File: quant3.mpc

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MPC;

CLASSIC PROOF;

alpha . x y;

PRED alpha . Q;

{ all x.(Q x -> all y Q y) -> F.
  (Q x -> all y Q y) -> F;
  { Q x.
    { y.
      { Q y -> F.
        { Q y.
          F;
          all y Q y;
        }
        Q y -> all y Q y;
        (Q y -> all y Q y) -> F;
        F;
      }
      (Q y -> F) -> F;
      Q y;
    }
    all y Q y;
  }
  Q x -> all y Q y;
  F;
}
exca x.Q x -> all y Q y;

END;