fix bad shit
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@ -17,7 +17,17 @@ $
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#text("z.z.") &|d(x_1,x_2) - d(x_2,x_3)| <= d(x_1,x_3) \
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#text("z.z.") &|d(x_1,x_2) - d(x_2,x_3)| <= d(x_1,x_3) \
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d(x_1,x_3) <= &|d(x_1,x_2) + d(x_2,x_3)| \
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d(x_1,x_3) <= &|d(x_1,x_2) + d(x_2,x_3)| \
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<=> 0 <= &|d(x_1,x_2) + d(x_2,x_3)| - d(x_1,x_3) \
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<=> 0 <= &|d(x_1,x_2) + d(x_2,x_3)| - d(x_1,x_3) \
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?????????????????&???????????????
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"Metrik Axiome:"\
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upright(I): d(x,y) &= <=> x=y \
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"II": d(x,y) &= d(y,x) \
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"III": d(x,y) &<= d(x,z) + d(z,y) \
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\
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&|d(x_1,x_2) - d(x_2,x_3)| <= d(x_1,x_3) \
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<=> &|d(x_1,x_2) - d(x_2,x_3)| <= d(x_1,x_3) + d(x_2,x_3) - d(x_2,x_3) \
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<=> &|d(x_1,x_2) - d(x_2,x_3)| <= d(x_1,x_3) + d(x_3,x_2) - d(x_2,x_3) \
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&"Magic removes the betragsstrich" \
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<=> &d(x_1,x_2) - d(x_2,x_3) <= d(x_1,x_3) + d(x_3,x_2) - d(x_2,x_3) \
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<=> &d(x_1,x_2) <= d(x_1,x_3) + d(x_3,x_2) <=> "Axiom III" qed \
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$
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$
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#pagebreak()
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#pagebreak()
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