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<span class="kw">let </span><font color="Maroon" title="c1">T</font> be    <a href="pre_topc.html#L1" title="PRE_TOPC:struct.1">TopStruct</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">c</font> being   <a href="topalg_6.html#NM1" title="TOPALG_6:NM.1">Curve</a> of <font color="Maroon" title="c1">T</font> holds  <font color="Olive" title="b1">c</font> is   <a href="topalg_6.html#V4" title="TOPALG_6:attr.4">parametrized-curve</a>  <a href="struct_0.html#NM12" title="STRUCT_0:NM.12">PartFunc</a> of <a href="topalg_2.html#K2" title="TOPALG_2:func.2">R^1</a>,<font color="Maroon" title="c1">T</font></span><br/><span class="kw">let </span><font color="Maroon" title="c2">c</font> be   <a href="topalg_6.html#NM1" title="TOPALG_6:NM.1">Curve</a> of <font color="Maroon" title="c1">T</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="c2">c</font> is   <a href="topalg_6.html#V4" title="TOPALG_6:attr.4">parametrized-curve</a>  <a href="struct_0.html#NM12" title="STRUCT_0:NM.12">PartFunc</a> of <a href="topalg_2.html#K2" title="TOPALG_2:func.2">R^1</a>,<font color="Maroon" title="c1">T</font></span><br/>



<a NAME="E1:42"/>
<font color="Maroon" title="c2">c</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <span class="p1"> { <span class="default"> <font color="Olive" title="b1">f</font> where <font color="Olive" title="b1">f</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="partfun1.html#K4" title="PARTFUN1:func.4">PFuncs</a> (<a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a>,<span class="p1">(<span class="default"><a href="struct_0.html#K2" title="STRUCT_0:func.2">[#]</a> <font color="Maroon" title="c1">T</font></span>)</span>) : <font color="Olive" title="b1">f</font> is   <a href="topalg_6.html#V4" title="TOPALG_6:attr.4">parametrized-curve</a>  <a href="struct_0.html#NM12" title="STRUCT_0:NM.12">PartFunc</a> of <a href="topalg_2.html#K2" title="TOPALG_2:func.2">R^1</a>,<font color="Maroon" title="c1">T</font> </span> } </span> 
 
;<br/>
<span class="kw">then </span><span class="kw">consider </span><font color="Maroon" title="c3">f</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="partfun1.html#K4" title="PARTFUN1:func.4">PFuncs</a> (<a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a>,<span class="p1">(<span class="default"><a href="struct_0.html#K2" title="STRUCT_0:func.2">[#]</a> <font color="Maroon" title="c1">T</font></span>)</span>)<span class="kw"> such that </span><br/><a NAME="E3:42"/><span class="lab"><font color="Green" title="E25">A1</font></span>: 
( <font color="Maroon" title="c2">c</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">f</font> &amp; <font color="Maroon" title="c3">f</font> is   <a href="topalg_6.html#V4" title="TOPALG_6:attr.4">parametrized-curve</a>  <a href="struct_0.html#NM12" title="STRUCT_0:NM.12">PartFunc</a> of <a href="topalg_2.html#K2" title="TOPALG_2:func.2">R^1</a>,<font color="Maroon" title="c1">T</font> )
 ;<br/>
<span class="kw">thus </span><a NAME="E4:42"/>
<font color="Maroon" title="c2">c</font> is   <a href="topalg_6.html#V4" title="TOPALG_6:attr.4">parametrized-curve</a>  <a href="struct_0.html#NM12" title="STRUCT_0:NM.12">PartFunc</a> of <a href="topalg_2.html#K2" title="TOPALG_2:func.2">R^1</a>,<font color="Maroon" title="c1">T</font>
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E3:42"><span class="lab"><font color="Green" title="E25">A1</font></span></a></span>; <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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