[F] A4 P1 Q1 Fix algebra

2021-11-08 16:30:45 -05:00
parent 8197ef7c5b
commit 649fb9e94b
1 changed files with 2 additions and 2 deletions
@@ -52,8 +52,8 @@ We need to prove: $1 | (a + kn) \land 1 | n \land (\forall e \in \N, e | (a + kn
        Suppose $e | (a + kn) \land e | n$ \\
        $a + kn = ex \land n = ey$ for some $x,y \in \Z$ \\
        $a + key = ex$ for some $x,y \in \Z$ \\
-        $a = e(ky + x)$ for some $x,y \in \Z$ \\
-        Let $c = (ky + x)$ \\
+        $a = e(x - ky)$ for some $x,y \in \Z$ \\
+        Let $c = (x - ky)$ \\
        By substitution, we now have: $a = ec$ \\
        Therefore, $\exists c \in \Z$ s.t. $a = ec$ is true. \\
        Which means $e | a$ is true. \\