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Mirrors > Home > MPE Home > Th. List > nan | Structured version Visualization version Unicode version |
Description: Theorem to move a conjunct in and out of a negation. (Contributed by NM, 9-Nov-2003.) |
Ref | Expression |
---|---|
nan |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | impexp 462 | . 2 | |
2 | imnan 438 | . . 3 | |
3 | 2 | imbi2i 326 | . 2 |
4 | 1, 3 | bitr2i 265 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wn 3 wi 4 wb 196 wa 384 |
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 df-an 386 |
This theorem is referenced by: pm4.15 605 somincom 5530 wemaplem2 8452 alephval3 8933 hauspwpwf1 21791 icccncfext 40100 stoweidlem34 40251 stirlinglem5 40295 fourierdlem42 40366 etransc 40500 |
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