X2129 : %THEOREM%X2129 is a theorem.
EXISTS x(I) FORALL y(I) [P(OI) x EQUIV P y] EQUIV [EXISTS x Q(OI) x EQUIV FORALL y P y] EQUIV .EXISTS x FORALL y [Q x EQUIV Q y] EQUIV .EXISTS x P x EQUIV FORALL y Q 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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