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lemma proved term proof

exp_0481_lt_phi

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formal statement (Lean)

 232private lemma exp_0481_lt_phi : exp_taylor_10_at_0481 + exp_error_10_at_0481 < 161803395 / 100000000 := by

proof body

Term-mode proof.

 233  native_decide
 234
 235/-- Rigorous lower bound: log(φ) > 0.481.
 236
 237    Proof using exp monotonicity: log(φ) > 0.481 ↔ φ > exp(0.481).
 238    We have φ > 1.61803395 and exp(0.481) ≈ 1.617691... < 1.61803395. -/

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