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Mathbox for Alan Sare |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > elex2VD | Structured version Visualization version Unicode version |
Description: Virtual deduction proof of elex2 3057. (Contributed by Alan Sare, 25-Sep-2011.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
elex2VD |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | idn1 36938 |
. . . . . 6
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2 | idn2 36986 |
. . . . . 6
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3 | eleq1a 2523 |
. . . . . 6
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4 | 1, 2, 3 | e12 37105 |
. . . . 5
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5 | 4 | in2 36978 |
. . . 4
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6 | 5 | gen11 36989 |
. . 3
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7 | elisset 3056 |
. . . 4
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8 | 1, 7 | e1a 37000 |
. . 3
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9 | exim 1705 |
. . 3
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10 | 6, 8, 9 | e11 37061 |
. 2
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11 | 10 | in1 36935 |
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 ax-gen 1668 ax-4 1681 ax-5 1757 ax-6 1804 ax-7 1850 ax-12 1932 ax-ext 2430 |
This theorem depends on definitions: df-bi 189 df-an 373 df-tru 1446 df-ex 1663 df-sb 1797 df-clab 2437 df-cleq 2443 df-clel 2446 df-v 3046 df-vd1 36934 df-vd2 36942 |
This theorem is referenced by: (None) |
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