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At:
ooc preserves dededkind inf A,B:Type. (A ~ B) Dedekind-Infinite(A) Dedekind-Infinite(B)
By:
Def of Dedekind-Infinite(<type>) THEN ExistHD Hyp:3
1. A : Type
2. B : Type
3. f : AB 4. g : BA 5. InvFuns(A;B;f;g)
6. a:A, f:(AA). Inj(A; A; f) & (x:A. f(x) = aA)
a:B, f:(BB). Inj(B; B; f) & (x:B. f(x) = a)
12 steps
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IF YOU CAN SEE THIS go to /sfa/Nuprl/Shared/Xindentation_hack_doc.html