndisputableMonolith.Foundation.CostFromDistinction
decl_use
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is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
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is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
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is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
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Config
in IndisputableMonolith.Gravity.ILG
decl_use
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is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
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Cost
in IndisputableMonolith.Measurement.RSNative.Core
decl_use
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Config
in IndisputableMonolith.Modal.Possibility
decl_use
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and
in IndisputableMonolith.NumberTheory.CirclePhaseLift
decl_use