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--- sav08:proof_of_first_lecture01_example [2008/02/19 14:16]
vkuncak
+++ sav08:proof_of_first_lecture01_example [2008/02/20 14:53]
vkuncak
@@ Line 38: / Line 38: @@
 \]
   *
-     * **Case 2**: $y = 2k+1$. Note $y-1 < y$ and $k < y$. By definition and I.H.
+     * **Case 2**: $y = 2k+1$. Note $y-1 < y$. By definition and I.H.
 \[
-   f(x,y) = f(x,2k+1) = x + f(x,2k) = x + 2 f(x,k) = x + 2 (x k) = x (2 k + 1) = x y
+   f(x,y) = f(x,2k+1) = x + f(x,2k) = x + x \cdot (2k) = x (2 k + 1) = x y
 \]
 This completes the proof.