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Mirrors > Home > MPE Home > Th. List > tpid3g | Structured version Visualization version Unicode version |
Description: Closed theorem form of tpid3 4087. This proof was automatically generated from the virtual deduction proof tpid3gVD 37232 using a translation program. (Contributed by Alan Sare, 24-Oct-2011.) |
Ref | Expression |
---|---|
tpid3g |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | elisset 3056 |
. 2
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2 | 3mix3 1178 |
. . . . . . 7
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3 | 2 | a1i 11 |
. . . . . 6
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4 | abid 2438 |
. . . . . 6
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5 | 3, 4 | syl6ibr 231 |
. . . . 5
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6 | dftp2 4017 |
. . . . . 6
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7 | 6 | eleq2i 2520 |
. . . . 5
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8 | 5, 7 | syl6ibr 231 |
. . . 4
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9 | eleq1 2516 |
. . . 4
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10 | 8, 9 | mpbidi 220 |
. . 3
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11 | 10 | exlimdv 1778 |
. 2
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12 | 1, 11 | mpd 15 |
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-10 1914 ax-11 1919 ax-12 1932 ax-13 2090 ax-ext 2430 |
This theorem depends on definitions: df-bi 189 df-or 372 df-an 373 df-3or 985 df-tru 1446 df-ex 1663 df-nf 1667 df-sb 1797 df-clab 2437 df-cleq 2443 df-clel 2446 df-nfc 2580 df-v 3046 df-un 3408 df-sn 3968 df-pr 3970 df-tp 3972 |
This theorem is referenced by: tpnzd 4093 f1dom3fv3dif 6166 f1dom3el3dif 6167 en3lplem1 8116 en3lp 8118 nb3graprlem1 25172 en3lplem1VD 37233 en3lpVD 37235 etransclem48OLD 38141 etransclem48 38142 nb3grprlem1 39437 cplgr3v 39485 |
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