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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E46">ThConvAGI</font></span>: <a NAME="T44"><span class="comment"><font color="firebrick">:: GTARSKI2:44</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</font>, <font color="Olive" title="b3">c</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <a href="gtarski2.html#K2" title="GTARSKI2:func.2">TarskiEuclid2Space</a>  st  ex <font color="Olive" title="b4">jj</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a> st <br/>(  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b4">jj</font> &amp; <font color="Olive" title="b4">jj</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> 1 &amp; <span class="p1">(<span class="default"><a href="gtarski2.html#K4" title="GTARSKI2:func.4">Tn2TR</a> <font color="Olive" title="b2">b</font></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><a href="gtarski2.html#K4" title="GTARSKI2:func.4">Tn2TR</a> <font color="Olive" title="b1">a</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">jj</font> <a href="rlvect_1.html#K1" title="RLVECT_1:func.1">*</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="gtarski2.html#K4" title="GTARSKI2:func.4">Tn2TR</a> <font color="Olive" title="b3">c</font></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p2">(<span class="default"><a href="gtarski2.html#K4" title="GTARSKI2:func.4">Tn2TR</a> <font color="Olive" title="b1">a</font></span>)</span></span>)</span> ) holds <br/> <a href="gtarski2.html#K4" title="GTARSKI2:func.4">Tn2TR</a> <font color="Olive" title="b2">b</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="rltopsp1.html#K1" title="RLTOPSP1:func.1">LSeg</a> (<span class="p1">(<span class="default"><a href="gtarski2.html#K4" title="GTARSKI2:func.4">Tn2TR</a> <font color="Olive" title="b1">a</font></span>)</span>,<span class="p1">(<span class="default"><a href="gtarski2.html#K4" title="GTARSKI2:func.4">Tn2TR</a> <font color="Olive" title="b3">c</font></span>)</span>)</div></div>
