Description: Define the 4-way conjunction. (Contributed by Jonathan Ben-Naim, 3-Jun-2011) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Assertion | df-bnj17 | |- ( ( ph /\ ps /\ ch /\ th ) <-> ( ( ph /\ ps /\ ch ) /\ th ) ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
0 | wph | |- ph |
|
1 | wps | |- ps |
|
2 | wch | |- ch |
|
3 | wth | |- th |
|
4 | 0 1 2 3 | w-bnj17 | |- ( ph /\ ps /\ ch /\ th ) |
5 | 0 1 2 | w3a | |- ( ph /\ ps /\ ch ) |
6 | 5 3 | wa | |- ( ( ph /\ ps /\ ch ) /\ th ) |
7 | 4 6 | wb | |- ( ( ph /\ ps /\ ch /\ th ) <-> ( ( ph /\ ps /\ ch ) /\ th ) ) |