Nuprl - Proof: split factor2 char 1 1 a 4

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At: split factor2 char 1 1 a 4

1. k : {2...}
2. g : {2..k

}

3. x : {2..k

}
4. y : {2..k

}
5. x

y<k
6. x<y
7. x<x

y
8. y<x

y
9. h : {2..k

}

10. h = split_factor2(g; x; y)
11. h(x

y) = 0
12. h(x) = g(x)+g(x

y)
13. h(y) = g(y)+g(x

y)
14.

u:{2..k

}.

u = x

u = y

u = x

y

h(u) = g(u)

{x

y+1..k

}(g) =

{x

y+1..k

}(h)

By:	Analyze ... THEN New:u FunExtensionality THEN BackThru: Hyp:14 ...

Generated subgoals:

None

About:

IF YOU CAN SEE THIS go to /sfa/Nuprl/Shared/Xindentation_hack_doc.html

(17steps total) PrintForm Definitions Lemmas FTA Sections DiscrMathExt Doc