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Mirrors > Home > ILE 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.) (Revised by Mario Carneiro, 2-Feb-2015.) |
Ref | Expression |
---|---|
pm3.24 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | notnot 619 | . 2 | |
2 | imnan 680 | . 2 | |
3 | 1, 2 | mpbi 144 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wa 103 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-in1 604 ax-in2 605 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: nnexmid 836 pm4.43 934 excxor 1360 nonconne 2339 dfnul2 3396 dfnul3 3397 rabnc 3426 axnul 4090 fiintim 6874 zeoxor 11764 unennn 12168 |
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