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Display information for equation id:math.220141.1 on revision:220141
* Page found: Modus ponens (eq math.220141.1)
(force rerendering)Occurrences on the following pages:
Hash: dec130235bb9231c13e30e8166a1f2b7
TeX (original user input):
P \to Q,\; P\;\; \vdash\;\; Q
TeX (checked):
P\to Q,\;P\;\;\vdash \;\;Q
LaTeXML (experimental; uses MathML) rendering
MathML (1.806 KB / 532 B) :

<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle P\to Q,\;P\;\;\vdash\;\;Q}" display="inline">
<semantics id="p1.1.m1.1a">
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<mrow id="p1.1.m1.1.13.1" xref="p1.1.m1.1.13.1.cmml">
<mi id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml">P</mi>
<mo id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">→</mo>
<mrow id="p1.1.m1.1.13.1.1" xref="p1.1.m1.1.13.1.1.1.cmml">
<mi id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">Q</mi>
<mo rspace="5.3pt" id="p1.1.m1.1.4" xref="p1.1.m1.1.13.1.1.1.cmml">,</mo>
<mpadded width="+5.6pt" id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">
<mi id="p1.1.m1.1.6a" xref="p1.1.m1.1.6.cmml">P</mi>
</mpadded>
</mrow>
</mrow>
<mo rspace="8.1pt" id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">⊢</mo>
<mi id="p1.1.m1.1.12" xref="p1.1.m1.1.12.cmml">Q</mi>
</mrow>
<annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
<apply id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13">
<csymbol cd="latexml" id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">proves</csymbol>
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<ci id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">→</ci>
<ci id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">𝑃</ci>
<list id="p1.1.m1.1.13.1.1.1.cmml" xref="p1.1.m1.1.13.1.1">
<ci id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">𝑄</ci>
<ci id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">𝑃</ci>
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</apply>
<ci id="p1.1.m1.1.12.cmml" xref="p1.1.m1.1.12">𝑄</ci>
</apply>
</annotation-xml>
<annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle P\to Q,\;P\;\;\vdash\;\;Q}</annotation>
</semantics>
</math>
SVG (3.782 KB / 1.631 KB) :
SVG (MathML can be enabled via browser plugin) rendering
MathML (768 B / 338 B) :

<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle P\to Q,\;P\;\;\vdash \;\;Q}">
<semantics>
<mrow class="MJX-TeXAtom-ORD">
<mstyle displaystyle="true" scriptlevel="0">
<mi>P</mi>
<mo stretchy="false">→<!-- → --></mo>
<mi>Q</mi>
<mo>,</mo>
<mspace width="thickmathspace" />
<mi>P</mi>
<mspace width="thickmathspace" />
<mspace width="thickmathspace" />
<mo>⊢<!-- ⊢ --></mo>
<mspace width="thickmathspace" />
<mspace width="thickmathspace" />
<mi>Q</mi>
</mstyle>
</mrow>
<annotation encoding="application/x-tex">{\displaystyle P\to Q,\;P\;\;\vdash \;\;Q}</annotation>
</semantics>
</math>
SVG (3.108 KB / 1.52 KB) :
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