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theorem proved term proof

z_nonneg

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formal statement (Lean)

  43theorem z_nonneg (seq : TemporalSequence) (k : Fin seq.n_steps) :
  44    0 ≤ zAtStep seq k := by

proof body

Term-mode proof.

  45  unfold zAtStep
  46  apply Finset.sum_nonneg
  47  intro i _; exact abs_nonneg _
  48
  49/-- Forward direction: adding a step with nonzero Berry phase increases Z. -/

depends on (7)

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