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At: list exists exists 1 2 1 1 1 1 1

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

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

By: IfThenElseCases 0

Generated subgoals:

112. eq(u,u) = true
true
212. eq(u,u) = false
u(eq) v

About:
listboolbtrueifthenelseassertsetapply
functionuniverseequalmemberimpliesallexists

(47steps) PrintForm Definitions Lemmas list 3 jlc Sections Support(jlc) Doc