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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 |
Ref | Expression |
---|---|
abf |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ab0 3951 | . 2 | |
2 | abf.1 | . 2 | |
3 | 1, 2 | mpgbir 1726 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wn 3 wceq 1483 cab 2608 c0 3915 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1722 ax-4 1737 ax-5 1839 ax-6 1888 ax-7 1935 ax-9 1999 ax-10 2019 ax-11 2034 ax-12 2047 ax-13 2246 ax-ext 2602 |
This theorem depends on definitions: df-bi 197 df-or 385 df-an 386 df-tru 1486 df-ex 1705 df-nf 1710 df-sb 1881 df-clab 2609 df-cleq 2615 df-clel 2618 df-nfc 2753 df-v 3202 df-dif 3577 df-nul 3916 |
This theorem is referenced by: csbprc 3980 csbprcOLD 3981 mpt20 6725 fi0 8326 meet0 17137 join0 17138 0qs 34133 pmapglb2xN 35058 |
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