(14steps total) PrintForm Definitions Lemmas IteratedBinops Sections DiscrMathExt Doc
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An iterated product is one iff each value is one.

At: iter nat prod one iff factors one


  a,b:e:({a..b}). ( i:{a..b}. e(i)) = 1  (i:{a..b}. e(i) = 1)

By: Thm*  a,b:P:({a..b}Prop). (i:{a..b}. P(i))  (And i:{a..b}. P(i))
Asserted
THEN
Guarding (i:<type>. <prop>) Rewrite by Hyp:-1 THEN Thin Hyp:-1
THEN
Analyze


Generated subgoal:

1 1. a : 
  b:e:({a..b}). ( i:{a..b}. e(i)) = 1  (And i:{a..b}. e(i) = 1)

13 steps

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intnatural_numbermultiplylambdafunctionequalpropandtrueall
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(14steps total) PrintForm Definitions Lemmas IteratedBinops Sections DiscrMathExt Doc