At: term subst mentions guard 2 1 2 2 1
1. as: (Label
Term) List
2. g: Label
3. t: Term
4. u: Term
Type{i'}
5. w: t:{v:Term| u(v) }
subst_mentions_trace(as) 
term_mentions_guard(g;term_subst(as;t)) term_mentions_guard(g;t)
6. x: Label
7. i: 
8. i < ||as||
9. apply_alist(as;x;x') = 2of(unzip(as))[i]
10. t2: Term
11. u1: TermType{i'}
12. w1: t2:{v:Term| u1(v) }term_mentions_guard(g;t2) mentions_trace(t2)
13. y1: {v:Term| u1(v) }
14. y2: {v:Term| u1(v) }
15. term_mentions_guard(g;y1) 
term_mentions_guard(g;y2)
mentions_trace(y1) mentions_trace(y2)
By:
All (RW assert_pushdownC)
THEN
ParallelOp -1
THEN
EasyHyp
Generated subgoals:None
About:
