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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E21">Th10</font></span>: <a NAME="T10"><span class="comment"><font color="firebrick">:: RINGCAT1:10</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">f</font>, <font color="Olive" title="b2">g</font>, <font color="Olive" title="b3">h</font> being   <a href="ringcat1.html#V2" title="RINGCAT1:attr.2">strict</a>  <a href="ringcat1.html#NM1" title="RINGCAT1:NM.1">RingMorphism</a>  st  <a href="ringcat1.html#K1" title="RINGCAT1:func.1">dom</a> <font color="Olive" title="b3">h</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ringcat1.html#K2" title="RINGCAT1:func.2">cod</a> <font color="Olive" title="b2">g</font> &amp;  <a href="ringcat1.html#K1" title="RINGCAT1:func.1">dom</a> <font color="Olive" title="b2">g</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ringcat1.html#K2" title="RINGCAT1:func.2">cod</a> <font color="Olive" title="b1">f</font> holds <br/><font color="Olive" title="b3">h</font> <a href="ringcat1.html#K6" title="RINGCAT1:func.6">*</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">g</font> <a href="ringcat1.html#K6" title="RINGCAT1:func.6">*</a> <font color="Olive" title="b1">f</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">h</font> <a href="ringcat1.html#K6" title="RINGCAT1:func.6">*</a> <font color="Olive" title="b2">g</font></span>)</span> <a href="ringcat1.html#K6" title="RINGCAT1:func.6">*</a> <font color="Olive" title="b1">f</font></div></div>
