Nuprl - Pf rel subst mng 2 iff 3 2

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

1. 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))

trace_consistent(rho;daa;tr.proj;apply_alist(as;x;x))

By: Unfold `trace_consistent` 0 THEN AllHypsMentioning `subst_mentions_trace` Analyze

Generated subgoal:

1 16. x: Label
17. (x rel_primed_vars(r))
18. t: SimpleType
19. mk_dec(x, t) ds
20. t term_types(ds;da;de;apply_alist(as;x;x))
21. g: Label
22. term_mentions_guard(g;apply_alist(as;x;x))
subst_mentions_trace(as)

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