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formal statement (Lean)
101theorem transmutation_reduces_cost (step : TransmutationStep) :
102 nuclearCost step.final ≤ nuclearCost step.initial :=
proof body
Term-mode proof.
103 step.reduces_cost
104
105/-- **THEOREM EN-006.5**: Transmutation cost reduction is bounded by initial cost. -/
used by (1)
From the project-wide theorem graph. These declarations reference this one in their body.
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en006_certificate
in IndisputableMonolith.Engineering.FissionTransmutationStructure
decl_use
depends on (9)
Lean names referenced from this declaration's body.
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step
in IndisputableMonolith.Complexity.CellularAutomata
decl_use
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nuclearCost
in IndisputableMonolith.Engineering.FissionTransmutationStructure
decl_use
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TransmutationStep
in IndisputableMonolith.Engineering.FissionTransmutationStructure
decl_use
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cost
in IndisputableMonolith.Foundation.MultiplicativeRecognizerL4
decl_use
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cost
in IndisputableMonolith.Foundation.ObserverForcing
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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is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use