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<span class="kw">let </span><font color="Maroon" title="c3">G1</font>, <font color="Maroon" title="c4">G2</font> be   <a href="glib_000.html#NM2" title="GLIB_000:NM.2">_Graph</a>; <span class="comment"><font color="firebrick">:: according to </font></span><a class="ref" href="glib_014.html#D23" target="_self" onmouseover="rs('glib_014/D23')" onmouseout="rh()">GLIB_014:def 23</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"> ( <font color="Maroon" title="c3">G1</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Maroon" title="c1">S1</font> <a href="xboole_0.html#K3" title="XBOOLE_0:func.3">/\</a> <font color="Maroon" title="c2">S2</font> &amp; <font color="Maroon" title="c4">G2</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Maroon" title="c1">S1</font> <a href="xboole_0.html#K3" title="XBOOLE_0:func.3">/\</a> <font color="Maroon" title="c2">S2</font> implies <font color="Maroon" title="c3">G1</font> <a href="glib_014.html#R1" title="GLIB_014:pred.1">tolerates</a> <font color="Maroon" title="c4">G2</font> )</span><br/>

<span class="kw">assume </span><a NAME="E1:120_1_1"/>
( <font color="Maroon" title="c3">G1</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Maroon" title="c1">S1</font> <a href="xboole_0.html#K3" title="XBOOLE_0:func.3">/\</a> <font color="Maroon" title="c2">S2</font> &amp; <font color="Maroon" title="c4">G2</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Maroon" title="c1">S1</font> <a href="xboole_0.html#K3" title="XBOOLE_0:func.3">/\</a> <font color="Maroon" title="c2">S2</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="c3">G1</font> <a href="glib_014.html#R1" title="GLIB_014:pred.1">tolerates</a> <font color="Maroon" title="c4">G2</font></span><br/>

<a NAME="E2:120_1_1"/><span class="kw">then </span>
( <font color="Maroon" title="c3">G1</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Maroon" title="c1">S1</font> &amp; <font color="Maroon" title="c4">G2</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Maroon" title="c1">S1</font> )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="xboole_0.html#D4" onmouseover="rs('xboole_0/D4')" onmouseout="rh()">XBOOLE_0:def 4</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:120_1_1"/>
<font color="Maroon" title="c3">G1</font> <a href="glib_014.html#R1" title="GLIB_014:pred.1">tolerates</a> <font color="Maroon" title="c4">G2</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="glib_014.html#D23" target="_self" onmouseover="rs('glib_014/D23')" onmouseout="rh()">Def23</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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