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Mirrors > Home > MPE Home > Th. List > anor | Structured version Visualization version Unicode version |
Description: Conjunction in terms of disjunction (De Morgan's law). Theorem *4.5 of [WhiteheadRussell] p. 120. (Contributed by NM, 3-Jan-1993.) (Proof shortened by Wolf Lammen, 3-Nov-2012.) |
Ref | Expression |
---|---|
anor |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ianor 509 | . . 3 | |
2 | 1 | bicomi 214 | . 2 |
3 | 2 | con2bii 347 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wn 3 wb 196 wo 383 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-or 385 df-an 386 |
This theorem is referenced by: pm3.1 519 pm3.11 520 dn1 1008 3anor 1054 bropopvvv 7255 ifpananb 37851 iunrelexp0 37994 |
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