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At:
card pi A,A':Type, B:(AType), B':(A'Type).
(x:A. B(x)) ~ (x:A'. B'(x)) ((x:AB(x)) ~ (x:A'B'(x)))
By:
Def of (x:A. B(x)) ~ (x:A'. B'(x)) | (x:AB(x)) ~ (x:A'B'(x))
THEN
ExistHD Hyp:-1
1. A : Type
2. A' : Type
3. B : AType
4. B' : A'Type
5. f : AA' 6. g : A'A 7. F : x:AB(x)B'(f(x))
8. G : x:AB'(f(x))B(x)
9. InvFuns(A;A';f;g)
10. u:A. InvFuns(B(u);B'(f(u));F(u);G(u))
f:((x:AB(x))(x:A'B'(x))), g:((x:A'B'(x))(x:AB(x))).
InvFuns(x:AB(x);x:A'B'(x);f;g)
6 steps
About:
IF YOU CAN SEE THIS go to /sfa/Nuprl/Shared/Xindentation_hack_doc.html