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<div>:: <span class="kw">deftheorem </span>   defines <a href="partpr_2.html#K17" title="PARTPR_2:func.17">PP_while</a> <a onclick="hs(this)" href="javascript:()">PARTPR_2:def 16 : <br/></a><span> for <font color="Olive" title="b1">D</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">p</font> being   <a href="partpr_1.html#NM1" title="PARTPR_1:NM.1">PartialPredicate</a> of <font color="Olive" title="b1">D</font><br/>  for <font color="Olive" title="b3">f</font> being   <a href="partpr_2.html#NM1" title="PARTPR_2:NM.1">BinominativeFunction</a> of <font color="Olive" title="b1">D</font> holds   <a href="partpr_2.html#K17" title="PARTPR_2:func.17">PP_while</a> (<font color="Olive" title="b2">p</font>,<font color="Olive" title="b3">f</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="partpr_2.html#K16" title="PARTPR_2:func.16">PPwhile</a> <font color="Olive" title="b1">D</font></span>)</span> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<font color="Olive" title="b2">p</font>,<font color="Olive" title="b3">f</font>);<br/></span></div>
