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Display information for equation id:math.1068.15 on revision:1068
* Page found: Affinier Raum (eq math.1068.15)
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Hash: f1044090dbba519708b1260efb335b45
TeX (original user input):
\begin{align}
& \overrightarrow{xy}+x=y\wedge \overrightarrow{yx}+y=x \\
& \Leftrightarrow \overrightarrow{xy}+\left( \overrightarrow{yx}+y \right)=y \\
& \overbrace{\Leftrightarrow }^{\left[ \text{O}\text{.1} \right]}\left( \overrightarrow{xy}+\overrightarrow{yx} \right)+y=y \\
& \overbrace{\Leftrightarrow }^{\left[ \text{O}\text{.2} \right]}\overrightarrow{xy}+\overrightarrow{yx}=0\in {{T}_{M}} \\
\end{align}
TeX (checked):
{\begin{aligned}&{\overrightarrow {xy}}+x=y\wedge {\overrightarrow {yx}}+y=x\\&\Leftrightarrow {\overrightarrow {xy}}+\left({\overrightarrow {yx}}+y\right)=y\\&\overbrace {\Leftrightarrow } ^{\left[{\text{O}}{\text{.1}}\right]}\left({\overrightarrow {xy}}+{\overrightarrow {yx}}\right)+y=y\\&\overbrace {\Leftrightarrow } ^{\left[{\text{O}}{\text{.2}}\right]}{\overrightarrow {xy}}+{\overrightarrow {yx}}=0\in {{T}_{M}}\\\end{aligned}}
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MathML (2.757 KB / 453 B) :
<math class="mwe-math-element" xmlns="http://www.w3.org/1998/Math/MathML"><mrow data-mjx-texclass="ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow data-mjx-texclass="ORD"><mtable columnalign="right left right left right left right left right left right left" columnspacing="0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em" displaystyle="true" rowspacing="3pt"><mtr><mtd></mtd><mtd><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mi>x</mi><mi>y</mi></mrow><mo>→</mo></mover></mrow><mo>+</mo><mi>x</mi><mo>=</mo><mi>y</mi><mo>∧</mo><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mi>y</mi><mi>x</mi></mrow><mo>→</mo></mover></mrow><mo>+</mo><mi>y</mi><mo>=</mo><mi>x</mi></mtd></mtr><mtr><mtd></mtd><mtd><mo>⇔</mo><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mi>x</mi><mi>y</mi></mrow><mo>→</mo></mover></mrow><mo>+</mo><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mi>y</mi><mi>x</mi></mrow><mo>→</mo></mover></mrow><mo>+</mo><mi>y</mi><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>=</mo><mi>y</mi></mtd></mtr><mtr><mtd></mtd><mtd><mover><mrow data-mjx-texclass="OP"><mover><mo>⇔</mo><mo>⏞</mo></mover></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mrow data-mjx-texclass="ORD"><mtext>O</mtext></mrow><mrow data-mjx-texclass="ORD"><mtext>.1</mtext></mrow><mo data-mjx-texclass="CLOSE">]</mo></mrow></mrow></mover><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">(</mo><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mi>x</mi><mi>y</mi></mrow><mo>→</mo></mover></mrow><mo>+</mo><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mi>y</mi><mi>x</mi></mrow><mo>→</mo></mover></mrow><mo data-mjx-texclass="CLOSE">)</mo></mrow><mo>+</mo><mi>y</mi><mo>=</mo><mi>y</mi></mtd></mtr><mtr><mtd></mtd><mtd><mover><mrow data-mjx-texclass="OP"><mover><mo>⇔</mo><mo>⏞</mo></mover></mrow><mrow data-mjx-texclass="ORD"><mrow data-mjx-texclass="INNER"><mo data-mjx-texclass="OPEN">[</mo><mrow data-mjx-texclass="ORD"><mtext>O</mtext></mrow><mrow data-mjx-texclass="ORD"><mtext>.2</mtext></mrow><mo data-mjx-texclass="CLOSE">]</mo></mrow></mrow></mover><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mi>x</mi><mi>y</mi></mrow><mo>→</mo></mover></mrow><mo>+</mo><mrow data-mjx-texclass="ORD"><mover><mrow data-mjx-texclass="ORD"><mi>y</mi><mi>x</mi></mrow><mo>→</mo></mover></mrow><mo>=</mo><mn>0</mn><mo>∈</mo><msub><mi>T</mi><mrow data-mjx-texclass="ORD"><mi>M</mi></mrow></msub></mtd></mtr><mtr><mtd></mtd></mtr></mtable></mrow></mstyle></mrow></math>
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