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Mirrors > Home > ILE Home > Th. List > 2falsed | Unicode version |
Description: Two falsehoods are equivalent (deduction rule). (Contributed by NM, 11-Oct-2013.) |
Ref | Expression |
---|---|
2falsed.1 | |
2falsed.2 |
Ref | Expression |
---|---|
2falsed |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 2falsed.1 | . . 3 | |
2 | 1 | pm2.21d 581 | . 2 |
3 | 2falsed.2 | . . 3 | |
4 | 3 | pm2.21d 581 | . 2 |
5 | 2, 4 | impbid 127 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wb 103 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia2 105 ax-ia3 106 ax-in2 577 |
This theorem depends on definitions: df-bi 115 |
This theorem is referenced by: pm5.21ni 651 bianfd 889 abvor0dc 3269 nn0eln0 4359 nntri3 6098 fin0 6369 xrlttri3 8872 nltpnft 8884 ngtmnft 8885 xrrebnd 8886 mod2eq1n2dvds 10279 m1exp1 10301 |
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