IF YOU CAN SEE THIS go to /sfa/Nuprl/Shared/Xindentation_hack_doc.html
At:
split factor1 char11 1. k : {2...}
2. g : {2..k}
3. x : {2..k}
4. xx<k 5. x<xx 6. h : {2..k}
7. h = split_factor1(g; x)
8. h(xx) = 0
9. h(x) = g(x)+g(xx)+g(xx)
10. u:{2..k}. u = xu = xxh(u) = g(u)
{2..x}(g)xg(x){x+1..xx}(g)(xx)g(xx){xx+1..k}(g)
=
{2..x}(h)xh(x){x+1..xx}(h)(xx)h(xx){xx+1..k}(h)
By:
{Factor out the sections falling between x and xx, on which the two
{factorizations agree, by Hyp:11
{}
SideProof