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Aristotle/Basic.lean

@@ -1 +1,15 @@
-def hello := "world"
+import Mathlib.Analysis.Meromorphic.Basic
+
+open MeromorphicOn Metric Real Set Classical
+
+variable
+  {𝕜 : Type*} [NontriviallyNormedField 𝕜]
+  {E : Type*} [NormedAddCommGroup E] [NormedSpace 𝕜 E]
+  {U : Set 𝕜} {f g : 𝕜 → E} {a : WithTop E} {a₀ : E}
+
+/-- Finite sums of meromorphic functions are meromorphic. -/
+@[fun_prop]
+theorem MeromorphicAt.sum {ι : Type*} {s : Finset ι} {f : ι → 𝕜 → E} {x : 𝕜}
+    (h : ∀ σ, MeromorphicAt (f σ) x) :
+    MeromorphicAt (∑ n ∈ s, f n) x := by
+  sorry