Thm* rho:Decl, r:rel(), da:Collection(dec())
, R:(Label Label  ). rel_mentions_trace(r)  trace_consistent_rel(rho;da;R;r) | [no_mention_implies_consistent_rel] |
Thm* A:ioa{i:l}(), as:(Label Term) List, k:Label.
ioa_mentions_trace(A) 
( i: . i < ||as||  2of(as[i]) smts_eff(action_effect(k;A.eff;A.frame);1of(as[i]))) 
subst_mentions_trace(as) | [effect_subst_mentions_trace] |
Thm* rho:Decl, t:Term, da:Collection(dec())
, R:(Label Label  ). mentions_trace(t)  trace_consistent(rho;da;R;t) | [no_mention_implies_consistent_term] |
Thm* d:Decl, tr:trace_env(d), a:( d), r:rel(), rho,ds,da,de,e,s,v:Top.
affects_trace_rel(tr.proj;kind(a);r) 
([[r]] rho ds da de e s v tappend(tr;a) ~ [[r]] rho ds da de e s v tr) | [rel_mng_tappend] |
Thm* r:rel(), rho,ds,da,de,e,s,a,tr,tr':Top.
rel_mentions_trace(r)  ([[r]] rho ds da de e s a tr' ~ [[r]] rho ds da de e s a tr) | [rel_mng_static] |
Thm* as:(Label Term) List, g:Label, t:Term.
subst_mentions_trace(as)  term_mentions_guard(g;term_subst2(as;t))  term_mentions_guard(g;t) | [term_subst2_mentions_guard] |
Thm* as:(Label Term) List, g:Label, t:Term.
subst_mentions_trace(as)  term_mentions_guard(g;term_subst(as;t))  term_mentions_guard(g;t) | [term_subst_mentions_guard] |