Thm* ds,da:Collection(dec()), de:sig(), rho:Decl, st1:Collection(SimpleType)
, e1:{1of([[de]] rho)}, s,s':{[[ds]] rho}, a:[[st1]] rho, tr:trace_env([[da]] rho), l:Term List.
( i: ||l||. trace_consistent(rho;da;tr.proj;l[i])) 
( ls:SimpleType List, f:reduce( s,m. [[s]] rho m;Prop;ls).
||ls|| = ||l|| & ( i: . i < ||l||  ls[i] term_types(ds;st1;de;l[i])) 
list_accum(x,t.x([[t]] e1 s s' a tr);f;l) Prop) | [rel_mng_2_lemma] |
Thm* ds,daa:Collection(dec()), da:Collection(SimpleType), de:sig(), rho:Decl
, t:Term, s,s':{[[ds]] rho}, e:{1of([[de]] rho)}, a:SimpleType, v:[[da]] rho
, tr:trace_env([[daa]] rho).
trace_consistent(rho;daa;tr.proj;t)  a term_types(ds;da;de;t)  [[t]] e s s' v tr [[a]] rho | [term_typing2] |
Def rel_mng_2(r; rho; ds; da; de; e; s; s'; a; tr)
== list_accum(x,t.x([[t]] 1of(e) s s' a tr);[[r.name]] rho 2of(e) ;r.args) | [rel_mng_2] |