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Mirrors > Home > MPE Home > Th. List > df-oppr | Structured version Visualization version Unicode version |
Description: Define an opposite ring, which is the same as the original ring but with multiplication written the other way around. (Contributed by Mario Carneiro, 1-Dec-2014.) |
Ref | Expression |
---|---|
df-oppr |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | coppr 17899 |
. 2
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2 | vf |
. . 3
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3 | cvv 3057 |
. . 3
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4 | 2 | cv 1454 |
. . . 4
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5 | cnx 15167 |
. . . . . 6
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6 | cmulr 15240 |
. . . . . 6
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7 | 5, 6 | cfv 5601 |
. . . . 5
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8 | 4, 6 | cfv 5601 |
. . . . . 6
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9 | 8 | ctpos 6998 |
. . . . 5
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10 | 7, 9 | cop 3986 |
. . . 4
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11 | csts 15168 |
. . . 4
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12 | 4, 10, 11 | co 6315 |
. . 3
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13 | 2, 3, 12 | cmpt 4475 |
. 2
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14 | 1, 13 | wceq 1455 |
1
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Colors of variables: wff setvar class |
This definition is referenced by: opprval 17901 |
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