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Mirrors > Home > NFE Home > Th. List > pm3.24 | Unicode version |
Description: Law of noncontradiction. Theorem *3.24 of [WhiteheadRussell] p. 111 (who call it the "law of contradiction"). (Contributed by NM, 16-Sep-1993.) (Proof shortened by Wolf Lammen, 24-Nov-2012.) |
Ref | Expression |
---|---|
pm3.24 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | id 19 | . 2 | |
2 | iman 413 | . 2 | |
3 | 1, 2 | mpbi 199 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wn 3 wi 4 wa 358 |
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 177 df-an 360 |
This theorem is referenced by: pm4.43 893 nonconne 2523 pssirr 3369 indifdir 3511 dfnul2 3552 dfnul3 3553 rabnc 3574 nincompl 4072 imadif 5171 |
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