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lemma proved term proof

predicted_residue_mu_bounds

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formal statement (Lean)

 122lemma predicted_residue_mu_bounds :
 123    (-9.63 : ℝ) < predicted_residue_mu ∧ predicted_residue_mu < (-9.62 : ℝ) := by

proof body

Term-mode proof.

 124  simp only [predicted_residue_mu]
 125  have h_gap := gap_minus_shift_bounds_proven
 126  have h_step := step_e_mu_bounds
 127  constructor <;> linarith
 128
 129/-- Bounds on predicted_residue_tau = predicted_residue_mu + step_mu_tau.
 130    ≈ -9.6265 + 5.865 ≈ -3.7615
 131    Bounds: (-9.63 + 5.86, -9.62 + 5.87) = (-3.77, -3.75) -/

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