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Mirrors > Home > MPE Home > Th. List > lemul2ad | Structured version Visualization version Unicode version |
Description: Multiplication of both sides of 'less than or equal to' by a nonnegative number. (Contributed by Mario Carneiro, 28-May-2016.) |
Ref | Expression |
---|---|
ltp1d.1 |
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divgt0d.2 |
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lemul1ad.3 |
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lemul1ad.4 |
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lemul1ad.5 |
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Ref | Expression |
---|---|
lemul2ad |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ltp1d.1 |
. 2
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2 | divgt0d.2 |
. 2
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3 | lemul1ad.3 |
. . 3
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4 | lemul1ad.4 |
. . 3
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5 | 3, 4 | jca 539 |
. 2
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6 | lemul1ad.5 |
. 2
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7 | lemul2a 10487 |
. 2
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8 | 1, 2, 5, 6, 7 | syl31anc 1279 |
1
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