have : good_domain U := ⟨h1, h2.1, h2.2, h3, (h4.has_logs h1 h2.isPreconnected).has_sqrt⟩
ι : Type u_1
l : Filter ι
U : Set ℂ
z₀ : ℂ
h1 : IsOpen U
h2 : IsConnected U
h3 : U ≠ univ
h4 : has_primitives U
⊢ ∃ f, DifferentiableOn ℂ f U ∧ InjOn f U ∧ f '' U = ball 0 1
ι : Type u_1
l : Filter ι
U : Set ℂ
z₀ : ℂ
h1 : IsOpen U
h2 : IsConnected U
h3 : U ≠ univ
h4 : has_primitives U
this : good_domain U
⊢ ∃ f, DifferentiableOn ℂ f U ∧ InjOn f U ∧ f '' U = ball 0 1