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theorem proved term proof

cosh_no_real_zeros

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formal statement (Lean)

  75theorem cosh_no_real_zeros (t : ℝ) : 1 ≤ Real.cosh t := by

proof body

Term-mode proof.

  76  have h := Real.cosh_pos t
  77  have h2 := Cost.cosh_quadratic_lower_bound t
  78  linarith [sq_nonneg t]
  79
  80/-- cosh(0) = 1: the unique real minimum. -/

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