Jump to navigation Jump to search

General

Display information for equation id:math.222938.16 on revision:222938

* Page found: Complement (set theory) (eq math.222938.16)

(force rerendering)

Occurrences on the following pages:

Hash: df0cd68b9617acdfa513a15dbe2aae7d

TeX (original user input): 

\text{If }A\subset B\text{, then }B^{c}\subset A^{c}.

TeX (checked): 

{\text{If }}A\subset B{\text{, then }}B^{c}\subset A^{c}.

LaTeXML (experimental; uses MathML) rendering

MathML (3.79 KB / 776 B) :

If  ⁢ A ⊂ B ⁢ , then  ⁢ B c ⊂ A c . If  𝐴 𝐵 , then  superscript 𝐵 𝑐 superscript 𝐴 𝑐 {\displaystyle{\text{If }}A\subset B{\text{, then }}B^{{c}}\subset A^{{c}}.} 
<math xmlns="http://www.w3.org/1998/Math/MathML" id="p1.1.m1.1" class="ltx_Math" alttext="{\displaystyle{\text{If }}A\subset B{\text{, then }}B^{{c}}\subset A^{{c}}.}" display="inline">
  <semantics id="p1.1.m1.1a">
    <mrow id="p1.1.m1.1.12" xref="p1.1.m1.1.12.2.cmml">
      <mrow id="p1.1.m1.1.12.2" xref="p1.1.m1.1.12.2.cmml">
        <mrow id="p1.1.m1.1.12.2.2" xref="p1.1.m1.1.12.2.2.cmml">
          <mtext id="p1.1.m1.1.1" xref="p1.1.m1.1.1a.cmml">If </mtext>
          <mo id="p1.1.m1.1.12.2.2.1" xref="p1.1.m1.1.12.2.2.1.cmml">⁢</mo>
          <mi id="p1.1.m1.1.2" xref="p1.1.m1.1.2.cmml">A</mi>
        </mrow>
        <mo id="p1.1.m1.1.3" xref="p1.1.m1.1.3.cmml">⊂</mo>
        <mrow id="p1.1.m1.1.12.2.3" xref="p1.1.m1.1.12.2.3.cmml">
          <mi id="p1.1.m1.1.4" xref="p1.1.m1.1.4.cmml">B</mi>
          <mo id="p1.1.m1.1.12.2.3.1" xref="p1.1.m1.1.12.2.3.1.cmml">⁢</mo>
          <mtext id="p1.1.m1.1.5" xref="p1.1.m1.1.5a.cmml">, then </mtext>
          <mo id="p1.1.m1.1.12.2.3.1a" xref="p1.1.m1.1.12.2.3.1.cmml">⁢</mo>
          <msup id="p1.1.m1.1.12.2.3.2" xref="p1.1.m1.1.12.2.3.2.cmml">
            <mi id="p1.1.m1.1.6" xref="p1.1.m1.1.6.cmml">B</mi>
            <mi id="p1.1.m1.1.7.1" xref="p1.1.m1.1.7.1.cmml">c</mi>
          </msup>
        </mrow>
        <mo id="p1.1.m1.1.8" xref="p1.1.m1.1.8.cmml">⊂</mo>
        <msup id="p1.1.m1.1.12.2.4" xref="p1.1.m1.1.12.2.4.cmml">
          <mi id="p1.1.m1.1.9" xref="p1.1.m1.1.9.cmml">A</mi>
          <mi id="p1.1.m1.1.10.1" xref="p1.1.m1.1.10.1.cmml">c</mi>
        </msup>
      </mrow>
      <mo id="p1.1.m1.1.11" xref="p1.1.m1.1.12.2.cmml">.</mo>
    </mrow>
    <annotation-xml encoding="MathML-Content" id="p1.1.m1.1b">
      <apply id="p1.1.m1.1.12.2.cmml" xref="p1.1.m1.1.12">
        <and id="p1.1.m1.1.12.2a.cmml" xref="p1.1.m1.1.12"/>
        <apply id="p1.1.m1.1.12.2b.cmml" xref="p1.1.m1.1.12">
          <subset id="p1.1.m1.1.3.cmml" xref="p1.1.m1.1.3"/>
          <apply id="p1.1.m1.1.12.2.2.cmml" xref="p1.1.m1.1.12.2.2">
            <times id="p1.1.m1.1.12.2.2.1.cmml" xref="p1.1.m1.1.12.2.2.1"/>
            <ci id="p1.1.m1.1.1a.cmml" xref="p1.1.m1.1.1">
              <mtext id="p1.1.m1.1.1.cmml" xref="p1.1.m1.1.1">If </mtext>
            </ci>
            <ci id="p1.1.m1.1.2.cmml" xref="p1.1.m1.1.2">𝐴</ci>
          </apply>
          <apply id="p1.1.m1.1.12.2.3.cmml" xref="p1.1.m1.1.12.2.3">
            <times id="p1.1.m1.1.12.2.3.1.cmml" xref="p1.1.m1.1.12.2.3.1"/>
            <ci id="p1.1.m1.1.4.cmml" xref="p1.1.m1.1.4">𝐵</ci>
            <ci id="p1.1.m1.1.5a.cmml" xref="p1.1.m1.1.5">
              <mtext id="p1.1.m1.1.5.cmml" xref="p1.1.m1.1.5">, then </mtext>
            </ci>
            <apply id="p1.1.m1.1.12.2.3.2.cmml" xref="p1.1.m1.1.12.2.3.2">
              <csymbol cd="ambiguous" id="p1.1.m1.1.12.2.3.2.1.cmml" xref="p1.1.m1.1.12.2.3.2">superscript</csymbol>
              <ci id="p1.1.m1.1.6.cmml" xref="p1.1.m1.1.6">𝐵</ci>
              <ci id="p1.1.m1.1.7.1.cmml" xref="p1.1.m1.1.7.1">𝑐</ci>
            </apply>
          </apply>
        </apply>
        <apply id="p1.1.m1.1.12.2c.cmml" xref="p1.1.m1.1.12">
          <subset id="p1.1.m1.1.8.cmml" xref="p1.1.m1.1.8"/>
          <share href="#p1.1.m1.1.12.2.3.cmml" id="p1.1.m1.1.12.2d.cmml" xref="p1.1.m1.1.12"/>
          <apply id="p1.1.m1.1.12.2.4.cmml" xref="p1.1.m1.1.12.2.4">
            <csymbol cd="ambiguous" id="p1.1.m1.1.12.2.4.1.cmml" xref="p1.1.m1.1.12.2.4">superscript</csymbol>
            <ci id="p1.1.m1.1.9.cmml" xref="p1.1.m1.1.9">𝐴</ci>
            <ci id="p1.1.m1.1.10.1.cmml" xref="p1.1.m1.1.10.1">𝑐</ci>
          </apply>
        </apply>
      </apply>
    </annotation-xml>
    <annotation encoding="application/x-tex" id="p1.1.m1.1c">{\displaystyle{\text{If }}A\subset B{\text{, then }}B^{{c}}\subset A^{{c}}.}</annotation>
  </semantics>
</math>

SVG (7.871 KB / 2.966 KB) :

If times upper A subset-of upper B times comma then times upper B Superscript c Baseline subset-of upper A Superscript c Baseline period

SVG (MathML can be enabled via browser plugin) rendering

MathML (1015 B / 354 B) :

If  A ⊂ B , then  B c ⊂ A c . {\displaystyle {\text{If }}A\subset B{\text{, then }}B^{c}\subset A^{c}.} 
<math xmlns="http://www.w3.org/1998/Math/MathML" display="block" alttext="{\displaystyle {\text{If }}A\subset B{\text{, then }}B^{c}\subset A^{c}.}">
  <semantics>
    <mrow class="MJX-TeXAtom-ORD">
      <mstyle displaystyle="true" scriptlevel="0">
        <mrow class="MJX-TeXAtom-ORD">
          <mtext>If&#xA0;</mtext>
        </mrow>
        <mi>A</mi>
        <mo>&#x2282;<!-- ⊂ --></mo>
        <mi>B</mi>
        <mrow class="MJX-TeXAtom-ORD">
          <mtext>, then&#xA0;</mtext>
        </mrow>
        <msup>
          <mi>B</mi>
          <mrow class="MJX-TeXAtom-ORD">
            <mi>c</mi>
          </mrow>
        </msup>
        <mo>&#x2282;<!-- ⊂ --></mo>
        <msup>
          <mi>A</mi>
          <mrow class="MJX-TeXAtom-ORD">
            <mi>c</mi>
          </mrow>
        </msup>
        <mo>.</mo>
      </mstyle>
    </mrow>
    <annotation encoding="application/x-tex">{\displaystyle {\text{If }}A\subset B{\text{, then }}B^{c}\subset A^{c}.}</annotation>
  </semantics>
</math>

SVG (6.691 KB / 2.782 KB) :

{\displaystyle {\text{If }}A\subset B{\text{, then }}B^{c}\subset A^{c}.}

Translations to Computer Algebra Systems

Translation to Maple

In Maple:

Translation to Mathematica

In Mathematica:

Similar pages

Calculated based on the variables occurring on the entire Complement (set theory) page

Identifiers

MathML observations

0results

0results

no statistics present please run the maintenance script ExtractFeatures.php

0 results

0 results

Retrieved from "https://en.formulasearchengine.com/wiki/Special:FormulaInfo"