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<b>let </b><font color="Maroon">c<sub>1</sub></font> be  <a href="ringcat1.html#V2" target="_self">strict</a> <a href="ringcat1.html#NM1">RingMorphism</a>;<br/>

<a NAME="E1:22"/>
ex <font color="Olive">b<sub>1</sub></font>, <font color="Olive">b<sub>2</sub></font> being  <a href="funcsdom.html#NM1">Ring</a> st <br/>( <font color="Olive">b<sub>1</sub></font> <a href="ringcat1.html#R1" target="_self">&lt;=</a> <font color="Olive">b<sub>2</sub></font> &amp;  <a href="ringcat1.html#K1" target="_self">dom</a> <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Olive">b<sub>1</sub></font> &amp;  <a href="ringcat1.html#K2" target="_self">cod</a> <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Olive">b<sub>2</sub></font> &amp; <font color="Maroon">c<sub>1</sub></font> is    <a href="ringcat1.html#M1" target="_self">Morphism</a> of <font color="Olive">b<sub>1</sub></font>,<font color="Olive">b<sub>2</sub></font> )
 
<b>by </b><i><a class="txt" href="ringcat1.html#E18"><i><font color="Green">Lemma11</font></i></a></i>;<br/>
<b>hence </b><a NAME="E2:22"/>
( <font color="Maroon">c<sub>1</sub></font> is    <a href="ringcat1.html#M1" target="_self">Morphism</a> of  <a href="ringcat1.html#K1" target="_self">dom</a> <font color="Maroon">c<sub>1</sub></font>, <a href="ringcat1.html#K2" target="_self">cod</a> <font color="Maroon">c<sub>1</sub></font> &amp;  <a href="ringcat1.html#K1" target="_self">dom</a> <font color="Maroon">c<sub>1</sub></font> <a href="ringcat1.html#R1" target="_self">&lt;=</a>  <a href="ringcat1.html#K2" target="_self">cod</a> <font color="Maroon">c<sub>1</sub></font> )
 ;<br/>


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