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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E25">Th16</font></span>: <a NAME="T16"><span class="comment"><font color="firebrick">:: PRVECT_1:16</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">a</font> being   <a href="prvect_1.html#NM1" title="PRVECT_1:NM.1">Domain-Sequence</a><br/>  for <font color="Olive" title="b2">d</font>, <font color="Olive" title="b3">d9</font> being   <a href="binop_1.html#NM2" title="BINOP_1:NM.2">BinOp</a> of <span class="p1">(<span class="default"><a href="card_3.html#K4" title="CARD_3:func.4">product</a> <font color="Olive" title="b1">a</font></span>)</span>  st (  for <font color="Olive" title="b4">f</font>, <font color="Olive" title="b5">g</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="card_3.html#K4" title="CARD_3:func.4">product</a> <font color="Olive" title="b1">a</font><br/>  for <font color="Olive" title="b6">i</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Olive" title="b1">a</font> holds  <span class="p1">(<span class="default"><font color="Olive" title="b2">d</font> <a href="binop_1.html#K4" title="BINOP_1:func.4">.</a> (<font color="Olive" title="b4">f</font>,<font color="Olive" title="b5">g</font>)</span>)</span> <a href="prvect_1.html#K8" title="PRVECT_1:func.8">.</a> <font color="Olive" title="b6">i</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">d9</font> <a href="binop_1.html#K4" title="BINOP_1:func.4">.</a> (<font color="Olive" title="b4">f</font>,<font color="Olive" title="b5">g</font>)</span>)</span> <a href="prvect_1.html#K8" title="PRVECT_1:func.8">.</a> <font color="Olive" title="b6">i</font> ) holds <br/><font color="Olive" title="b2">d</font> <a href="binop_1.html#R8" title="BINOP_1:pred.8">=</a> <font color="Olive" title="b3">d9</font></div></div>
