<?xml version="1.0" encoding="UTF-8"?>
<?xml-stylesheet type="text/xsl" href="../../../lemmabase.xsl"?>
<LEMMABASE name="Specification DATA-implies-FD-refine"><LEMMAVERSION><VERSION><THEVERSION>0</THEVERSION></VERSION></LEMMAVERSION><TOFILE><T/></TOFILE><LEMMADIR><DIRECTORY><TRUENAME>specs/DATA-implies-FD-refine/proofs/</TRUENAME></DIRECTORY></LEMMADIR><VALIDBASE><T/></VALIDBASE><SAVELEMMAS><F/></SAVELEMMAS><BASEDATE>3377954160</BASEDATE><MODIFIEDLEMMAS><LIST></LIST></MODIFIEDLEMMAS><ADDEDLEMMAS><LIST></LIST></ADDEDLEMMAS><OWNLOCKEDLEMMAS><LIST></LIST></OWNLOCKEDLEMMAS><OTHERLOCKEDLEMMAS><LIST></LIST></OTHERLOCKEDLEMMAS><LEMMADECLS><LIST></LIST></LEMMADECLS><THELEMMAS><LIST><LE><LEMMAINFO><LEMMANAME>divergence-refine</LEMMANAME><LEMMAGOAL><SEQGOAL><GOALSEQ><SEQ> ⊦ div_C(el) → div_A(el)</SEQ></GOALSEQ></SEQGOAL></LEMMAGOAL><LEMMATYPE><OBLIGATIONLEMMA/></LEMMATYPE><VALIDITY><LIST></LIST></VALIDITY><USEDLEMMAS><LIST></LIST></USEDLEMMAS><SIDEGOALS><LIST></LIST></SIDEGOALS><MAINGOALS><LIST></LIST></MAINGOALS><USERACTIONS>4</USERACTIONS><PROOFSTEPS>8</PROOFSTEPS><PROVED><T/></PROVED><PROOFEXISTS><T/></PROOFEXISTS><PROOFFILENAME>divergence-refine-proof</PROOFFILENAME><PROOFSTORED><F/></PROOFSTORED><SAVETREE><F/></SAVETREE><INFOFILENAME>divergence-refine-proof-info</INFOFILENAME><LEMMAPROOFINFO><PROOFINFO><PROOFGOALINFOS><LIST></LIST></PROOFGOALINFOS><PROOFEXTRAS><LIST></LIST></PROOFEXTRAS></PROOFINFO></LEMMAPROOFINFO><INFOSSTORED><F/></INFOSSTORED><SAVEINFOS><F/></SAVEINFOS><EXTRALEMMAINFO><EXTRALINFOLIST><THEEXTRALINFOLIST><LIST><LE>localsimp</LE></LIST></THEEXTRALINFOLIST></EXTRALINFOLIST></EXTRALEMMAINFO><PRECHARTS><LIST></LIST></PRECHARTS><EXTRALISLOT2><LIST></LIST></EXTRALISLOT2></LEMMAINFO></LE><LE><LEMMAINFO><LEMMANAME>failure-refine</LEMMANAME><LEMMAGOAL><SEQGOAL><GOALSEQ><SEQ> ⊦ f_C(el, E) → f_A(el, E)</SEQ></GOALSEQ></SEQGOAL></LEMMAGOAL><LEMMATYPE><OBLIGATIONLEMMA/></LEMMATYPE><VALIDITY><LIST></LIST></VALIDITY><USEDLEMMAS><LIST><LE>divergence-refine</LE></LIST></USEDLEMMAS><SIDEGOALS><LIST></LIST></SIDEGOALS><MAINGOALS><LIST></LIST></MAINGOALS><USERACTIONS>7</USERACTIONS><PROOFSTEPS>15</PROOFSTEPS><PROVED><T/></PROVED><PROOFEXISTS><T/></PROOFEXISTS><PROOFFILENAME>failure-refine-proof</PROOFFILENAME><PROOFSTORED><F/></PROOFSTORED><SAVETREE><F/></SAVETREE><INFOFILENAME>failure-refine-proof-info</INFOFILENAME><LEMMAPROOFINFO><PROOFINFO><PROOFGOALINFOS><LIST></LIST></PROOFGOALINFOS><PROOFEXTRAS><LIST></LIST></PROOFEXTRAS></PROOFINFO></LEMMAPROOFINFO><INFOSSTORED><F/></INFOSSTORED><SAVEINFOS><F/></SAVEINFOS><EXTRALEMMAINFO><EXTRALINFOLIST><THEEXTRALINFOLIST><LIST></LIST></THEEXTRALINFOLIST></EXTRALINFOLIST></EXTRALEMMAINFO><PRECHARTS><LIST></LIST></PRECHARTS><EXTRALISLOT2><LIST></LIST></EXTRALISLOT2></LEMMAINFO></LE></LIST></THELEMMAS><EXTRALEMMABASE><NOEXTRALEMMABASE/></EXTRALEMMABASE><THEFTS><LIST></LIST></THEFTS><EXTRALBSLOT2><LIST></LIST></EXTRALBSLOT2></LEMMABASE>