week 25 of the year

S2/DiffII/VL/DiIIVL14.typ

@@ -0,0 +1,29 @@
+// Main VL template
+#import "../preamble.typ": *
+
+// Fix theorems to be shown the right way in this document
+#import "@preview/ctheorems:1.1.3": *
+#show: thmrules
+
+// Main settings call
+#show: conf.with(
+	// May add more flags here in the future
+	num: 5,
+	type: 0, // 0 normal, 1 exercise
+	date: datetime.today().display(),
+	//date: datetime(
+	//	year: 2025,
+	//	month: 5,
+	//	day: 1,
+	//).display(),
+)
+
+= Uebersicht
+
+#theorem[
+	Sei $U subset RR^n times RR^n $ offen, $(a,b) in U, f: U -> RR^n $ stetig diffbar mit $f (a,b) =  0$ und $det (partial_(y) f^(i) )_(1 <= i, j <= n) .. (a,b) != 0 $. Dann gibt es eine difbare Funnktion $g: U' ->  U''$ sodass gilt
+	$
+		f (x,y) =  0 "fuer ein " x in U', y in U'' <=> y =  g (x).
+	$
+]
+