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At: list all is member lemma 1 1 2 2 1 2

1. T: Type
2. eq: {T=}
3. eq TT
4. x,y:T. eq(x,y) x = y
5. P: TProp
6. L: T List
7. z: T
8. u: T
9. v: T List
10. xv.P(x) z(eq) v P(z)
11. P(u)
12. xv.P(x)
13. z(eq) (u.v)
14. eq(z,u)

z(eq) v

By:
Rewrite (HigherC is_member_unrollC) 13
THEN
FwdThru Thm* P:. P P = false [14]


Generated subgoal:

113. if eq(z,u) true else z(eq) v fi
14. eq(z,u)
15. eq(z,u) = false
z(eq) v

About:
listconsboolassertapplyfunctionuniverseequalmemberpropimpliesall

(29steps) PrintForm Definitions Lemmas list 3 jlc Sections Support(jlc) Doc