X2115 : %THEOREM%X2115 is a theorem.
FORALL x(I) [EXISTS y(I) P(OII) x y IMPLIES FORALL z(I) P z z] AND FORALL u(I) EXISTS v(I) [P u v OR M(OI) u AND Q(OI) .f(III) u v] AND FORALL w(I) [Q w IMPLIES ~M .g(II) w] IMPLIES FORALL u EXISTS v .P [g u] v AND P u u
You may not use ADVICE, but all other rules and commands are allowed.
Only book theorems may be ASSERTed as lemmas without proof.
For a complete list of book theorems, type PROBLEMS.
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