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<div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="52_4_1_1"><span class="kw">per </span></a><a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="kw">cases </span></a><span class="hide"><a NAME="E1:52_4_1_1"/>
( <font color="Maroon" title="c2">a</font> is  <a href="ordinal1.html#V8" title="ORDINAL1:attr.8">zero</a>  or  not <font color="Maroon" title="c2">a</font> is  <a href="ordinal1.html#V8" title="ORDINAL1:attr.8">zero</a>  )
 </span>;<br/><div class="add"><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="52_4_1_1_1"><span class="kw">suppose </span></a><a NAME="E1:52_4_1_1_1"/>
<font color="Maroon" title="c2">a</font> is  <a href="ordinal1.html#V8" title="ORDINAL1:attr.8">zero</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">  <a href="newton05.html#K3" title="NEWTON05:func.3">Parity</a> <span class="p1">(<span class="default"><a href="newton05.html#K4" title="NEWTON05:func.4">Oddity</a> <font color="Maroon" title="c2">a</font></span>)</span> is  <a href="zfmisc_1.html#V1" title="ZFMISC_1:attr.1">trivial</a> </span><br/><div class="add"><span class="kw">hence </span><a NAME="E2:52_4_1_1_1"/>
 <a href="newton05.html#K3" title="NEWTON05:func.3">Parity</a> <span class="p1">(<span class="default"><a href="newton05.html#K4" title="NEWTON05:func.4">Oddity</a> <font color="Maroon" title="c2">a</font></span>)</span> is  <a href="zfmisc_1.html#V1" title="ZFMISC_1:attr.1">trivial</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="newton05.html#D3" target="_self" onmouseover="rs('newton05/D3')" onmouseout="rh()">Def1</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/></div><span class="kw">end;</span></div><div><a class="txt" onclick="hsNdiv(this)" href="javascript:()" title="52_4_1_1_2"><span class="kw">suppose </span></a><a NAME="E1:52_4_1_1_2"/>
 not <font color="Maroon" title="c2">a</font> is  <a href="ordinal1.html#V8" title="ORDINAL1:attr.8">zero</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">  <a href="newton05.html#K3" title="NEWTON05:func.3">Parity</a> <span class="p1">(<span class="default"><a href="newton05.html#K4" title="NEWTON05:func.4">Oddity</a> <font color="Maroon" title="c2">a</font></span>)</span> is  <a href="zfmisc_1.html#V1" title="ZFMISC_1:attr.1">trivial</a> </span><br/><div class="add"><span class="kw">then </span><span class="kw">reconsider </span><font color="Maroon" title="c3">a</font> = <font color="Maroon" title="c2">a</font> as   non  <a href="ordinal1.html#V8" title="ORDINAL1:attr.8">zero</a>  <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a> ;<br/><a NAME="E3:52_4_1_1_2"/>
(  <a href="newton05.html#K4" title="NEWTON05:func.4">Oddity</a> <span class="p1">(<span class="default"><a href="newton05.html#K4" title="NEWTON05:func.4">Oddity</a> <font color="Maroon" title="c3">a</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="newton05.html#K4" title="NEWTON05:func.4">Oddity</a> <font color="Maroon" title="c3">a</font> &amp; <span class="p1">(<span class="default"><a href="newton05.html#K4" title="NEWTON05:func.4">Oddity</a> <span class="p2">(<span class="default"><a href="newton05.html#K4" title="NEWTON05:func.4">Oddity</a> <font color="Maroon" title="c3">a</font></span>)</span></span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <span class="p1">(<span class="default"><a href="newton05.html#K3" title="NEWTON05:func.3">Parity</a> <span class="p2">(<span class="default"><a href="newton05.html#K4" title="NEWTON05:func.4">Oddity</a> <font color="Maroon" title="c3">a</font></span>)</span></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="newton05.html#K4" title="NEWTON05:func.4">Oddity</a> <font color="Maroon" title="c3">a</font> )
 ;<br/><span class="kw">hence </span><a NAME="E4:52_4_1_1_2"/>
 <a href="newton05.html#K3" title="NEWTON05:func.3">Parity</a> <span class="p1">(<span class="default"><a href="newton05.html#K4" title="NEWTON05:func.4">Oddity</a> <font color="Maroon" title="c2">a</font></span>)</span> is  <a href="zfmisc_1.html#V1" title="ZFMISC_1:attr.1">trivial</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="xcmplx_1.html#T7" onmouseover="rs('xcmplx_1/T7')" onmouseout="rh()">XCMPLX_1:7</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/></div><span class="kw">end;</span></div></div><span class="kw">end;</span></div>

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