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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 938 | . . 3 | |
2 | 1 | con3i 594 | . 2 |
3 | simp2 939 | . . 3 | |
4 | 3 | con3i 594 | . 2 |
5 | simp3 940 | . . 3 | |
6 | 5 | con3i 594 | . 2 |
7 | 2, 4, 6 | 3jaoi 1234 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 w3o 918 w3a 919 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-in1 576 ax-in2 577 ax-io 662 |
This theorem depends on definitions: df-bi 115 df-3or 920 df-3an 921 |
This theorem is referenced by: funtpg 4970 |
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