Nuprl - Pf append is member lemma 1 2

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At: append is member lemma 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. x: T
7. u: T
8. v: T List
9. (M,N:T List. v = (M @ (x.N))) x(eq) v

(M,N:T List. u.v = (M @ (x.N))) if eq(x,u) true else x(eq) v fi

By: GenConcl (eq(x,u) = b) THEN BoolInd -2 THEN Rewrite (HigherC ifthenelse_evalC THENC TryC (HigherC assert_evalC)) 0

Generated subgoals:

1 10. eq(x,u) = true
(M,N:T List. u.v = (M @ (x.N))) True

2 10. eq(x,u) = false
(M,N:T List. u.v = (M @ (x.N))) x(eq) v

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