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At: not disjoint is member lemma 1 1 1 2 1 1 1

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

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

By: RWH (LemmaC Thm* Dec(P) Dec(Q) ((P & Q) P Q)) -1

Generated subgoal:

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

About:
listboolbtrueifthenelseassertapplyfunction
universeequalmemberimpliesandallexists

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