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theorem proved term proof

sensitivity_pos

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formal statement (Lean)

  57theorem sensitivity_pos {f : ℝ} (h : 0 < f) : 0 < sensitivity f := by

proof body

Term-mode proof.

  58  unfold sensitivity h_0
  59  rw [if_neg (not_le.mpr h)]
  60  apply div_pos
  61  · simp; exact carrier_pos
  62  · exact h
  63
  64/-- Sensitivity is strictly anti-monotonic in `f` (above carrier:
  65sensitivity decreases; below: increases). -/

used by (4)

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depends on (11)

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