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<span class="kw">let </span><font color="Maroon" title="c3">R1</font> be   <a href="proofs_1.html#NM2" title="PROOFS_1:NM.2">Rule</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">R1</font> is <font color="Maroon" title="c2">E</font> <a href="proofs_1.html#V7" title="PROOFS_1:attr.7">-extending</a>  implies <font color="Maroon" title="c3">R1</font> is <font color="Maroon" title="c1">R</font> <a href="proofs_1.html#V7" title="PROOFS_1:attr.7">-extending</a>  )</span><br/>

<a NAME="E1:39_1_1"/><span class="lab"><font color="Green" title="E15">A1</font></span>: 
<font color="Maroon" title="c2">E</font> is <font color="Maroon" title="c1">R</font> <a href="proofs_1.html#V7" title="PROOFS_1:attr.7">-extending</a> 
 
;<br/>
<span class="kw">assume </span><a NAME="E2:39_1_1"/>
<font color="Maroon" title="c3">R1</font> is <font color="Maroon" title="c2">E</font> <a href="proofs_1.html#V7" title="PROOFS_1:attr.7">-extending</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">R1</font> is <font color="Maroon" title="c1">R</font> <a href="proofs_1.html#V7" title="PROOFS_1:attr.7">-extending</a> </span><br/>

<span class="kw">hence </span><a NAME="E3:39_1_1"/>
<font color="Maroon" title="c3">R1</font> is <font color="Maroon" title="c1">R</font> <a href="proofs_1.html#V7" title="PROOFS_1:attr.7">-extending</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:39_1_1"><span class="lab"><font color="Green" title="E15">A1</font></span></a>, <a class="ref" href="xboole_1.html#T1" onmouseover="rs('xboole_1/T1')" onmouseout="rh()">XBOOLE_1:1</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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