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<span class="kw">let </span><font color="Maroon" title="c1">p</font> be   <a href="funct_7.html#NM1" title="FUNCT_7:NM.1">FuncSequence</a>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <span class="p1">(<span class="default"><a href="funct_7.html#K3" title="FUNCT_7:func.3">compose</a> (<font color="Maroon" title="c1">p</font>,<span class="p2">(<span class="default"><a href="funct_7.html#K5" title="FUNCT_7:func.5">firstdom</a> <font color="Maroon" title="c1">p</font></span>)</span>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="funct_7.html#K5" title="FUNCT_7:func.5">firstdom</a> <font color="Maroon" title="c1">p</font></span><br/>

<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="84_1"><span class="kw">per </span></a><a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="kw">cases </span></a><span class="hide"><a NAME="E1:84_1"/>
( <font color="Maroon" title="c1">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  or <font color="Maroon" title="c1">p</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="84_1_1"><span class="kw">suppose </span></a><a NAME="E1:84_1_1"/>
<font color="Maroon" title="c1">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> 
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <span class="p1">(<span class="default"><a href="funct_7.html#K3" title="FUNCT_7:func.3">compose</a> (<font color="Maroon" title="c1">p</font>,<span class="p2">(<span class="default"><a href="funct_7.html#K5" title="FUNCT_7:func.5">firstdom</a> <font color="Maroon" title="c1">p</font></span>)</span>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="funct_7.html#K5" title="FUNCT_7:func.5">firstdom</a> <font color="Maroon" title="c1">p</font></span><br/><div class="add"><a NAME="E2:84_1_1"/><span class="kw">then </span>
 <a href="funct_7.html#K3" title="FUNCT_7:func.3">compose</a> (<font color="Maroon" title="c1">p</font>,<span class="p1">(<span class="default"><a href="funct_7.html#K5" title="FUNCT_7:func.5">firstdom</a> <font color="Maroon" title="c1">p</font></span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="partfun1.html#K6" title="PARTFUN1:func.6">id</a> <span class="p1">(<span class="default"><a href="funct_7.html#K5" title="FUNCT_7:func.5">firstdom</a> <font color="Maroon" title="c1">p</font></span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="funct_7.html#T39" target="_self" onmouseover="rs('funct_7/T39')" onmouseout="rh()">Th38</a></span>;<br/><span class="kw">hence </span><a NAME="E3:84_1_1"/>
 <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <span class="p1">(<span class="default"><a href="funct_7.html#K3" title="FUNCT_7:func.3">compose</a> (<font color="Maroon" title="c1">p</font>,<span class="p2">(<span class="default"><a href="funct_7.html#K5" title="FUNCT_7:func.5">firstdom</a> <font color="Maroon" title="c1">p</font></span>)</span>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="funct_7.html#K5" title="FUNCT_7:func.5">firstdom</a> <font color="Maroon" title="c1">p</font>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="84_1_2"><span class="kw">suppose </span></a><a NAME="E1:84_1_2"/>
<font color="Maroon" title="c1">p</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> 
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <span class="p1">(<span class="default"><a href="funct_7.html#K3" title="FUNCT_7:func.3">compose</a> (<font color="Maroon" title="c1">p</font>,<span class="p2">(<span class="default"><a href="funct_7.html#K5" title="FUNCT_7:func.5">firstdom</a> <font color="Maroon" title="c1">p</font></span>)</span>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="funct_7.html#K5" title="FUNCT_7:func.5">firstdom</a> <font color="Maroon" title="c1">p</font></span><br/><div class="add"><a NAME="E2:84_1_2"/><span class="kw">then </span>
 <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <span class="p1">(<span class="default"><a href="funct_7.html#K3" title="FUNCT_7:func.3">compose</a> (<font color="Maroon" title="c1">p</font>,<span class="p2">(<span class="default"><a href="funct_7.html#K5" title="FUNCT_7:func.5">firstdom</a> <font color="Maroon" title="c1">p</font></span>)</span>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="funct_7.html#K5" title="FUNCT_7:func.5">firstdom</a> <font color="Maroon" title="c1">p</font></span>)</span> <a href="xboole_0.html#K3" title="XBOOLE_0:func.3">/\</a> <span class="p1">(<span class="default"><a href="funct_7.html#K5" title="FUNCT_7:func.5">firstdom</a> <font color="Maroon" title="c1">p</font></span>)</span>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="funct_7.html#T61" target="_self" onmouseover="rs('funct_7/T61')" onmouseout="rh()">Th60</a></span>;<br/><span class="kw">hence </span><a NAME="E3:84_1_2"/>
 <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <span class="p1">(<span class="default"><a href="funct_7.html#K3" title="FUNCT_7:func.3">compose</a> (<font color="Maroon" title="c1">p</font>,<span class="p2">(<span class="default"><a href="funct_7.html#K5" title="FUNCT_7:func.5">firstdom</a> <font color="Maroon" title="c1">p</font></span>)</span>)</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="funct_7.html#K5" title="FUNCT_7:func.5">firstdom</a> <font color="Maroon" title="c1">p</font>
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div>

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