clarify in ana3

2020-05-14 19:24:12 +02:00
parent 41d1e7357e
commit 23b8597f43
2 changed files with 2 additions and 2 deletions
@@ -88,8 +88,8 @@
            \item Dreicksungleichung:
                \begin{align*}
                    \Vert x + y \Vert \quad &= \quad d(x + y, 0) \\
-                                            &\stackrel{\text{E1}}{=} \quad d(y, -x) \\
-                                            &\stackrel{d \text{ Metrik}}= \quad  d(-x, y) \\
+                                            &= \quad d(y - (-x), 0) \\
+                                            &\stackrel{\text{E1}}{=} \quad d(-x, y) \\
                                            &\stackrel{d \text{ Metrik}}\le \quad d(-x, 0) + d(0, y) \\
                                            &\stackrel{\text{E2}}{=} \quad d(x, 0) + d(y, 0) \\
                                            &= \quad \Vert x \Vert_d + \Vert y \Vert_d