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At: not disjoint is member lemma 1 1 1 2

1. T: Type
2. eq: {T=}
3. eq TT
4. x,y:T. eq(x,y) x = y
5. L: T List
6. u: T
7. v: T List
8. M:T List. disjoint(eq;v;M) (x:T. x(eq) v & x(eq) M)

M:T List. disjoint(eq;(u.v);M) (x:T. x(eq) (u.v) & x(eq) M)

By:
Reduce 0
THEN
Analyze 0


Generated subgoal:

19. M: T List
(u(eq) M & disjoint(eq;v;M)) (x:T. if eq(x,u) true else x(eq) v fi & x(eq) M)

About:
listconsboolbtrueifthenelseassertapplyfunction
universeequalmemberimpliesandallexists

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