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Mirrors > Home > ILE Home > Th. List > sotri | Unicode version |
Description: A strict order relation is a transitive relation. (Contributed by NM, 10-Feb-1996.) (Revised by Mario Carneiro, 10-May-2013.) |
Ref | Expression |
---|---|
soi.1 |
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soi.2 |
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Ref | Expression |
---|---|
sotri |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | soi.2 |
. . . . 5
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2 | 1 | brel 4674 |
. . . 4
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3 | 2 | simpld 112 |
. . 3
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4 | 1 | brel 4674 |
. . 3
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5 | 3, 4 | anim12i 338 |
. 2
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6 | soi.1 |
. . . 4
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7 | sotr 4314 |
. . . 4
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8 | 6, 7 | mpan 424 |
. . 3
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9 | 8 | 3expb 1204 |
. 2
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10 | 5, 9 | mpcom 36 |
1
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