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theorem proved term proof

realizedDefectCollapseScalar_pos

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formal statement (Lean)

 310theorem realizedDefectCollapseScalar_pos
 311    (sensor : DefectSensor) (hm : sensor.charge ≠ 0) (N : ℕ) :
 312    0 < realizedDefectCollapseScalar sensor hm N := by

proof body

Term-mode proof.

 313  unfold realizedDefectCollapseScalar
 314  apply one_div_pos.mpr
 315  have hcost_nonneg :
 316      0 ≤ annularCost ((canonicalDefectSampledFamily sensor hm).mesh N) :=
 317    annularCost_nonneg _
 318  linarith
 319
 320/-- Boundary-approach predicate for the concrete realized-defect collapse
 321scalar. -/

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depends on (7)

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