(65steps) (too big for print form) Definitions Lemmas mb automata 4 Sections GenAutomata Doc

At: rel subst mng 2 iff

r:rel(), as:(LabelTerm) List, ds,daa:Collection(dec()), da:Collection(SimpleType), de:sig(), rho:Decl, e:{[[de]] rho}, s,s':{[[ds]] rho}, k:Label, a:[[da]] rho, tr:trace_env([[daa]] rho). trace_consistent_rel(rho;daa;tr.proj;r) tc(r;ds;da;de) subst_mentions_trace(as) (x:Label. (x rel_primed_vars(r)) (t:SimpleType. mk_dec(x, t) ds t term_types(ds;da;de;apply_alist(as;x;x)) & s'.x = [[apply_alist(as;x;x)]] 1of(e) s a tr [[t]] rho)) tc(rel_subst2(as;r);ds;da;de) & trace_consistent_rel(rho;daa;tr.proj;rel_subst2(as;r)) & ([[rel_subst2(as;r)]] rho ds da de e s a tr rel_mng_2(r; rho; ds; da; de; e; s; s'; a; tr))
By: UnivCD
Generated subgoals:

11. r: rel()
2. as: (LabelTerm) List
3. ds: Collection(dec())
4. daa: Collection(dec())
5. da: Collection(SimpleType)
6. de: sig()
7. rho: Decl
8. e: {[[de]] rho}
9. s: {[[ds]] rho}
10. s': {[[ds]] rho}
11. k: Label
12. a: [[da]] rho
13. tr: trace_env([[daa]] rho)
14. trace_consistent_rel(rho;daa;tr.proj;r)
15. tc(r;ds;da;de)
16. subst_mentions_trace(as)
17. x:Label. (x rel_primed_vars(r)) (t:SimpleType. mk_dec(x, t) ds t term_types(ds;da;de;apply_alist(as;x;x)) & s'.x = [[apply_alist(as;x;x)]] 1of(e) s a tr [[t]] rho)
tc(rel_subst2(as;r);ds;da;de) & trace_consistent_rel(rho;daa;tr.proj;rel_subst2(as;r)) & ([[rel_subst2(as;r)]] rho ds da de e s a tr rel_mng_2(r; rho; ds; da; de; e; s; s'; a; tr))
21. r: rel()
2. as: (LabelTerm) List
3. ds: Collection(dec())
4. daa: Collection(dec())
5. da: Collection(SimpleType)
6. de: sig()
7. rho: Decl
8. e: {[[de]] rho}
9. s: {[[ds]] rho}
10. s': {[[ds]] rho}
11. k: Label
12. a: [[da]] rho
13. tr: trace_env([[daa]] rho)
14. trace_consistent_rel(rho;daa;tr.proj;r)
15. tc(r;ds;da;de)
16. subst_mentions_trace(as)
17. x: Label
18. (x rel_primed_vars(r))
19. t: SimpleType
20. mk_dec(x, t) ds
21. t term_types(ds;da;de;apply_alist(as;x;x))
s'.x [[t]] rho
31. r: rel()
2. as: (LabelTerm) List
3. ds: Collection(dec())
4. daa: Collection(dec())
5. da: Collection(SimpleType)
6. de: sig()
7. rho: Decl
8. e: {[[de]] rho}
9. s: {[[ds]] rho}
10. s': {[[ds]] rho}
11. k: Label
12. a: [[da]] rho
13. tr: trace_env([[daa]] rho)
14. trace_consistent_rel(rho;daa;tr.proj;r)
15. tc(r;ds;da;de)
16. subst_mentions_trace(as)
17. x: Label
18. (x rel_primed_vars(r))
19. t: SimpleType
20. mk_dec(x, t) ds
21. t term_types(ds;da;de;apply_alist(as;x;x))
[[apply_alist(as;x;x)]] 1of(e) s a tr [[t]] rho
41. r: rel()
2. as: (LabelTerm) List
3. ds: Collection{i}(dec())
4. daa: Collection{i}(dec())
5. da: Collection{i}(SimpleType)
6. de: sig()
7. rho: Decl{i}
8. sig_mng{i:l}(de; rho) = sig_mng{i:l}(de; rho)
9. zzz: Decl{i}Decl{i'}
Decl{i} Decl{i'}

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(65steps) (too big for print form) Definitions Lemmas mb automata 4 Sections GenAutomata Doc