Metamath Proof Explorer
Description: If a product divides an integer, so does one of its factors, a deduction
version. (Contributed by metakunt, 12-May-2024)
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Ref |
Expression |
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Hypotheses |
muldvds1d.1 |
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muldvds1d.2 |
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muldvds1d.3 |
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muldvds1d.4 |
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Assertion |
muldvds1d |
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Proof
Step |
Hyp |
Ref |
Expression |
1 |
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muldvds1d.1 |
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2 |
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muldvds1d.2 |
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3 |
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muldvds1d.3 |
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4 |
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muldvds1d.4 |
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5 |
1 2 3
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3jca |
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6 |
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muldvds1 |
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7 |
5 6
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syl |
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8 |
4 7
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mpd |
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