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<b>let </b><font color="Maroon" title="c1">f</font> be   <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</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">f</font> is <a href="trees_3.html#V5" title="TREES_3:attr.5">FinTree-yielding</a> implies <font color="Maroon" title="c1">f</font> is <a href="trees_3.html#V4" title="TREES_3:attr.4">Tree-yielding</a> )</span><br/>

<b>assume </b><a NAME="E1:69_1_1"/>
<font color="Maroon" title="c1">f</font> is <a href="trees_3.html#V5" title="TREES_3:attr.5">FinTree-yielding</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">f</font> is <a href="trees_3.html#V4" title="TREES_3:attr.4">Tree-yielding</a></span><br/>

<a NAME="E2:69_1_1"/><b>then </b>
 <a href="relat_1.html#K2" title="RELAT_1:func.2">rng</a> <font color="Maroon" title="c1">f</font> is  <a href="trees_3.html#V2" title="TREES_3:attr.2">constituted-FinTrees</a>  <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> 
 
<b>by </b><i><a class="ref" href="trees_3.html#D10" target="_self" title="TREES_3:def.10">Def10</a></i>;<br/>
<b>hence </b><a NAME="E3:69_1_1"/>
 <a href="relat_1.html#K2" title="RELAT_1:func.2">rng</a> <font color="Maroon" title="c1">f</font> is <a href="trees_3.html#V1" title="TREES_3:attr.1">constituted-Trees</a>
 ; <i><font color="Red">:: according to </font></i><a class="ref" href="trees_3.html#D9" target="_self" title="TREES_3:def.9">TREES_3:def 9</a> <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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