<?xml version="1.0"?>
<div class="add">

<a NAME="E1:70"/>
<span class="p1">(<span class="default"><a href="group_1.html#K2" title="GROUP_1:func.2">1.</a> <a href="vectsp_1.html#K3" title="VECTSP_1:func.3">F_Real</a> </span>)</span> <a href="rlvect_1.html#K4" title="RLVECT_1:func.4">+</a> <span class="p1">(<span class="default"><a href="group_1.html#K2" title="GROUP_1:func.2">1.</a> <a href="vectsp_1.html#K3" title="VECTSP_1:func.3">F_Real</a> </span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 <a href="binop_2.html#K23" title="BINOP_2:func.23">+</a> 1
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="70_1"><b>proof </b></a><div class="add">

<b>reconsider </b><font color="Maroon" title="c2">t</font> = 1 as    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a>  ;<br/>
<b>reconsider </b><font color="Maroon" title="c3">t</font> = <font color="Maroon" title="c2">t</font> as   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <a href="vectsp_1.html#K3" title="VECTSP_1:func.3">F_Real</a>  ;<br/>
<a NAME="E3:70_1"/>
<span class="p1">(<span class="default"><a href="group_1.html#K2" title="GROUP_1:func.2">1.</a> <a href="vectsp_1.html#K3" title="VECTSP_1:func.3">F_Real</a> </span>)</span> <a href="rlvect_1.html#K4" title="RLVECT_1:func.4">+</a> <span class="p1">(<span class="default"><a href="group_1.html#K2" title="GROUP_1:func.2">1.</a> <a href="vectsp_1.html#K3" title="VECTSP_1:func.3">F_Real</a> </span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> the <a href="rlvect_1.html#U1" title="RLVECT_1:sel.1">add</a> of <a href="vectsp_1.html#K3" title="VECTSP_1:func.3">F_Real</a>  <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> <font color="Maroon" title="c3">t</font>,<font color="Maroon" title="c3">t</font>
 
<b>by </b><i><a class="txt" href="vectsp_1.html#E29"><i><font color="Green" title="E8">Lm1</font></i></a></i>;<br/>
<b>hence </b><a NAME="E4:70_1"/>
<span class="p1">(<span class="default"><a href="group_1.html#K2" title="GROUP_1:func.2">1.</a> <a href="vectsp_1.html#K3" title="VECTSP_1:func.3">F_Real</a> </span>)</span> <a href="rlvect_1.html#K4" title="RLVECT_1:func.4">+</a> <span class="p1">(<span class="default"><a href="group_1.html#K2" title="GROUP_1:func.2">1.</a> <a href="vectsp_1.html#K3" title="VECTSP_1:func.3">F_Real</a> </span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 <a href="binop_2.html#K23" title="BINOP_2:func.23">+</a> 1
 <b>by </b><i><a class="ref" href="binop_2.html#D9" title="BINOP_2:def.9">BINOP_2:def 9</a></i>;<br/>


</div><b>end;</b></div>
<b>hence </b><a NAME="E2:70"/>
<span class="p1">(<span class="default"><a href="group_1.html#K2" title="GROUP_1:func.2">1.</a> <a href="vectsp_1.html#K3" title="VECTSP_1:func.3">F_Real</a> </span>)</span> <a href="rlvect_1.html#K4" title="RLVECT_1:func.4">+</a> <span class="p1">(<span class="default"><a href="group_1.html#K2" title="GROUP_1:func.2">1.</a> <a href="vectsp_1.html#K3" title="VECTSP_1:func.3">F_Real</a> </span>)</span> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="rlvect_1.html#K1" title="RLVECT_1:func.1">0.</a> <a href="vectsp_1.html#K3" title="VECTSP_1:func.3">F_Real</a> 
 ;<br/>


</div>
