From 6e204a0348b2eb8b913686d59dfd13bf491f6950 Mon Sep 17 00:00:00 2001
From: Stefan Kebekus <kebekus@users.noreply.github.com>
Date: Sat, 16 Nov 2024 13:24:50 +0100
Subject: [PATCH] Update meromorphicOn.lean
---
Nevanlinna/meromorphicOn.lean | 19 +++++++++----------
1 file changed, 9 insertions(+), 10 deletions(-)
diff --git a/Nevanlinna/meromorphicOn.lean b/Nevanlinna/meromorphicOn.lean
index 01d1559..ec8c4a2 100644
--- a/Nevanlinna/meromorphicOn.lean
+++ b/Nevanlinna/meromorphicOn.lean
@@ -22,17 +22,16 @@ theorem MeromorphicOn.open_of_order_eq_top
rw [eventually_nhdsWithin_iff] at hz
rw [eventually_nhds_iff] at hz
obtain ⟨t', h₁t', h₂t', h₃t'⟩ := hz
- let t :=
- have : t ⊆ { u : U | (h₁f u.1 u.2).order = ⊤} := by
+
+ let t : Set U := Subtype.val ⁻¹' t'
+ use t
+ constructor
+ · intro w hw
+ simp
sorry
-
-
-
- rw [← eventually_eventually_nhds] at hz
-
-
- sorry
-
+ · constructor
+ · exact isOpen_induced h₂t'
+ · exact h₃t'
theorem MeromorphicOn.order_ne_top
{f : ℂ → ℂ}