Nuprl - Pf list exists append lemma 1

(35steps) PrintForm Definitions Lemmas list 3 jlc Sections Support(jlc) Doc

1. T: Type
2. P: TProp
3. L: T List
4. M: T List
5. x(L @ M).P(x)

xL.P(x) xM.P(x)

By: MoveToConcl 4 THEN ListInd 3 THEN Reduce 0

Generated subgoals:

1 M:T List. xM.P(x) False xM.P(x)

2 4. u: T
5. v: T List
6. M:T List. x(v @ M).P(x) xv.P(x) xM.P(x)
M:T List. P(u) x(v @ M).P(x) P(u) xv.P(x) xM.P(x)

About:

(35steps) PrintForm Definitions Lemmas list 3 jlc Sections Support(jlc) Doc

1	`M:T List. xM.P(x) False xM.P(x)`
2	4. `u:` `T` 5. `v:` `T List` 6. `M:T List. x(v @ M).P(x) xv.P(x) xM.P(x)` `M:T List. P(u) x(v @ M).P(x) P(u) xv.P(x) xM.P(x)`