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Display information for equation id:math.233170.20 on revision:233170

* Page found: Material conditional (eq math.233170.20)

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Occurrences on the following pages:

Hash: 8766a91d190042e5452a50d821b7c34d

TeX (original user input):

\varnothing\models(\varphi_1\land\dots\land\varphi_n\rightarrow\psi)

TeX (checked):

\varnothing \models (\varphi _{1}\land \dots \land \varphi _{n}\rightarrow \psi )

LaTeXML (experimental; uses MathML) rendering

MathML (3.079 KB / 807 B) :

( φ 1 φ n ψ ) fragments models fragments normal-( subscript φ 1 normal-… subscript φ n normal-→ ψ normal-) {\displaystyle\varnothing\models(\varphi_{1}\land\dots\land\varphi_{n}% \rightarrow\psi)}
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle\varnothing\models(\varphi_{1}\land\dots\land\varphi_{n}%&#10;\rightarrow\psi)}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1b">
      <mi mathvariant="normal" id="p1.1.m1.1.1" xref="p1.1.m1.1.1.cmml"></mi>
      <mo id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml"></mo>
      <mrow id="p1.1.m1.1.5" xref="p1.1.m1.1.5.cmml">
        <mo stretchy="false" id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">(</mo>
        <msub id="p1.1.m1.1.14" xref="p1.1.m1.1.14.cmml">
          <mi id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">φ</mi>
          <mn id="p1.1.m1.1.5.1" xref="p1.1.m1.1.5.1.cmml">1</mn>
        </msub>
        <mo id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml"></mo>
        <mi mathvariant="normal" id="p1.1.m1.1.7" xref="p1.1.m1.1.7.cmml"></mi>
        <mo id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml"></mo>
        <msub id="p1.1.m1.1.15" xref="p1.1.m1.1.15.cmml">
          <mi id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">φ</mi>
          <mi id="p1.1.m1.1.10.1" xref="p1.1.m1.1.10.1.cmml">n</mi>
        </msub>
        <mo id="p1.1.m1.1.11" xref="p1.1.m1.1.11.cmml"></mo>
        <mi id="p1.1.m1.1.12">ψ</mi>
        <mo stretchy="false" id="p1.1.m1.1.13" xref="p1.1.m1.1.13.cmml">)</mo>
      </mrow>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1c">
      <cerror id="p1.1.m1.1d">
        <csymbol cd="ambiguous" id="p1.1.m1.1e">fragments</csymbol>
        <emptyset id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1"/>
        <csymbol cd="latexml" id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">models</csymbol>
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          <csymbol cd="ambiguous" id="p1.1.m1.1.5a.cmml" xref="p1.1.m1.1.5">fragments</csymbol>
          <ci id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3">normal-(</ci>
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            <csymbol cd="ambiguous" id="p1.1.m1.1.14.1.cmml">subscript</csymbol>
            <ci id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">φ</ci>
            <cn type="integer" id="p1.1.m1.1.5.1.cmml" xref="p1.1.m1.1.5.1">1</cn>
          </apply>
          <and id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6"/>
          <ci id="p1.1.m1.1.7.cmml" xref="p1.1.m1.1.7">normal-…</ci>
          <and id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8"/>
          <apply id="p1.1.m1.1.15.cmml" xref="p1.1.m1.1.15">
            <csymbol cd="ambiguous" id="p1.1.m1.1.15.1.cmml">subscript</csymbol>
            <ci id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">φ</ci>
            <ci id="p1.1.m1.1.10.1.cmml" xref="p1.1.m1.1.10.1">n</ci>
          </apply>
          <ci id="p1.1.m1.1.11.cmml" xref="p1.1.m1.1.11">normal-→</ci>
          <csymbol cd="unknown" id="p1.1.m1.1.5b.cmml" xref="p1.1.m1.1.5">ψ</csymbol>
          <ci id="p1.1.m1.1.13.cmml" xref="p1.1.m1.1.13">normal-)</ci>
        </cerror>
      </cerror>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1f">{\displaystyle\varnothing\models(\varphi_{1}\land\dots\land\varphi_{n}%
\rightarrow\psi)}</annotation>
  </semantics>
</math>

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SVG (6.8 KB / 2.809 KB) :

normal empty-set models left-parenthesis phi 1 logical-and ellipsis logical-and phi Subscript n Baseline right-arrow psi right-parenthesis

MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools) rendering

MathML (0 B / 8 B) :

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SVG (0 B / 8 B) :


PNG (0 B / 8 B) :


Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Unknown relation. Cannot translate: \models - Reason: No translation possible for given token

Translation to Mathematica

In Mathematica:

Unknown relation. Cannot translate: \models - Reason: No translation possible for given token

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