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Mirrors > Home > MPE Home > Th. List > lttrd | Structured version Visualization version Unicode version |
Description: Transitive law deduction for 'less than'. (Contributed by NM, 9-Jan-2006.) |
Ref | Expression |
---|---|
ltd.1 |
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ltd.2 |
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letrd.3 |
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lttrd.4 |
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lttrd.5 |
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Ref | Expression |
---|---|
lttrd |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | lttrd.4 |
. 2
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2 | lttrd.5 |
. 2
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3 | ltd.1 |
. . 3
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4 | ltd.2 |
. . 3
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5 | letrd.3 |
. . 3
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6 | lttr 9710 |
. . 3
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7 | 3, 4, 5, 6 | syl3anc 1268 |
. 2
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8 | 1, 2, 7 | mp2and 685 |
1
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