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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E7">Th5</font></span>: <a NAME="T5"><span class="comment"><font color="firebrick">:: FSCIRC_2:5</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b2">p</font>, <font color="Olive" title="b3">q</font> being   <a href="circcomb.html#NM2" title="CIRCCOMB:NM.2">FinSeqLen</a> of <font color="Olive" title="b1">n</font><br/>  for <font color="Olive" title="b4">p1</font>, <font color="Olive" title="b5">p2</font>, <font color="Olive" title="b6">q1</font>, <font color="Olive" title="b7">q2</font> being   <a href="finseq_1.html#NM1" title="FINSEQ_1:NM.1">FinSequence</a> holds <br/> ( <font color="Olive" title="b1">n</font> <a href="fscirc_2.html#K1" title="FSCIRC_2:func.1">-BitSubtracterStr</a> (<span class="p1">(<span class="default"><font color="Olive" title="b2">p</font> <a href="finseq_1.html#K7" title="FINSEQ_1:func.7">^</a> <font color="Olive" title="b4">p1</font></span>)</span>,<span class="p1">(<span class="default"><font color="Olive" title="b3">q</font> <a href="finseq_1.html#K7" title="FINSEQ_1:func.7">^</a> <font color="Olive" title="b6">q1</font></span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">n</font> <a href="fscirc_2.html#K1" title="FSCIRC_2:func.1">-BitSubtracterStr</a> (<span class="p1">(<span class="default"><font color="Olive" title="b2">p</font> <a href="finseq_1.html#K7" title="FINSEQ_1:func.7">^</a> <font color="Olive" title="b5">p2</font></span>)</span>,<span class="p1">(<span class="default"><font color="Olive" title="b3">q</font> <a href="finseq_1.html#K7" title="FINSEQ_1:func.7">^</a> <font color="Olive" title="b7">q2</font></span>)</span>) &amp; <font color="Olive" title="b1">n</font> <a href="fscirc_2.html#K2" title="FSCIRC_2:func.2">-BitSubtracterCirc</a> (<span class="p1">(<span class="default"><font color="Olive" title="b2">p</font> <a href="finseq_1.html#K7" title="FINSEQ_1:func.7">^</a> <font color="Olive" title="b4">p1</font></span>)</span>,<span class="p1">(<span class="default"><font color="Olive" title="b3">q</font> <a href="finseq_1.html#K7" title="FINSEQ_1:func.7">^</a> <font color="Olive" title="b6">q1</font></span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">n</font> <a href="fscirc_2.html#K2" title="FSCIRC_2:func.2">-BitSubtracterCirc</a> (<span class="p1">(<span class="default"><font color="Olive" title="b2">p</font> <a href="finseq_1.html#K7" title="FINSEQ_1:func.7">^</a> <font color="Olive" title="b5">p2</font></span>)</span>,<span class="p1">(<span class="default"><font color="Olive" title="b3">q</font> <a href="finseq_1.html#K7" title="FINSEQ_1:func.7">^</a> <font color="Olive" title="b7">q2</font></span>)</span>) &amp; <font color="Olive" title="b1">n</font> <a href="fscirc_2.html#K3" title="FSCIRC_2:func.3">-BitBorrowOutput</a> (<span class="p1">(<span class="default"><font color="Olive" title="b2">p</font> <a href="finseq_1.html#K7" title="FINSEQ_1:func.7">^</a> <font color="Olive" title="b4">p1</font></span>)</span>,<span class="p1">(<span class="default"><font color="Olive" title="b3">q</font> <a href="finseq_1.html#K7" title="FINSEQ_1:func.7">^</a> <font color="Olive" title="b6">q1</font></span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">n</font> <a href="fscirc_2.html#K3" title="FSCIRC_2:func.3">-BitBorrowOutput</a> (<span class="p1">(<span class="default"><font color="Olive" title="b2">p</font> <a href="finseq_1.html#K7" title="FINSEQ_1:func.7">^</a> <font color="Olive" title="b5">p2</font></span>)</span>,<span class="p1">(<span class="default"><font color="Olive" title="b3">q</font> <a href="finseq_1.html#K7" title="FINSEQ_1:func.7">^</a> <font color="Olive" title="b7">q2</font></span>)</span>) )</div></div>
