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Mathbox for Alan Sare |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > eqsbc3rVD | Structured version Visualization version Unicode version |
Description: Virtual deduction proof of eqsbc3r 3323. (Contributed by Alan Sare, 24-Oct-2011.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
eqsbc3rVD |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | idn1 36938 |
. . . . . . 7
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
2 | eqsbc3 3306 |
. . . . . . 7
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3 | 1, 2 | e1a 37000 |
. . . . . 6
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4 | eqcom 2457 |
. . . . . . . . 9
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5 | 4 | sbcbiiOLD 36886 |
. . . . . . . 8
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6 | 1, 5 | e1a 37000 |
. . . . . . 7
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7 | idn2 36986 |
. . . . . . 7
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
8 | biimp 197 |
. . . . . . 7
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9 | 6, 7, 8 | e12 37105 |
. . . . . 6
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10 | biimp 197 |
. . . . . 6
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11 | 3, 9, 10 | e12 37105 |
. . . . 5
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12 | eqcom 2457 |
. . . . 5
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13 | 11, 12 | e2bi 37005 |
. . . 4
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14 | 13 | in2 36978 |
. . 3
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15 | idn2 36986 |
. . . . . . 7
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16 | 15, 12 | e2bir 37006 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
17 | biimpr 202 |
. . . . . 6
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
18 | 3, 16, 17 | e12 37105 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
19 | biimpr 202 |
. . . . 5
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
20 | 6, 18, 19 | e12 37105 |
. . . 4
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21 | 20 | in2 36978 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
22 | impbi 190 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
23 | 14, 21, 22 | e11 37061 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
24 | 23 | 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-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-tru 1446 df-ex 1663 df-nf 1667 df-sb 1797 df-clab 2437 df-cleq 2443 df-clel 2446 df-v 3046 df-sbc 3267 df-vd1 36934 df-vd2 36942 |
This theorem is referenced by: (None) |
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