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Display information for equation id:math.225110.3 on revision:225110

* Page found: Logical equivalence (eq math.225110.3)

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Occurrences on the following pages:

Hash: a23d5ecdefae8b89845d9ef72a5c5e68

TeX (original user input):

\neg e \rightarrow \neg f

TeX (checked):

\neg e\rightarrow \neg f

LaTeXML (experimental; uses MathML) rendering

MathML (1.719 KB / 475 B) :

¬ e ¬ f 𝑒 𝑓 {\displaystyle\neg e\rightarrow\neg f}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle\neg e\rightarrow\neg f}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">
      <mrow id="p1.1.m1.1.6.1" xref="p1.1.m1.1.6.1.cmml">
        <mi mathvariant="normal" id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">¬</mi>
        <mo id="p1.1.m1.1.6.1.1" xref="p1.1.m1.1.6.1.1.cmml"></mo>
        <mi id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">e</mi>
      </mrow>
      <mo id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml"></mo>
      <mrow id="p1.1.m1.1.6.2" xref="p1.1.m1.1.6.2.cmml">
        <mi mathvariant="normal" id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">¬</mi>
        <mo id="p1.1.m1.1.6.2.1" xref="p1.1.m1.1.6.2.1.cmml"></mo>
        <mi id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">f</mi>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">
        <ci id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3"></ci>
        <apply id="p1.1.m1.1.6.1.cmml" xref="p1.1.m1.1.6.1">
          <times id="p1.1.m1.1.6.1.1.cmml" xref="p1.1.m1.1.6.1.1"/>
          <not id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1"/>
          <ci id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">𝑒</ci>
        </apply>
        <apply id="p1.1.m1.1.6.2.cmml" xref="p1.1.m1.1.6.2">
          <times id="p1.1.m1.1.6.2.1.cmml" xref="p1.1.m1.1.6.2.1"/>
          <not id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4"/>
          <ci id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">𝑓</ci>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle\neg e\rightarrow\neg f}</annotation>
  </semantics>
</math>

SVG (3.023 KB / 1.305 KB) :

normal not-sign times e right-arrow normal not-sign times f

SVG (MathML can be enabled via browser plugin) rendering

MathML (575 B / 311 B) :

¬ e ¬ f {\displaystyle \neg e\rightarrow \neg f}
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle \neg e\rightarrow \neg f}">
  <semantics>
    <mrow class="MJX-TeXAtom-ORD">
      <mstyle displaystyle="true" scriptlevel="0">
        <mi mathvariant="normal">&#x00AC;<!-- ¬ --></mi>
        <mi>e</mi>
        <mo stretchy="false">&#x2192;<!-- → --></mo>
        <mi mathvariant="normal">&#x00AC;<!-- ¬ --></mi>
        <mi>f</mi>
      </mstyle>
    </mrow>
    <annotation encoding="application/x-tex">{\displaystyle \neg e\rightarrow \neg f}</annotation>
  </semantics>
</math>

SVG (2.428 KB / 1.204 KB) :

{\displaystyle \neg e\rightarrow \neg f}

Translations to Computer Algebra Systems

Translation to Maple

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Translation to Mathematica

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