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Mirrors > Home > MPE Home > Th. List > 2false | Structured version Visualization version Unicode version |
Description: Two falsehoods are equivalent. (Contributed by NM, 4-Apr-2005.) (Proof shortened by Wolf Lammen, 19-May-2013.) |
Ref | Expression |
---|---|
2false.1 | |
2false.2 |
Ref | Expression |
---|---|
2false |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 2false.1 | . . 3 | |
2 | 2false.2 | . . 3 | |
3 | 1, 2 | 2th 254 | . 2 |
4 | 3 | con4bii 311 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wn 3 wb 196 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 |
This theorem depends on definitions: df-bi 197 |
This theorem is referenced by: bianfi 966 bifal 1497 cnv0OLD 5536 co02 5649 0er 7780 0erOLD 7781 00lss 18942 00ply1bas 19610 2lgslem4 25131 signswch 30638 pexmidlem8N 35263 dandysum2p2e4 41165 |
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