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<div>:: <span class="kw">deftheorem </span>   defines <a href="coh_sp.html#K20" title="COH_SP:func.20">MapsT</a> <a onclick="hs(this)" href="javascript:()">COH_SP:def 20 : <br/></a><span> for <font color="Olive" title="b1">X</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  holds   <a href="coh_sp.html#K20" title="COH_SP:func.20">MapsT</a> <font color="Olive" title="b1">X</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"> { <span class="default"> <span class="p2"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p3"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Olive" title="b2">T</font>,<font color="Olive" title="b3">TT</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<font color="Olive" title="b4">f</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> where <font color="Olive" title="b2">T</font>, <font color="Olive" title="b3">TT</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="coh_sp.html#K16" title="COH_SP:func.16">TOL</a> <font color="Olive" title="b1">X</font>, <font color="Olive" title="b4">f</font> is    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="coh_sp.html#K19" title="COH_SP:func.19">FuncsT</a> <font color="Olive" title="b1">X</font> : ( ( <font color="Olive" title="b3">TT</font> <a href="coh_sp.html#K17" title="COH_SP:func.17">`2</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  implies <font color="Olive" title="b2">T</font> <a href="coh_sp.html#K17" title="COH_SP:func.17">`2</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  ) &amp; <font color="Olive" title="b4">f</font> is   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <span class="p1">(<span class="default"><font color="Olive" title="b2">T</font> <a href="coh_sp.html#K17" title="COH_SP:func.17">`2</a></span>)</span>,<span class="p1">(<span class="default"><font color="Olive" title="b3">TT</font> <a href="coh_sp.html#K17" title="COH_SP:func.17">`2</a></span>)</span> &amp; (  for <font color="Olive" title="b5">x</font>, <font color="Olive" title="b6">y</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Olive" title="b5">x</font>,<font color="Olive" title="b6">y</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b2">T</font> <a href="coh_sp.html#K18" title="COH_SP:func.18">`1</a>  holds <br/><span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b4">f</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b5">x</font></span>)</span>,<span class="p2">(<span class="default"><font color="Olive" title="b4">f</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b6">y</font></span>)</span></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b3">TT</font> <a href="coh_sp.html#K18" title="COH_SP:func.18">`1</a>  ) ) </span> } </span> ;<br/></span></div>
