is mentioned by
| Def tc_vc(v;ds;da;de) == Case(v) Case vc_imp(hc) = > tc_pred(hc.hyp;ds; < > ;de) & tc_pred(hc.concl;ds; < > ;de) Case vc_qimp(qhc) = > tc_pred(qhc.hyp;ds;dec_lookup(da;qhc.lbl);de) & tc_pred(qhc.concl;ds;dec_lookup(da;qhc.lbl);de) Default = > False | [tc_vc] | 
| Def vc_mng(v;rho;ds;da;de;e;s;tr) == Case(v) Case vc_imp(hc) = >  [[hc.hyp]] rho ds  <  >  de e s  mk_trace_env(nil, tr.proj)   [[hc.concl]] rho ds  <  >  de e s  mk_trace_env(nil, tr.proj) Case vc_qimp(qhc) = >  v:[[dec_lookup(da;qhc.lbl)]] rho. [[qhc.hyp]] rho ds dec_lookup(da;qhc.lbl) de e s v tr   [[qhc.concl]] rho ds dec_lookup(da;qhc.lbl) de e s v tappend(tr; < qhc.lbl,v > ) Default = >  False | [vc_mng] | 
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