Update complexHarmonic.lean

2024-05-17 09:05:15 +02:00 · 2024-05-17 09:05:15 +02:00 · aeda1e981d
parent 71ad6aa67e
commit aeda1e981d
1 changed files with 7 additions and 1 deletions
--- a/Nevanlinna/complexHarmonic.lean
+++ b/Nevanlinna/complexHarmonic.lean
@ -129,6 +129,12 @@ theorem im_of_holomorphic_is_harmonic {f : ℂ → ℂ} (h : Differentiable ℂ
  exact holomorphic_is_harmonic h


+theorem antiholomorphic_is_harmonic {f : ℂ → ℂ} (h : Differentiable ℂ f) :
+  Harmonic (Complex.conjCLE ∘ f) := by
+  apply harmonic_iff_comp_CLE_is_harmonic.1
+  exact holomorphic_is_harmonic h
+
+
 theorem log_normSq_of_holomorphic_is_harmonic
  {f : ℂ → ℂ}
  (h₁ : Differentiable ℂ f)