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Mirrors > Home > MPE Home > Th. List > df-dom | Structured version Visualization version Unicode version |
Description: Define the dominance relation. For an alternate definition see dfdom2 7620. Compare Definition of [Enderton] p. 145. Typical textbook definitions are derived as brdom 7606 and domen 7607. (Contributed by NM, 28-Mar-1998.) |
Ref | Expression |
---|---|
df-dom |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cdom 7592 |
. 2
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2 | vx |
. . . . . 6
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3 | 2 | cv 1453 |
. . . . 5
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4 | vy |
. . . . . 6
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5 | 4 | cv 1453 |
. . . . 5
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6 | vf |
. . . . . 6
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7 | 6 | cv 1453 |
. . . . 5
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8 | 3, 5, 7 | wf1 5597 |
. . . 4
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9 | 8, 6 | wex 1673 |
. . 3
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10 | 9, 2, 4 | copab 4473 |
. 2
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11 | 1, 10 | wceq 1454 |
1
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Colors of variables: wff setvar class |
This definition is referenced by: reldom 7600 brdomg 7604 enssdom 7619 |
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