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Mirrors > Home > ILE Home > Th. List > recclnq | Unicode version |
Description: Closure law for positive fraction reciprocal. (Contributed by NM, 6-Mar-1996.) (Revised by Mario Carneiro, 8-May-2013.) |
Ref | Expression |
---|---|
recclnq |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | recexnq 7222 |
. 2
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2 | recmulnqg 7223 |
. . . . . 6
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3 | 2 | biimpar 295 |
. . . . 5
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4 | eleq1a 2212 |
. . . . . 6
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5 | 4 | ad2antlr 481 |
. . . . 5
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6 | 3, 5 | mpd 13 |
. . . 4
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7 | 6 | expl 376 |
. . 3
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8 | 7 | exlimdv 1792 |
. 2
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9 | 1, 8 | mpd 13 |
1
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