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<span class="kw">let </span><font color="Maroon" title="c1">v</font> be    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</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">  for <font color="Olive" title="b1">V</font>, <font color="Olive" title="b2">A</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b3">D</font> being    <a href="nomin_1.html#M2" title="NOMIN_1:mode.2">TypeSCNominativeData</a> of <font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">A</font>  st <font color="Maroon" title="c1">v</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b1">V</font> holds <br/> <a href="nomin_1.html#K12" title="NOMIN_1:func.12">denaming</a> (<font color="Maroon" title="c1">v</font>,<span class="p1">(<span class="default"><a href="nomin_1.html#K13" title="NOMIN_1:func.13">naming</a> (<font color="Olive" title="b1">V</font>,<font color="Olive" title="b2">A</font>,<font color="Maroon" title="c1">v</font>,<font color="Olive" title="b3">D</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">D</font></span><br/><span class="kw">let </span><font color="Maroon" title="c2">V</font>, <font color="Maroon" title="c3">A</font> be    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</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">  for <font color="Olive" title="b1">D</font> being    <a href="nomin_1.html#M2" title="NOMIN_1:mode.2">TypeSCNominativeData</a> of <font color="Maroon" title="c2">V</font>,<font color="Maroon" title="c3">A</font>  st <font color="Maroon" title="c1">v</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c2">V</font> holds <br/> <a href="nomin_1.html#K12" title="NOMIN_1:func.12">denaming</a> (<font color="Maroon" title="c1">v</font>,<span class="p1">(<span class="default"><a href="nomin_1.html#K13" title="NOMIN_1:func.13">naming</a> (<font color="Maroon" title="c2">V</font>,<font color="Maroon" title="c3">A</font>,<font color="Maroon" title="c1">v</font>,<font color="Olive" title="b1">D</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">D</font></span><br/><span class="kw">let </span><font color="Maroon" title="c4">D</font> be    <a href="nomin_1.html#M2" title="NOMIN_1:mode.2">TypeSCNominativeData</a> of <font color="Maroon" title="c2">V</font>,<font color="Maroon" title="c3">A</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"> ( <font color="Maroon" title="c1">v</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c2">V</font> implies  <a href="nomin_1.html#K12" title="NOMIN_1:func.12">denaming</a> (<font color="Maroon" title="c1">v</font>,<span class="p1">(<span class="default"><a href="nomin_1.html#K13" title="NOMIN_1:func.13">naming</a> (<font color="Maroon" title="c2">V</font>,<font color="Maroon" title="c3">A</font>,<font color="Maroon" title="c1">v</font>,<font color="Maroon" title="c4">D</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">D</font> )</span><br/>







<span class="kw">assume </span><a NAME="E1:91"/><span class="lab"><font color="Green" title="E51">A1</font></span>: 
<font color="Maroon" title="c1">v</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c2">V</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">  <a href="nomin_1.html#K12" title="NOMIN_1:func.12">denaming</a> (<font color="Maroon" title="c1">v</font>,<span class="p1">(<span class="default"><a href="nomin_1.html#K13" title="NOMIN_1:func.13">naming</a> (<font color="Maroon" title="c2">V</font>,<font color="Maroon" title="c3">A</font>,<font color="Maroon" title="c1">v</font>,<font color="Maroon" title="c4">D</font>)</span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c4">D</font></span><br/>

<a NAME="E2:91"/>
 <a href="nomin_1.html#K13" title="NOMIN_1:func.13">naming</a> (<font color="Maroon" title="c2">V</font>,<font color="Maroon" title="c3">A</font>,<font color="Maroon" title="c1">v</font>,<font color="Maroon" title="c4">D</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c1">v</font> <a href="funcop_1.html#K17" title="FUNCOP_1:func.17">.--&gt;</a> <font color="Maroon" title="c4">D</font>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:91"><span class="lab"><font color="Green" title="E51">A1</font></span></a>, <a class="ref" href="nomin_1.html#D13" target="_self" onmouseover="rs('nomin_1/D13')" onmouseout="rh()">Def13</a></span>;<br/>
<a NAME="E3:91"/><span class="kw">then </span>
<font color="Maroon" title="c1">v</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relat_1.html#NK1" title="RELAT_1:NK.1">dom</a> <span class="p1">(<span class="default"><a href="nomin_1.html#K13" title="NOMIN_1:func.13">naming</a> (<font color="Maroon" title="c2">V</font>,<font color="Maroon" title="c3">A</font>,<font color="Maroon" title="c1">v</font>,<font color="Maroon" title="c4">D</font>)</span>)</span>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="tarski.html#D1" onmouseover="rs('tarski/D1')" onmouseout="rh()">TARSKI:def 1</a></span>;<br/>
<span class="kw">hence </span> <a href="nomin_1.html#K12" title="NOMIN_1:func.12">denaming</a> (<font color="Maroon" title="c1">v</font>,<span class="p1">(<span class="default"><a href="nomin_1.html#K13" title="NOMIN_1:func.13">naming</a> (<font color="Maroon" title="c2">V</font>,<font color="Maroon" title="c3">A</font>,<font color="Maroon" title="c1">v</font>,<font color="Maroon" title="c4">D</font>)</span>)</span>) = 
<span class="p1">(<span class="default"><a href="nomin_1.html#K13" title="NOMIN_1:func.13">naming</a> (<font color="Maroon" title="c2">V</font>,<font color="Maroon" title="c3">A</font>,<font color="Maroon" title="c1">v</font>,<font color="Maroon" title="c4">D</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c1">v</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="nomin_1.html#D12" target="_self" onmouseover="rs('nomin_1/D12')" onmouseout="rh()">Def12</a></span>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon" title="c1">v</font> <a href="funcop_1.html#K17" title="FUNCOP_1:func.17">.--&gt;</a> <font color="Maroon" title="c4">D</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c1">v</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:91"><span class="lab"><font color="Green" title="E51">A1</font></span></a>, <a class="ref" href="nomin_1.html#D13" target="_self" onmouseover="rs('nomin_1/D13')" onmouseout="rh()">Def13</a></span>
<br/>.= 
<font color="Maroon" title="c4">D</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="funcop_1.html#T72" onmouseover="rs('funcop_1/T72')" onmouseout="rh()">FUNCOP_1:72</a></span>
;<br/> <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/>


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