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<b>let </b><font color="Maroon" title="c1">f</font>, <font color="Maroon" title="c2">g</font> be   <a href="finseq_1.html#NM1" title="FINSEQ_1:NM.1">FinSequence</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c1">f</font> <a href="graph_2.html#K3" title="GRAPH_2:func.3">^'</a> <font color="Maroon" title="c2">g</font> is <a href="funct_1.html#V3" title="FUNCT_1:attr.3">constant</a> implies <font color="Maroon" title="c1">f</font> is <a href="funct_1.html#V3" title="FUNCT_1:attr.3">constant</a> )</span><br/>

<b>assume </b><a NAME="E1:47"/>
<font color="Maroon" title="c1">f</font> <a href="graph_2.html#K3" title="GRAPH_2:func.3">^'</a> <font color="Maroon" title="c2">g</font> is <a href="funct_1.html#V3" title="FUNCT_1:attr.3">constant</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c1">f</font> is <a href="funct_1.html#V3" title="FUNCT_1:attr.3">constant</a></span><br/>

<b>then reconsider </b><font color="Maroon" title="c3">h</font> = <font color="Maroon" title="c1">f</font> <a href="graph_2.html#K3" title="GRAPH_2:func.3">^'</a> <font color="Maroon" title="c2">g</font> as  <a href="funct_1.html#V3" title="FUNCT_1:attr.3">constant</a> <a href="finseq_1.html#NM1" title="FINSEQ_1:NM.1">FinSequence</a> ;<br/>
<a NAME="E3:47"/>
 <a href="relat_1.html#K2" title="RELAT_1:func.2">rng</a> <font color="Maroon" title="c1">f</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="relat_1.html#K2" title="RELAT_1:func.2">rng</a> <font color="Maroon" title="c3">h</font>
 
<b>by </b><i><a class="ref" href="topreal8.html#T10" title="TOPREAL8:th.10">TOPREAL8:10</a></i>;<br/>
<b>hence </b><a NAME="E4:47"/>
<font color="Maroon" title="c1">f</font> is <a href="funct_1.html#V3" title="FUNCT_1:attr.3">constant</a>
 <b>by </b><i><a class="ref" href="sprect_1.html#T1" title="SPRECT_1:th.1">SPRECT_1:1</a>, <a class="ref" href="sprect_1.html#T2" title="SPRECT_1:th.2">SPRECT_1:2</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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