Description: Rearrangement of the join of 4 Hilbert lattice elements. (Contributed by NM, 15-Jun-2006) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Assertion | chj4 | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | chj12 | |
|
2 | 1 | 3expb | |
3 | 2 | adantll | |
4 | 3 | oveq2d | |
5 | chjcl | |
|
6 | chjass | |
|
7 | 6 | 3expa | |
8 | 5 7 | sylan2 | |
9 | chjcl | |
|
10 | chjass | |
|
11 | 10 | 3expa | |
12 | 9 11 | sylan2 | |
13 | 12 | an4s | |
14 | 4 8 13 | 3eqtr4d | |