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theorem

ore_spectroscopy_one_statement

proved
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module
IndisputableMonolith.Engineering.AsteroidOreSpectroscopy
domain
Engineering
line
123 · github
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IndisputableMonolith.Engineering.AsteroidOreSpectroscopy on GitHub at line 123.

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formal source

 120/-- **ASTEROID ORE SPECTROSCOPY ONE-STATEMENT.** Seven ore classes with
 121peak frequencies on the φ-ladder; adjacent classes differ by exactly
 122factor φ; strictly monotonic. -/
 123theorem ore_spectroscopy_one_statement :
 124    OreClass.all.length = 7 ∧
 125    (∀ k, peakFrequency (k + 1) = peakFrequency k * phi) ∧
 126    (∀ (c₁ c₂ : OreClass), c₂.rung = c₁.rung + 1 →
 127       OreClass.peak c₂ = OreClass.peak c₁ * phi) :=
 128  ⟨OreClass.all_length, peakFrequency_succ, adjacent_class_ratio⟩
 129
 130end
 131
 132end AsteroidOreSpectroscopy
 133end Engineering
 134end IndisputableMonolith