X2116 : %THEOREM%X2116 is a theorem.
FORALL x(I) EXISTS y(I) [P(OI) x IMPLIES R(OII) x [g(II) .h(II) y] AND P y] AND FORALL w(I) [P w IMPLIES P [g w] AND P .h w] IMPLIES FORALL x .P x IMPLIES EXISTS y .R x y AND P y
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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