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<b>let </b><font color="Maroon" title="c1">M</font> be  non <a href="card_3.html#V4" title="CARD_3:attr.4">countable</a> <a href="card_5.html#NM1" title="CARD_5:NM.1">Aleph</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c1">M</font> is <a href="card_lar.html#V5" title="CARD_LAR:attr.5">strongly_Mahlo</a> implies <font color="Maroon" title="c1">M</font> is <a href="card_fil.html#V6" title="CARD_FIL:attr.6">strongly_inaccessible</a> )</span><br/>

<b>assume </b><a NAME="E1:46"/><i><font color="Green" title="E35">A1</font></i>: 
<font color="Maroon" title="c1">M</font> is <a href="card_lar.html#V5" title="CARD_LAR:attr.5">strongly_Mahlo</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c1">M</font> is <a href="card_fil.html#V6" title="CARD_FIL:attr.6">strongly_inaccessible</a></span><br/>

<a NAME="E2:46"/><b>then </b><i><font color="Green" title="E36">A2</font></i>: 
<font color="Maroon" title="c1">M</font> is <a href="card_fil.html#V5" title="CARD_FIL:attr.5">strong_limit</a>
 
<b>by </b><i><a class="ref" href="card_lar.html#T31" target="_self" title="CARD_LAR:th.31">Th31</a></i>;<br/>
<a NAME="E3:46"/>
<font color="Maroon" title="c1">M</font> is <a href="card_5.html#V1" title="CARD_5:attr.1">regular</a>
 
<b>by </b><i><a class="txt" href="#E1:46"><i><font color="Green" title="E35">A1</font></i></a>, <a class="ref" href="card_lar.html#T27" target="_self" title="CARD_LAR:th.27">Th27</a>, <a class="ref" href="card_lar.html#T28" target="_self" title="CARD_LAR:th.28">Th28</a></i>;<br/>
<b>hence </b><a NAME="E4:46"/>
<font color="Maroon" title="c1">M</font> is <a href="card_fil.html#V6" title="CARD_FIL:attr.6">strongly_inaccessible</a>
 <b>by </b><i><a class="txt" href="#E2:46"><i><font color="Green" title="E36">A2</font></i></a>, <a class="ref" href="card_fil.html#D15" title="CARD_FIL:def.15">CARD_FIL:def 15</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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