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

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At: iter prod zero iff factor zero 1 1 1 1

1. a :

2. b :

3. e : {a..b

}

4. b-a = 0

(

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)) = u

Generated subgoal:

1 1 = 0 False
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(13steps total) PrintForm Definitions Lemmas IteratedBinops Sections DiscrMathExt Doc