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At: is intersection implies exists element 1 2 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. u(eq) M

if eq(u,u) true else u(eq) v fi
By: Subst (eq(u,u) = true) 0 THENL [Id;Reduce 0 THEN Trivial]
Generated subgoal:

1 eq(u,u) = true

About:
listboolbtrueifthenelseassert
setapplyuniverseequalimplies
exists

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