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Mathbox for Alan Sare |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > e223 | Structured version Unicode version |
Description: A virtual deduction elimination rule. (Contributed by Alan Sare, 12-Dec-2011.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
e223.1 |
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e223.2 |
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e223.3 |
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e223.4 |
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Ref | Expression |
---|---|
e223 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | e223.1 |
. . . . 5
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2 | 1 | in2 31629 |
. . . 4
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3 | 2 | in1 31586 |
. . 3
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4 | e223.2 |
. . . . 5
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5 | 4 | in2 31629 |
. . . 4
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6 | 5 | in1 31586 |
. . 3
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7 | e223.3 |
. . . . . 6
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8 | 7 | in3 31633 |
. . . . 5
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9 | 8 | in2 31629 |
. . . 4
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10 | 9 | in1 31586 |
. . 3
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11 | e223.4 |
. . 3
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12 | 3, 6, 10, 11 | ee223 31658 |
. 2
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13 | 12 | dfvd3ir 31608 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 |
This theorem depends on definitions: df-bi 185 df-an 371 df-3an 967 df-vd1 31585 df-vd2 31593 df-vd3 31605 |
This theorem is referenced by: tratrbVD 31899 |
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