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<span class="kw">let </span><font color="Maroon" title="c1">G1</font> be   <a href="glib_000.html#NM2" title="GLIB_000:NM.2">_Graph</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">E</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">G2</font> being    <a href="glib_007.html#M1" title="GLIB_007:mode.1">reverseEdgeDirections</a> of <font color="Maroon" title="c1">G1</font>,<font color="Olive" title="b1">E</font> holds <br/> ( <font color="Maroon" title="c1">G1</font> is  <a href="glpacy00.html#V4" title="GLPACY00:attr.4">Cycle-like</a>  iff <font color="Olive" title="b2">G2</font> is  <a href="glpacy00.html#V4" title="GLPACY00:attr.4">Cycle-like</a>  )</span><br/><span class="kw">let </span><font color="Maroon" title="c2">E</font> be    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</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">G2</font> being    <a href="glib_007.html#M1" title="GLIB_007:mode.1">reverseEdgeDirections</a> of <font color="Maroon" title="c1">G1</font>,<font color="Maroon" title="c2">E</font> holds <br/> ( <font color="Maroon" title="c1">G1</font> is  <a href="glpacy00.html#V4" title="GLPACY00:attr.4">Cycle-like</a>  iff <font color="Olive" title="b1">G2</font> is  <a href="glpacy00.html#V4" title="GLPACY00:attr.4">Cycle-like</a>  )</span><br/><span class="kw">let </span><font color="Maroon" title="c3">G2</font> be    <a href="glib_007.html#M1" title="GLIB_007:mode.1">reverseEdgeDirections</a> of <font color="Maroon" title="c1">G1</font>,<font color="Maroon" title="c2">E</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="c1">G1</font> is  <a href="glpacy00.html#V4" title="GLPACY00:attr.4">Cycle-like</a>  iff <font color="Maroon" title="c3">G2</font> is  <a href="glpacy00.html#V4" title="GLPACY00:attr.4">Cycle-like</a>  )</span><br/>





<span class="kw">consider </span><font color="Maroon" title="c4">F</font> being    <a href="glib_010.html#M1" title="GLIB_010:mode.1">PGraphMapping</a> of <font color="Maroon" title="c1">G1</font>,<font color="Maroon" title="c3">G2</font><span class="kw"> such that </span><br/><a NAME="E2:106"/><span class="lab"><font color="Green" title="E50">A1</font></span>: 
( <font color="Maroon" title="c4">F</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="glib_010.html#K7" title="GLIB_010:func.7">id</a> <font color="Maroon" title="c1">G1</font> &amp; <font color="Maroon" title="c4">F</font> is  <a href="glib_010.html#V17" title="GLIB_010:attr.17">isomorphism</a>  )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="glibpre0.html#T77" onmouseover="rs('glibpre0/T77')" onmouseout="rh()">GLIBPRE0:77</a></span>;<br/>
<span class="kw">thus </span><a NAME="E3:106"/>
( <font color="Maroon" title="c1">G1</font> is  <a href="glpacy00.html#V4" title="GLPACY00:attr.4">Cycle-like</a>  iff <font color="Maroon" title="c3">G2</font> is  <a href="glpacy00.html#V4" title="GLPACY00:attr.4">Cycle-like</a>  )
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:106"><span class="lab"><font color="Green" title="E50">A1</font></span></a>, <a class="ref" href="glpacy00.html#T40" target="_self" onmouseover="rs('glpacy00/T40')" onmouseout="rh()">Th48</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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