Nuprl - Proof: iter prod zero iff factor zero 1 2 2

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At: iter prod zero iff factor zero 1 2 2

1. a :

2.

b:

, e:({a..b

}

).
2. a

b

((

i:{a..b

}. e(i)) = 0

(Or i:{a..b

}. e(i) = 0))
3. b :

4. e : {a..b

}

5.

a

b

(

i:{a..b

}. e(i)) = 0

(Or i:{a..b

}. e(i) = 0)

By:	Rewrite by Thm* f:(AAA), u:A, a,b:, e:({a..b}A). Thm* ba (Iter(f;u) i:{a..b}. e(i)) = (Iter(f;u) i:{a..a}. e(i))

Generated subgoal:

1 ( i:{a..a}. e(i)) = 0 (Or i:{a..a}. e(i) = 0)
1 step

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

(13steps total) PrintForm Definitions Lemmas IteratedBinops Sections DiscrMathExt Doc