Description: Nonzero series product with index set a subset of the upper integers. (Contributed by Scott Fenton, 6-Dec-2017)
Ref | Expression | ||
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Hypotheses | zprodn0.1 | |
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zprodn0.2 | |
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zprodn0.3 | |
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zprodn0.4 | |
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zprodn0.5 | |
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zprodn0.6 | |
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zprodn0.7 | |
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Assertion | zprodn0 | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | zprodn0.1 | |
|
2 | zprodn0.2 | |
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3 | zprodn0.3 | |
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4 | zprodn0.4 | |
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5 | zprodn0.5 | |
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6 | zprodn0.6 | |
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7 | zprodn0.7 | |
|
8 | 1 2 4 3 | ntrivcvgn0 | |
9 | 1 2 8 5 6 7 | zprod | |
10 | fclim | |
|
11 | ffun | |
|
12 | 10 11 | ax-mp | |
13 | funbrfv | |
|
14 | 12 4 13 | mpsyl | |
15 | 9 14 | eqtrd | |