Nuprl - Pf is member sublist lemma 1 1

(7steps) PrintForm Definitions Lemmas list 3 jlc Sections Support(jlc) Doc

1. T: Type
2. eq: {T=}
3. x: T
4. L: T List
5. M: T List
6. u: T
7. v: T List
8. x(eq) v v(eq)M x(eq) M
9. if eq(x,u) true else x(eq) v fi
10. u(eq) M
11. v(eq)M

x(eq) M

By: IfThenElseCases 9

Generated subgoals:

1 9. eq(x,u) = true
10. true
11. u(eq) M
12. v(eq)M
x(eq) M

2 9. eq(x,u) = false
10. x(eq) v
11. u(eq) M
12. v(eq)M
x(eq) M

About:

(7steps) PrintForm Definitions Lemmas list 3 jlc Sections Support(jlc) Doc

1	9. `eq(x,u) = true` 10. `true` 11. `u(eq) M` 12. `v(eq)M` `x(eq) M`
2	9. `eq(x,u) = false` 10. `x(eq) v` 11. `u(eq) M` 12. `v(eq)M` `x(eq) M`