Description: Inference conjoining and disjoining the antecedents of three implications. (Contributed by Jeff Hankins, 15-Aug-2009) (Proof shortened by Andrew Salmon, 13-May-2011)
Ref | Expression | ||
---|---|---|---|
Hypotheses | 3jaao.1 | |
|
3jaao.2 | |
||
3jaao.3 | |
||
Assertion | 3jaao | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3jaao.1 | |
|
2 | 3jaao.2 | |
|
3 | 3jaao.3 | |
|
4 | 1 | 3ad2ant1 | |
5 | 2 | 3ad2ant2 | |
6 | 3 | 3ad2ant3 | |
7 | 4 5 6 | 3jaod | |