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Mirrors > Home > ILE Home > Th. List > fal | Unicode version |
Description: The truth value is refutable. (Contributed by Anthony Hart, 22-Oct-2010.) (Proof shortened by Mel L. O'Cat, 11-Mar-2012.) |
Ref | Expression |
---|---|
fal |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | tru 1346 | . . 3 | |
2 | 1 | notnoti 635 | . 2 |
3 | df-fal 1348 | . 2 | |
4 | 2, 3 | mtbir 661 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wtru 1343 wfal 1347 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-in1 604 ax-in2 605 |
This theorem depends on definitions: df-bi 116 df-tru 1345 df-fal 1348 |
This theorem is referenced by: nbfal 1353 bifal 1355 falim 1356 dfnot 1360 notfal 1403 alnex 1486 csbprc 3449 bj-stfal 13459 bj-dcfal 13469 bdnth 13551 |
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