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theorem proved term proof

strict_transmutation_progress

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formal statement (Lean)

 181theorem strict_transmutation_progress
 182    (cfg : NuclearConfig) (h_unstable : cfg.ratio ≠ 1) :
 183    ∃ step : TransmutationStep,
 184      step.initial = cfg ∧
 185      nuclearCost step.final < nuclearCost step.initial := by

proof body

Term-mode proof.

 186  have hcost_pos := transmutation_cost_pos cfg h_unstable
 187  have hscz : nuclearCost stable_config = 0 := stable_config_zero_cost
 188  refine ⟨⟨cfg, stable_config, ?_⟩, rfl, ?_⟩
 189  · linarith [hscz.le, hcost_pos]
 190  · linarith [hscz.le, hcost_pos]
 191
 192/-! ## §VI. RS Transmutation Efficiency -/
 193
 194/-- The transmutation efficiency: ratio of cost reduction to initial cost. -/

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