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Mathbox for Alan Sare |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > csbeq2gVD | Structured version Visualization version Unicode version |
Description: Virtual deduction proof of csbeq2gOLD 36916.
The following User's Proof is a Virtual Deduction proof completed
automatically by the tools program completeusersproof.cmd, which invokes
Mel L. O'Cat's mmj2 and Norm Megill's Metamath Proof Assistant.
csbeq2gOLD 36916 is csbeq2gVD 37289 without virtual deductions and was
automatically derived from csbeq2gVD 37289.
|
Ref | Expression |
---|---|
csbeq2gVD |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | idn1 36944 |
. . . 4
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2 | spsbc 3280 |
. . . 4
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3 | 1, 2 | e1a 37006 |
. . 3
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4 | sbceqg 3773 |
. . . 4
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5 | 1, 4 | e1a 37006 |
. . 3
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6 | imbi2 326 |
. . . 4
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7 | 6 | biimpcd 228 |
. . 3
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8 | 3, 5, 7 | e11 37067 |
. 2
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9 | 8 | in1 36941 |
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 1669 ax-4 1682 ax-5 1758 ax-6 1805 ax-7 1851 ax-10 1915 ax-11 1920 ax-12 1933 ax-13 2091 ax-ext 2431 |
This theorem depends on definitions: df-bi 189 df-or 372 df-an 373 df-tru 1447 df-ex 1664 df-nf 1668 df-sb 1798 df-clab 2438 df-cleq 2444 df-clel 2447 df-nfc 2581 df-v 3047 df-sbc 3268 df-csb 3364 df-vd1 36940 |
This theorem is referenced by: (None) |
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