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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E39">Th30</font></span>: <a NAME="T30"><span class="comment"><font color="firebrick">:: SURREALI:30</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">x</font>, <font color="Olive" title="b2">y</font>, <font color="Olive" title="b3">x1</font>, <font color="Olive" title="b4">y1</font>, <font color="Olive" title="b5">Ix1</font> being   <a href="surreal0.html#NM1" title="SURREAL0:NM.1">Surreal</a>  st <font color="Olive" title="b3">x1</font> <a href="surrealr.html#K16" title="SURREALR:func.16">*</a> <font color="Olive" title="b5">Ix1</font> <a href="surrealo.html#R2" title="SURREALO:pred.2">==</a>  <a href="surrealo.html#K1" title="SURREALO:func.1">1_No</a>  holds <br/><span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b3">x1</font> <a href="surrealr.html#K16" title="SURREALR:func.16">*</a> <font color="Olive" title="b2">y</font></span>)</span> <a href="surrealr.html#K8" title="SURREALR:func.8">+</a> <span class="p2">(<span class="default"><font color="Olive" title="b1">x</font> <a href="surrealr.html#K16" title="SURREALR:func.16">*</a> <font color="Olive" title="b4">y1</font></span>)</span></span>)</span> <a href="surrealr.html#K10" title="SURREALR:func.10">-</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">x1</font> <a href="surrealr.html#K16" title="SURREALR:func.16">*</a> <font color="Olive" title="b4">y1</font></span>)</span> <a href="surrealo.html#R2" title="SURREALO:pred.2">==</a> <a href="surrealo.html#K1" title="SURREALO:func.1">1_No</a> <a href="surrealr.html#K8" title="SURREALR:func.8">+</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">x1</font> <a href="surrealr.html#K16" title="SURREALR:func.16">*</a> <span class="p2">(<span class="default"><font color="Olive" title="b2">y</font> <a href="surrealr.html#K10" title="SURREALR:func.10">-</a> <span class="p3">(<span class="default"><span class="p4">(<span class="default"><a href="surrealo.html#K1" title="SURREALO:func.1">1_No</a> <a href="surrealr.html#K8" title="SURREALR:func.8">+</a> <span class="p5">(<span class="default"><span class="p0">(<span class="default"><font color="Olive" title="b3">x1</font> <a href="surrealr.html#K10" title="SURREALR:func.10">-</a> <font color="Olive" title="b1">x</font></span>)</span> <a href="surrealr.html#K16" title="SURREALR:func.16">*</a> <font color="Olive" title="b4">y1</font></span>)</span></span>)</span> <a href="surrealr.html#K16" title="SURREALR:func.16">*</a> <font color="Olive" title="b5">Ix1</font></span>)</span></span>)</span></span>)</span></div></div>
