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 ) ) |