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At: is intersection implies exists element 1 2 2 1 1 1 1 1

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
9. v(eq)M
10. x: {x:T| x(eq) v }
11. x(eq) M

if eq(x,u) true else x(eq) v fi

By: IfThenElseCases 0

Generated subgoals:

112. eq(x,u) = true
true
212. eq(x,u) = false
x(eq) v

About:
listbtrueifthenelseassertsetapplyuniverseimpliesexists

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