Nuprl - Pf is intersection implies exists element 1 2 2

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At: is intersection implies exists element 1 2 2

1. T: Type
2. eq: {T=}
3. L: T List
4. M: T List
5. u: T
6. v: T List
7. v(eq)M (x:{x:T| x(eq) v }. x(eq) M)
8. xv.x(eq) M

x:{x:T| if eq(x,u) true else x(eq) v fi }. x(eq) M

By: Decide v(eq)M

Generated subgoals:

1 9. v(eq)M
x:{x:T| if eq(x,u) true else x(eq) v fi }. x(eq) M

2 9. v(eq)M
x:{x:T| if eq(x,u) true else x(eq) v fi }. x(eq) M

About:

(19steps) PrintForm Definitions Lemmas list 3 jlc Sections Support(jlc) Doc

1	9. `v(eq)M` `x:{x:T\| if eq(x,u) true else x(eq) v fi }. x(eq) M`
2	9. `v(eq)M` `x:{x:T\| if eq(x,u) true else x(eq) v fi }. x(eq) M`