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theorem proved term proof

regular_factor_increment_decomposition

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formal statement (Lean)

 187theorem regular_factor_increment_decomposition
 188    {dpf : DefectPhaseFamily} (hw : DefectPhasePerturbationWitness dpf)
 189    (n : ℕ) (hn : 0 < n) (j : Fin (8 * n)) :
 190    (dpf.phaseAtLevel n hn).sampleIncrements n j =
 191      defectPhasePureIncrement dpf n + hw.epsilon n hn j :=

proof body

Term-mode proof.

 192  hw.increment_eq n hn j
 193
 194/-- The perturbation term lies in the unit-scale regime required by the proved
 195`phiCost` perturbation lemma. -/

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