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<b>let </b><font color="Maroon">g1</font> be   <a href="struct_0.html#NM6">Function</a> of <font color="Maroon">S</font>,<font color="Maroon">T</font>, <font color="Maroon">g2</font> be   <a href="struct_0.html#NM6">Function</a> of <font color="Maroon">S</font>,<font color="Maroon">T</font>;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:4_1_1"/><i><font color="Green">E45</font></i>: 
<span class="p1"><a href="waybel_1.html#K1">[</a><span class="default"><font color="Maroon">g1</font>,<font color="Maroon">d</font></span><a href="waybel_1.html#K1">]</a></span> is <a href="waybel_1.html#V3">Galois</a>
 <b>and </b><br/><a NAME="E2:4_1_1"/><i><font color="Green">E46</font></i>: 
<span class="p1"><a href="waybel_1.html#K1">[</a><span class="default"><font color="Maroon">g2</font>,<font color="Maroon">d</font></span><a href="waybel_1.html#K1">]</a></span> is <a href="waybel_1.html#V3">Galois</a>
 ;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="4_1_1_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">t</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">S</font>;<br/><b>reconsider </b><font color="Maroon">t'</font> = <font color="Maroon">t</font> as   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">S</font> ;<br/><a NAME="E2:4_1_1_1"/>
( <font color="Maroon">g1</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">t'</font> <a href="waybel_1.html#R4">is_maximum_of</a> <font color="Maroon">d</font> <a href="relset_1.html#K11">"</a> <span class="p1">(<span class="default"><a href="waybel_0.html#K5">downarrow</a> <font color="Maroon">t</font></span>)</span> &amp; <font color="Maroon">g2</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">t'</font> <a href="waybel_1.html#R4">is_maximum_of</a> <font color="Maroon">d</font> <a href="relset_1.html#K11">"</a> <span class="p1">(<span class="default"><a href="waybel_0.html#K5">downarrow</a> <font color="Maroon">t</font></span>)</span> )
 <b>by </b><i>, , <a class="ref" href="waybel_1.html#T12">WAYBEL_1:12</a></i>;<br/><a NAME="E3:4_1_1_1"/><b>then </b>
( <font color="Maroon">g1</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">t</font> <a href="hidden.html#R1">=</a>  <a href="yellow_0.html#K1">"\/"</a> <span class="p1">(<span class="default"><font color="Maroon">d</font> <a href="relset_1.html#K11">"</a> <span class="p2">(<span class="default"><a href="waybel_0.html#K5">downarrow</a> <font color="Maroon">t</font></span>)</span></span>)</span>,<font color="Maroon">T</font> &amp; <font color="Maroon">g2</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">t</font> <a href="hidden.html#R1">=</a>  <a href="yellow_0.html#K1">"\/"</a> <span class="p1">(<span class="default"><font color="Maroon">d</font> <a href="relset_1.html#K11">"</a> <span class="p2">(<span class="default"><a href="waybel_0.html#K5">downarrow</a> <font color="Maroon">t</font></span>)</span></span>)</span>,<font color="Maroon">T</font> )
 <b>by </b><i><a class="ref" href="waybel_1.html#D7">WAYBEL_1:def 7</a></i>;<br/><b>hence </b><a NAME="E4:4_1_1_1"/>
<font color="Maroon">g1</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">t</font> <a href="hidden.html#R1">=</a> <font color="Maroon">g2</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">t</font>
 ;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E4:4_1_1"/>
<font color="Maroon">g1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">g2</font>
 <b>by </b><i><a class="ref" href="funct_2.html#T113">FUNCT_2:113</a></i>;<br/>


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