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At:
fpf-sub-functionality2 1. A : Type
2. A' : Type
3. strong-subtype(A;A')
4. B : AType
5. C : A'Type
6. eq : EqDecider(A)
7. eq' : EqDecider(A')
8. f : a:A fp-> B(a)
9. g : a:A fp-> B(a)
10. Ar A' 11. eq' EqDecider(A)
12. a:A. B(a) r C(a)
13. x:A. x dom(f) x dom(g) & f(x) = g(x)
14. x : A x dom(f) Prop{1}
By:
Auto THEN DoSubsume
THEN
BackThru
Thm*B1:(A1Type), B2:(A2Type).
Thm* strong-subtype(A1;A2)
Thm* Thm* (a:A1. B1(a) r B2(a)) (a:A1 fp-> B1(a) r a:A2 fp-> B2(a))
THEN
Analyze 0
Generated subgoals:
None
About:
IF YOU CAN SEE THIS go to /sfa/Nuprl/Shared/Xindentation_hack_doc.html