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

1. T: Type
2. eq: TT
3. x,y:T. eq(x,y) x = y
4. eq TT
5. P: TProp
6. L: T List
7. u: T
8. v: T List
9. yv.P(y) (x:T. x(eq) v & P(x))
10. P(u)

if eq(u,u) true else u(eq) v fi

By:
Witness3 u
THEN
With u (Analyze -1)


Generated subgoal:

13. eq TT
4. P: TProp
5. L: T List
6. u: T
7. v: T List
8. yv.P(y) (x:T. x(eq) v & P(x))
9. P(u)
10. eq(u,u) u = u
if eq(u,u) true else u(eq) v fi

About:
listboolbtrueifthenelseassertapplyfunctionuniverse
equalmemberpropimpliesandallexists

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