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|
MPC;
PRED . A B C;
PROOF;
{ A & B -> C.
{ A.
{ B.
A & B;
C;
}
B -> C;
}
A -> B -> C;
}
(A & B -> C) -> A -> B -> C;
PROOF;
{ A -> B -> C.
{ A -> B.
{ A.
B -> C;
B;
C;
}
A -> C;
}
(A -> B) -> A -> C;
}
(A -> B -> C) -> (A -> B) -> A -> C;
PROOF;
{((A -> F) -> F) -> A.
{ F -> B.
{ (A -> B) -> A.
{ A -> F.
{ A.
F;
B;
}
A -> B;
A;
F;
}
(A -> F) -> F;
A;
}
((A -> B) -> A) -> A;
}
(F -> B) -> ((A -> B) -> A) -> A;
}
(((A -> F) -> F) -> A) -> (F -> B) -> ((A -> B) -> A) -> A;
CLASSIC PROOF;
{ (A -> B) -> A.
{ A -> F.
{ A.
F;
B;
}
A -> B;
A;
F;
}
(A -> F) -> F;
A;
}
((A -> B) -> A) -> A;
END;
|
