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Mirrors > Home > ILE Home > Th. List > 3ianorr | Unicode version |
Description: Triple disjunction implies negated triple conjunction. (Contributed by Jim Kingdon, 23-Dec-2018.) |
Ref | Expression |
---|---|
3ianorr |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | simp1 904 | . . 3 | |
2 | 1 | con3i 562 | . 2 |
3 | simp2 905 | . . 3 | |
4 | 3 | con3i 562 | . 2 |
5 | simp3 906 | . . 3 | |
6 | 5 | con3i 562 | . 2 |
7 | 2, 4, 6 | 3jaoi 1198 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 w3o 884 w3a 885 |
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 ax-io 630 |
This theorem depends on definitions: df-bi 110 df-3or 886 df-3an 887 |
This theorem is referenced by: funtpg 4950 |
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