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<span class="kw">let </span><font color="Maroon" title="c1">A</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">f</font>, <font color="Olive" title="b2">g</font> being  <font color="Maroon" title="c1">A</font> <a href="relat_1.html#V4" title="RELAT_1:attr.4">-defined</a>  <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a><br/>  for <font color="Olive" title="b3">h</font> being   <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a> holds  <font color="Olive" title="b3">h</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <font color="Olive" title="b1">f</font>,<font color="Olive" title="b3">h</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <font color="Olive" title="b2">g</font> <a href="funct_7.html#R1" title="FUNCT_7:pred.1">equal_outside</a> <font color="Maroon" title="c1">A</font></span><br/><span class="kw">let </span><font color="Maroon" title="c2">f</font>, <font color="Maroon" title="c3">g</font> be  <font color="Maroon" title="c1">A</font> <a href="relat_1.html#V4" title="RELAT_1:attr.4">-defined</a>  <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">h</font> being   <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a> holds  <font color="Olive" title="b1">h</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <font color="Maroon" title="c2">f</font>,<font color="Olive" title="b1">h</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <font color="Maroon" title="c3">g</font> <a href="funct_7.html#R1" title="FUNCT_7:pred.1">equal_outside</a> <font color="Maroon" title="c1">A</font></span><br/><span class="kw">let </span><font color="Maroon" title="c4">h</font> be   <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c4">h</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <font color="Maroon" title="c2">f</font>,<font color="Maroon" title="c4">h</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <font color="Maroon" title="c3">g</font> <a href="funct_7.html#R1" title="FUNCT_7:pred.1">equal_outside</a> <font color="Maroon" title="c1">A</font></span><br/>





<a NAME="E1:178"/>
<font color="Maroon" title="c4">h</font>,<font color="Maroon" title="c4">h</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <font color="Maroon" title="c2">f</font> <a href="funct_7.html#R1" title="FUNCT_7:pred.1">equal_outside</a> <font color="Maroon" title="c1">A</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="funct_7.html#T130" target="_self" title="FUNCT_7:th.130">Th132</a></span>;<br/>
<a NAME="E2:178"/><span class="kw">then </span><span class="lab"><font color="Green" title="E84">A1</font></span>: 
<font color="Maroon" title="c4">h</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <font color="Maroon" title="c2">f</font>,<font color="Maroon" title="c4">h</font> <a href="funct_7.html#R1" title="FUNCT_7:pred.1">equal_outside</a> <font color="Maroon" title="c1">A</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="funct_7.html#T26" target="_self" title="FUNCT_7:th.26">Th28</a></span>;<br/>
<a NAME="E3:178"/>
<font color="Maroon" title="c4">h</font>,<font color="Maroon" title="c4">h</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <font color="Maroon" title="c3">g</font> <a href="funct_7.html#R1" title="FUNCT_7:pred.1">equal_outside</a> <font color="Maroon" title="c1">A</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="funct_7.html#T130" target="_self" title="FUNCT_7:th.130">Th132</a></span>;<br/>
<span class="kw">hence </span><a NAME="E4:178"/>
<font color="Maroon" title="c4">h</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <font color="Maroon" title="c2">f</font>,<font color="Maroon" title="c4">h</font> <a href="funct_4.html#K1" title="FUNCT_4:func.1">+*</a> <font color="Maroon" title="c3">g</font> <a href="funct_7.html#R1" title="FUNCT_7:pred.1">equal_outside</a> <font color="Maroon" title="c1">A</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:178"><span class="lab"><font color="Green" title="E84">A1</font></span></a>, <a class="ref" href="funct_7.html#T27" target="_self" title="FUNCT_7:th.27">Th29</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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