`zero_output_zero_impact`

proved

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module: IndisputableMonolith.Ethics.SigmaExternalizationAudit
domain: Ethics
line: 18 · github
papers citing: none yet

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IndisputableMonolith.Ethics.SigmaExternalizationAudit on GitHub at line 18.

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depends on

sigmaImpact IndisputableMonolith.Ethics.SigmaExternalizationAudit

formal source

  15def sigmaImpact (output_magnitude receiver_sensitivity : ℝ) : ℝ :=
  16  output_magnitude * receiver_sensitivity
  17
  18theorem zero_output_zero_impact (s : ℝ) : sigmaImpact 0 s = 0 := by
  19  unfold sigmaImpact; ring
  20
  21def isSafeOutput (impact epsilon : ℝ) : Prop := |impact| < epsilon
  22
  23theorem safe_when_small (impact eps : ℝ) (h : |impact| < eps) :
  24    |impact| < eps := h
  25
  26def auditCost : ℕ := 1
  27
  28theorem audit_is_O1 : auditCost = 1 := rfl
  29
  30end
  31
  32end IndisputableMonolith.Ethics.SigmaExternalizationAudit

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