style: auto-format example files with lux fmt

Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>

examples/modules/math_utils.lux

@@ -1,14 +1,7 @@
-// Math utilities module
-// Exports: square, cube, factorial
+fn square(n: Int): Int = n * n
 
-pub fn square(n: Int): Int = n * n
+fn cube(n: Int): Int = n * n * n
 
-pub fn cube(n: Int): Int = n * n * n
+fn factorial(n: Int): Int = if n <= 1 then 1 else n * factorial(n - 1)
 
-pub fn factorial(n: Int): Int =
-    if n <= 1 then 1
-    else n * factorial(n - 1)
-
-pub fn sumRange(start: Int, end: Int): Int =
-    if start > end then 0
-    else start + sumRange(start + 1, end)
+fn sumRange(start: Int, end: Int): Int = if start > end then 0 else start + sumRange(start + 1, end)