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formal statement (Lean)
215theorem perfect_transmutation_efficiency (cfg : NuclearConfig) (h_unstable : cfg.ratio ≠ 1) :
216 transmutation_efficiency cfg stable_config = 1 := by
proof body
Tactic-mode proof.
217 unfold transmutation_efficiency
218 have h0 : nuclearCost cfg ≠ 0 := by
219 intro h
220 exact h_unstable ((nuclear_cost_zero_iff_stable cfg).mp h)
221 simp [h0, stable_config_zero_cost]
222
223/-! ## §VII. Summary -/
224
225/-- The RS fission transmutation theorem.
226 Derives key properties of transmutation from J-cost structure. -/
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 (14)
Lean names referenced from this declaration's body.
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of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
decl_use
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NuclearConfig
in IndisputableMonolith.Engineering.FissionTransmutationStructure
decl_use
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nuclearCost
in IndisputableMonolith.Engineering.FissionTransmutationStructure
decl_use
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nuclear_cost_zero_iff_stable
in IndisputableMonolith.Engineering.FissionTransmutationStructure
decl_use
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stable_config
in IndisputableMonolith.Engineering.FissionTransmutationStructure
decl_use
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stable_config_zero_cost
in IndisputableMonolith.Engineering.FissionTransmutationStructure
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transmutation_efficiency
in IndisputableMonolith.Engineering.FissionTransmutationStructure
decl_use
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of
in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization
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cost
in IndisputableMonolith.Foundation.MultiplicativeRecognizerL4
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cost
in IndisputableMonolith.Foundation.ObserverForcing
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of
in IndisputableMonolith.Foundation.PhiForcingDerived
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from
in IndisputableMonolith.Foundation.PrimitiveDistinction
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of
in IndisputableMonolith.Foundation.SpectralEmergence
decl_use
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of
in IndisputableMonolith.Information.PhysicsComplexityStructure
decl_use