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<b>let </b><font color="Maroon">G</font> be   <a href="funcsdom.html#NM1">Ring</a>;<br/><b>let </b><font color="Maroon">H</font> be   <a href="funcsdom.html#NM1">Ring</a>;<br/><b>let </b><font color="Maroon">f</font> be    <a href="ringcat1.html#M1" target="_self">Morphism</a> of <font color="Maroon">G</font>,<font color="Maroon">H</font>;<br/>





<a NAME="E1:48"/>
for <font color="Olive">x</font> being   <a href="subset_1.html#M1">Element</a> of <span class="p1"><a href="tarski.html#K1">{</a><span class="default"><font color="Maroon">f</font></span><a href="tarski.html#K1">}</a></span> holds  <font color="Olive">x</font> is    <a href="ringcat1.html#M1" target="_self">Morphism</a> of <font color="Maroon">G</font>,<font color="Maroon">H</font>
 
<b>by </b><i><a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/>
<b>hence </b><a NAME="E2:48"/>
<span class="p1"><a href="tarski.html#K1">{</a><span class="default"><font color="Maroon">f</font></span><a href="tarski.html#K1">}</a></span> is    <a href="ringcat1.html#M4" target="_self">RingMorphism_DOMAIN</a> of <font color="Maroon">G</font>,<font color="Maroon">H</font>
 <b>by </b><i/>;<br/>


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