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<span class="kw">let </span><font color="Maroon" title="c2">C</font> be   <a href="abcmiz_1.html#V3" title="ABCMIZ_1:attr.3">initialized</a>  <a href="abcmiz_1.html#NM5" title="ABCMIZ_1:NM.5">ConstructorSignature</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">e</font> being   <a href="abcmiz_a.html#V2" title="ABCMIZ_A:attr.2">constructor</a>  <a href="abcmiz_1.html#NM6" title="ABCMIZ_1:NM.6">expression</a> of <font color="Maroon" title="c2">C</font> holds   <a href="abcmiz_a.html#K10" title="ABCMIZ_A:func.10">main-constr</a> <font color="Olive" title="b1">e</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="abcmiz_a.html#K9" title="ABCMIZ_A:func.9">constrs</a> <font color="Olive" title="b1">e</font></span><br/><span class="kw">let </span><font color="Maroon" title="c3">e</font> be   <a href="abcmiz_a.html#V2" title="ABCMIZ_A:attr.2">constructor</a>  <a href="abcmiz_1.html#NM6" title="ABCMIZ_1:NM.6">expression</a> of <font color="Maroon" title="c2">C</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="abcmiz_a.html#K10" title="ABCMIZ_A:func.10">main-constr</a> <font color="Maroon" title="c3">e</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="abcmiz_a.html#K9" title="ABCMIZ_A:func.9">constrs</a> <font color="Maroon" title="c3">e</font></span><br/>



<a NAME="E1:58"/><span class="lab"><font color="Green" title="E29">A1</font></span>: 
 <a href="abcmiz_a.html#K10" title="ABCMIZ_A:func.10">main-constr</a> <font color="Maroon" title="c3">e</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">e</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a></span>)</span> <a href="mcart_1.html#K1" title="MCART_1:func.1">`1</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="abcmiz_a.html#D9" target="_self" title="ABCMIZ_A:def.9">Def9</a></span>;<br/>
<a NAME="E2:58"/>
 <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK2" title="RELAT_1:NK.2">dom</a> <font color="Maroon" title="c3">e</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="trees_1.html#T22" title="TREES_1:th.22">TREES_1:22</a></span>;<br/>
<a NAME="E3:58"/><span class="kw">then </span>
<font color="Maroon" title="c3">e</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#K2" title="RELAT_1:func.2">rng</a> <font color="Maroon" title="c3">e</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="funct_1.html#D3" title="FUNCT_1:def.3">FUNCT_1:def 3</a></span>;<br/>
<a NAME="E4:58"/><span class="kw">then </span><span class="lab"><font color="Green" title="E30">A2</font></span>: 
 <a href="abcmiz_a.html#K10" title="ABCMIZ_A:func.10">main-constr</a> <font color="Maroon" title="c3">e</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#K1" title="RELAT_1:func.1">proj1</a> <span class="p1">(<span class="default"><a href="relat_1.html#K2" title="RELAT_1:func.2">rng</a> <font color="Maroon" title="c3">e</font></span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:58"><span class="lab"><font color="Green" title="E29">A1</font></span></a>, <a class="ref" href="mcart_1.html#T86" title="MCART_1:th.86">MCART_1:86</a></span>;<br/>
<a NAME="E5:58"/>
 <a href="abcmiz_a.html#K10" title="ABCMIZ_A:func.10">main-constr</a> <font color="Maroon" title="c3">e</font> is   <a href="abcmiz_1.html#V2" title="ABCMIZ_1:attr.2">constructor</a>  <a href="msualg_1.html#NM2" title="MSUALG_1:NM.2">OperSymbol</a> of <font color="Maroon" title="c2">C</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="abcmiz_a.html#D11" target="_self" title="ABCMIZ_A:def.11">Def11</a></span>;<br/>
<a NAME="E6:58"/><span class="kw">then </span>
 <a href="abcmiz_a.html#K10" title="ABCMIZ_A:func.10">main-constr</a> <font color="Maroon" title="c3">e</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1"> { <span class="default"> <font color="Olive" title="b1">c</font> where <font color="Olive" title="b1">c</font> is   <a href="abcmiz_1.html#V2" title="ABCMIZ_1:attr.2">constructor</a>  <a href="msualg_1.html#NM2" title="MSUALG_1:NM.2">OperSymbol</a> of <font color="Maroon" title="c2">C</font> : verum </span> } </span> 
 
;<br/>
<span class="kw">hence </span><a NAME="E7:58"/>
 <a href="abcmiz_a.html#K10" title="ABCMIZ_A:func.10">main-constr</a> <font color="Maroon" title="c3">e</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="abcmiz_a.html#K9" title="ABCMIZ_A:func.9">constrs</a> <font color="Maroon" title="c3">e</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:58"><span class="lab"><font color="Green" title="E30">A2</font></span></a>, <a class="ref" href="xboole_0.html#D4" title="XBOOLE_0:def.4">XBOOLE_0:def 4</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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