Nuprl - Pf rel_mng_2_lemma 1 2 1 1

(26steps) PrintForm Definitions Lemmas mb automata 3 Sections GenAutomata Doc

1. ds: Collection(dec())
2. da: Collection(dec())
3. de: sig()
4. rho: Decl
5. st1: Collection(SimpleType)
6. e1: {1of([[de]] rho)}
7. s: {[[ds]] rho}
8. s': {[[ds]] rho}
9. a: [[st1]] rho
10. tr: trace_env([[da]] rho)
11. l: Term List
12. u: Term
13. v: Term List
14. i:(||v||+1). trace_consistent(rho;da;tr.proj;[u / v][i])
15. ls: SimpleType List
16. f: reduce(s,m. [[s]] rhom;Prop;ls)
17. ||ls|| = ||v||+1
18. i:. i < ||v||+1 ls[i] term_types(ds;st1;de;[u / v][i])

i:||v||. trace_consistent(rho;da;tr.proj;v[i])

By: Auto THEN InstHyp [i+1] -6 THEN Subst' ([u / v][(i+1)] = v[i]) -1

Generated subgoal:

1 19. i: ||v||
20. trace_consistent(rho;da;tr.proj;[u / v][(i+1)])
21. x,y:Term. x = y (x ~ y)
[u / v][(i+1)] = v[i]

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(26steps) PrintForm Definitions Lemmas mb automata 3 Sections GenAutomata Doc