is mentioned by

Thm* A:ioa{i:l}(), I:Fmla, rho:Decl, de:sig(), e:{[[de]] rho}, te:(LabelLabel). tc_ioa(A;de) ioa_mentions_trace(A) trace_consistent_pred(rho;A.da;te;I) guarded_trace(A.da;te;I) tc_pred(I;A.ds; < > ;de) covers_pred(A;I) closed_pred(I) single_valued_decls(A.ds) let M = [[A]] rho de e in (s:M.state, tr:([[A.da]] rho) List. (M -tr- > s) [[VCs(A;I)]] rho A.ds A.da de e s mk_trace_env(tr, te)) (M |= always s,tr.[[I]] rho A.ds < > de e s mk_trace_env(tr, te))	[vc_trace_correctness]
Thm* A:ioa{i:l}(), I:Fmla, rho:Decl, te:(LabelLabel). ioa_mentions_trace(A) trace_consistent_pred(rho;A.da;te;I) (vVCs(A;I).trace_consistent_vc(rho;A.da;te;v))	[trace_consistent_ioa_inv_vc]
Thm* A:ioa{i:l}(), I:Fmla, rho:Decl, de:sig(), e:{[[de]] rho}, te:(LabelLabel). tc_ioa(A;de) ioa_mentions_trace(A) trace_consistent_pred(rho;A.da;te;I) tc_pred(I;A.ds; < > ;de) covers_pred(A;I) guarded_trace(A.da;te;I) closed_pred(I) single_valued_decls(A.ds) (s0,x:[[A]] rho de e.state, act:[[A]] rho de e.action, x':[[A]] rho de e.state, tr:([[A.da]] rho) List. [[A]] rho de e.init(s0) trace_reachable([[A]] rho de e;s0;mk_trace_env(tr, te).trace;x) [[I]] rho A.ds < > de e x mk_trace_env(tr, te) [[A]] rho de e.trans(x,act,x') ((t:dec(). t A.da & t.lbl = kind(act)) [[I]] rho A.ds < > de e x' tappend(mk_trace_env(tr, te);act)) [[I]] rho A.ds < > de e x' tappend(mk_trace_env(tr, te);act))	[vc_trace_correct_action_decl_lemma]
Thm* A:ioa{i:l}(), Q:Fmla, rho:Decl, R:(LabelLabel), k:Label. ioa_mentions_trace(A) trace_consistent_pred(rho;A.da;R;Q) trace_consistent_pred(rho;A.da;R;wp(A;k;Q))	[trace_consistent_wp]
Thm* A:ioa{i:l}(), Q:Fmla, rho:Decl, R:(LabelLabel), k:Label. ioa_mentions_trace(A) trace_consistent_pred(rho;A.da;R;Q) trace_consistent_pred(rho;A.da;R;wp2(A;k;Q))	[trace_consistent_wp2]
Thm* da:Collection(dec()), P:Fmla, rho:Decl, te:(LabelLabel). trace_consistent_pred(rho;da;te;P) trace_consistent_pred(rho;da;te;(P)')	[trace_consistent_pred_addprime]
Thm* da:Collection(dec()), P:Fmla, rho:Decl, te:(LabelLabel). trace_consistent_pred(rho;da;te;P) trace_consistent_pred(rho;da;te;pred_unprime(P))	[trace_consistent_pred_unprime]
Thm* A:ioa{i:l}(), I:Fmla, rho:Decl, te:(LabelLabel), a:dec(). ioa_mentions_trace(A) trace_consistent_pred(rho;A.da;te;I) a A.da trace_consistent_pred(rho;A.da;te;smts_eff_pred(action_effect(a.lbl;A.eff;A.frame);I))	[trace_consistent_action_effect]
Thm* A:ioa{i:l}(), rho:Decl, r:rel(), R:(LabelLabel), k:Label. ioa_mentions_trace(A) trace_consistent_rel(rho;A.da;R;r) trace_consistent_pred(rho;A.da;R;wp2_rel(A;k;r))	[trace_consistent_wp2_rel]
Thm* A:ioa{i:l}(), rho:Decl, r:rel(), R:(LabelLabel), k:Label. ioa_mentions_trace(A) trace_consistent_rel(rho;A.da;R;r) trace_consistent_pred(rho;A.da;R;wp_rel(A;k;r))	[trace_consistent_wp_rel]
Thm* A:ioa{i:l}(), rho:Decl, te:(LabelLabel). ioa_mentions_trace(A) trace_consistent_pred(rho;A.da;te;A.init)	[trace_consistent_init]
Thm* A:ioa{i:l}(), rho:Decl, te:(LabelLabel), k:Label. ioa_mentions_trace(A) trace_consistent_pred(rho;A.da;te;action_pre(k;A.pre))	[trace_consistent_action_pre]
Thm* p,q:Fmla, rho:Decl, da:Collection(dec()), R:(LabelLabel). trace_consistent_pred(rho;da;R;p q) trace_consistent_pred(rho;da;R;p) & trace_consistent_pred(rho;da;R;q)	[trace_consistent_pred_and]
Thm* p:Fmla, rho:Decl, da:Collection(dec()), R:(LabelLabel). trace_consistent_pred(rho;da;R;p) Prop	[trace_consistent_pred_wf]
Thm* r:rel(), as:(LabelTerm) List, daa:Collection(dec()), rho:Decl, te:(LabelLabel). trace_consistent_rel(rho;daa;te;r) subst_mentions_trace(as) trace_consistent_rel(rho;daa;te;rel_subst2(as;r))	[trace_consistent_rel_subst2]
Thm* r:rel(), as:(LabelTerm) List, daa:Collection(dec()), rho:Decl, te:(LabelLabel). trace_consistent_rel(rho;daa;te;r) subst_mentions_trace(as) trace_consistent_rel(rho;daa;te;rel_subst(as;r))	[trace_consistent_rel_subst]

In prior sections: bool 1 sqequal 1 list 1 rel 1 mb basic mb nat mb list 1 mb events mb tree mb list 2 mb automata 1 mb automata 2 mb automata 3 prog 1

Try larger context: GenAutomata