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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E71">Th61</font></span>: <a NAME="T94"><span class="comment"><font color="firebrick">:: SRINGS_5:94</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">n</font> being   non  <a href="ordinal1.html#V8" title="ORDINAL1:attr.8">zero</a>  <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b2">x</font>, <font color="Olive" title="b3">y</font>, <font color="Olive" title="b4">z</font> being    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of  <a href="euclid.html#K1" title="EUCLID:func.1">REAL</a> <font color="Olive" title="b1">n</font> holds  <span class="p1">(<span class="default"><a href="srings_5.html#K25" title="SRINGS_5:func.25">Infty_dist</a> <font color="Olive" title="b1">n</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> (<font color="Olive" title="b2">x</font>,<font color="Olive" title="b3">y</font>) <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="srings_5.html#K25" title="SRINGS_5:func.25">Infty_dist</a> <font color="Olive" title="b1">n</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> (<font color="Olive" title="b2">x</font>,<font color="Olive" title="b4">z</font>)</span>)</span> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="srings_5.html#K25" title="SRINGS_5:func.25">Infty_dist</a> <font color="Olive" title="b1">n</font></span>)</span> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> (<font color="Olive" title="b4">z</font>,<font color="Olive" title="b3">y</font>)</span>)</span></div></div>
