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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E19">Def1</font></span>   defines <a href="ndiff11.html#K1" title="NDIFF11:func.1">Jacobian</a> <a onclick="hs(this)" href="javascript:()">NDIFF11:def 1 : <br/></a><span> for <font color="Olive" title="b1">m</font>, <font color="Olive" title="b2">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="b3">f</font> being   <a href="partfun1.html#NM1" title="PARTFUN1:NM.1">PartFunc</a> of <span class="p1">(<span class="default"><a href="euclid.html#K1" title="EUCLID:func.1">REAL</a> <font color="Olive" title="b1">m</font></span>)</span>,<span class="p1">(<span class="default"><a href="euclid.html#K1" title="EUCLID:func.1">REAL</a> <font color="Olive" title="b2">n</font></span>)</span><br/>  for <font color="Olive" title="b4">x</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">m</font><br/>  for <font color="Olive">b<sub>5</sub></font> being   <a href="matrix_1.html#NM3" title="MATRIX_1:NM.3">Matrix</a> of <font color="Olive" title="b1">m</font>,<font color="Olive" title="b2">n</font>,<a href="vectsp_1.html#K2" title="VECTSP_1:func.2">F_Real</a> holds <br/> ( <font color="Olive">b<sub>5</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ndiff11.html#K1" title="NDIFF11:func.1">Jacobian</a> (<font color="Olive" title="b3">f</font>,<font color="Olive" title="b4">x</font>) iff  for <font color="Olive" title="b6">i</font>, <font color="Olive" title="b7">j</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b6">i</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="finseq_1.html#K2" title="FINSEQ_1:func.2">Seg</a> <font color="Olive" title="b1">m</font> &amp; <font color="Olive" title="b7">j</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="finseq_1.html#K2" title="FINSEQ_1:func.2">Seg</a> <font color="Olive" title="b2">n</font> holds <br/><font color="Olive">b<sub>5</sub></font> <a href="matrix_0.html#K3" title="MATRIX_0:func.3">*</a> (<font color="Olive" title="b6">i</font>,<font color="Olive" title="b7">j</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="pdiff_1.html#K13" title="PDIFF_1:func.13">partdiff</a> (<font color="Olive" title="b3">f</font>,<font color="Olive" title="b4">x</font>,<font color="Olive" title="b6">i</font>,<font color="Olive" title="b7">j</font>) );<br/></span></div>
