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Mirrors > Home > MPE Home > Th. List > abf | Structured version Visualization version Unicode version |
Description: A class builder with a false argument is empty. (Contributed by NM, 20-Jan-2012.) |
Ref | Expression |
---|---|
abf.1 |
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Ref | Expression |
---|---|
abf |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | abf.1 |
. . . 4
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2 | 1 | pm2.21i 136 |
. . 3
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3 | 2 | abssi 3516 |
. 2
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4 | ss0 3777 |
. 2
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5 | 3, 4 | ax-mp 5 |
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 1680 ax-4 1693 ax-5 1769 ax-6 1816 ax-7 1862 ax-10 1926 ax-11 1931 ax-12 1944 ax-13 2102 ax-ext 2442 |
This theorem depends on definitions: df-bi 190 df-or 376 df-an 377 df-tru 1458 df-ex 1675 df-nf 1679 df-sb 1809 df-clab 2449 df-cleq 2455 df-clel 2458 df-nfc 2592 df-v 3059 df-dif 3419 df-in 3423 df-ss 3430 df-nul 3744 |
This theorem is referenced by: csbprc 3782 mpt20 6388 fi0 7960 meet0 16432 join0 16433 rusgra0edg 25732 pmapglb2xN 33382 |
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