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theorem proved tactic proof

beta0_pos

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formal statement (Lean)

  32theorem beta0_pos (N_f : ℕ) (hNf : N_f ≤ 16) : 0 < beta0 N_f := by

proof body

Tactic-mode proof.

  33  unfold beta0 N_c
  34  apply div_pos _ (mul_pos (by norm_num : (0:ℝ) < 12) Real.pi_pos)
  35  have h : (N_f : ℝ) ≤ 16 := by exact_mod_cast hNf
  36  simp only [N_c, Nat.cast_ofNat]
  37  nlinarith
  38
  39/-- At N_f = 5: b₀ = 23/(12π). -/

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