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<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="26_1_1_1"><b>now </b></a><div class="add"><b>assume </b><a NAME="E1:26_1_1_1"/>
( <font color="Maroon">a</font> <a href="xxreal_0.html#R1">&lt;</a> 0 &amp; <font color="Maroon">b</font> is   <a href="int_1.html#NM1">Integer</a> )
 ;<br/><b>then reconsider </b><font color="Maroon">k</font> = <font color="Maroon">b</font> as   <a href="int_1.html#NM1">Integer</a> ;<br/><b>take </b><font color="Maroon">c</font> = <font color="Maroon">a</font> <a href="prepower.html#K6">#Z</a> <font color="Maroon">k</font>;<br/><b>thus </b><a NAME="E3:26_1_1_1"/>
 ex <font color="Olive">k</font> being  <a href="int_1.html#NM1">Integer</a> st <br/>( <font color="Olive">k</font> <a href="hidden.html#R1">=</a> <font color="Maroon">b</font> &amp; <font color="Maroon">c</font> <a href="hidden.html#R1">=</a> <font color="Maroon">a</font> <a href="prepower.html#K6">#Z</a> <font color="Olive">k</font> )
 ;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E2:26_1_1"/>
( ( <font color="Maroon">a</font> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0 implies  ex <font color="Olive">b<sub>1</sub></font> being <a href="xreal_0.html#V1">real</a>  <a href="ordinal1.html#NM1" target="_self">number</a>  st <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">a</font> <a href="prepower.html#K12">#R</a> <font color="Maroon">b</font> ) &amp; ( <font color="Maroon">a</font> <a href="hidden.html#R1">=</a> 0 &amp; <font color="Maroon">b</font> <a href="xxreal_0.html#NR4" target="_self">&gt;</a> 0 implies  ex <font color="Olive">b<sub>1</sub></font> being <a href="xreal_0.html#V1">real</a>  <a href="ordinal1.html#NM1" target="_self">number</a>  st <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a> 0 ) &amp; ( <font color="Maroon">a</font> <a href="hidden.html#R1">=</a> 0 &amp; <font color="Maroon">b</font> <a href="hidden.html#R1">=</a> 0 implies  ex <font color="Olive">b<sub>1</sub></font> being <a href="xreal_0.html#V1">real</a>  <a href="ordinal1.html#NM1" target="_self">number</a>  st <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a> 1 ) &amp; ( <font color="Maroon">a</font> <a href="xxreal_0.html#R1">&lt;</a> 0 &amp; <font color="Maroon">b</font> is   <a href="int_1.html#NM1">Integer</a> implies  ex <font color="Olive">b<sub>1</sub></font> being <a href="xreal_0.html#V1">real</a>  <a href="ordinal1.html#NM1" target="_self">number</a>  ex <font color="Olive">k</font> being  <a href="int_1.html#NM1">Integer</a> st <br/>( <font color="Olive">k</font> <a href="hidden.html#R1">=</a> <font color="Maroon">b</font> &amp; <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">a</font> <a href="prepower.html#K6">#Z</a> <font color="Olive">k</font> ) ) )
 ;<br/>


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