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Mathbox for Alan Sare |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > e1111 | Unicode version |
Description: A virtual deduction elimination rule. (Contributed by Alan Sare, 6-Mar-2012.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
e1111.1 |
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e1111.2 |
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e1111.3 |
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e1111.4 |
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e1111.5 |
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Ref | Expression |
---|---|
e1111 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | e1111.1 |
. . . 4
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2 | 1 | in1 28371 |
. . 3
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3 | e1111.2 |
. . . 4
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4 | 3 | in1 28371 |
. . 3
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5 | e1111.3 |
. . . 4
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6 | 5 | in1 28371 |
. . 3
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7 | e1111.4 |
. . . 4
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8 | 7 | in1 28371 |
. . 3
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9 | e1111.5 |
. . 3
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10 | 2, 4, 6, 8, 9 | ee1111 28310 |
. 2
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11 | 10 | dfvd1ir 28373 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() |
This theorem is referenced by: trsbcVD 28698 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-3 7 ax-mp 8 |
This theorem depends on definitions: df-bi 178 df-vd1 28370 |
Copyright terms: Public domain | W3C validator |