diff --git a/Nevanlinna/holomorphic_JensenFormula2.lean b/Nevanlinna/holomorphic_JensenFormula2.lean index 96aa242..6402001 100644 --- a/Nevanlinna/holomorphic_JensenFormula2.lean +++ b/Nevanlinna/holomorphic_JensenFormula2.lean @@ -8,6 +8,14 @@ import Nevanlinna.specialFunctions_CircleIntegral_affine open Real +noncomputable def Zeroset + {f : ℂ → ℂ} + {s : Set ℂ} + (hf : ∀ z ∈ s, HolomorphicAt f z) : + Set ℂ := by + exact f⁻¹' {0} ∩ s + + noncomputable def ZeroFinset {f : ℂ → ℂ} (h₁f : ∀ z ∈ Metric.closedBall (0 : ℂ) 1, HolomorphicAt f z) @@ -272,7 +280,9 @@ theorem jensen_case_R_eq_one simp_rw [← Complex.norm_eq_abs] at this rw [t₁] at this + --let Z₁ := (ZeroFinset h₁f h₂f) ∩ (Metric.ball 0 1) + let Z₂ := { x : ZeroFinset h₁f h₂f | ‖x.1‖ = 1 } sorry