diff --git a/Nevanlinna/holomorphic_JensenFormula.lean b/Nevanlinna/holomorphic_JensenFormula.lean index e138191..33ccc26 100644 --- a/Nevanlinna/holomorphic_JensenFormula.lean +++ b/Nevanlinna/holomorphic_JensenFormula.lean @@ -48,8 +48,9 @@ theorem jensen_case_R_eq_one simp at t₁ rw [t₁] simp - have : Real.pi⁻¹ * 2⁻¹ * (2 * Real.pi * (logAbsf 0 - ∑ x ∈ S.attach, Real.log (Complex.abs (a x)))) = logAbsf 0 - ∑ x ∈ S.attach, Real.log (Complex.abs (a x)) := by - sorry + have {w : ℝ} : Real.pi⁻¹ * 2⁻¹ * (2 * Real.pi * w) = w := by + ring_nf + simp [mul_inv_cancel Real.pi_ne_zero] rw [this] simp rfl