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Mirrors > Home > ILE Home > Th. List > nan | 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 250 | . 2 | |
2 | imnan 624 | . . 3 | |
3 | 2 | imbi2i 215 | . 2 |
4 | 1, 3 | bitr2i 174 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wa 97 wb 98 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-in1 544 ax-in2 545 |
This theorem depends on definitions: df-bi 110 |
This theorem is referenced by: pm4.15 789 |
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