Description: Value of partial isomorphism A at lattice orthocomplement (using a Sasaki projection to get orthocomplement relative to the fiducial co-atom W ). (Contributed by NM, 6-Dec-2013) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Hypotheses | diaoc.j | |
|
diaoc.m | |
||
diaoc.o | |
||
diaoc.h | |
||
diaoc.t | |
||
diaoc.i | |
||
diaoc.n | |
||
Assertion | diaocN | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | diaoc.j | |
|
2 | diaoc.m | |
|
3 | diaoc.o | |
|
4 | diaoc.h | |
|
5 | diaoc.t | |
|
6 | diaoc.i | |
|
7 | diaoc.n | |
|
8 | simpl | |
|
9 | eqid | |
|
10 | 9 4 6 | diadmclN | |
11 | eqid | |
|
12 | 11 4 6 | diadmleN | |
13 | 9 11 4 5 6 | diass | |
14 | 8 10 12 13 | syl12anc | |
15 | 1 2 3 4 5 6 7 | docavalN | |
16 | 14 15 | syldan | |
17 | 4 6 | diaclN | |
18 | intmin | |
|
19 | 17 18 | syl | |
20 | 19 | fveq2d | |
21 | 4 6 | diaf11N | |
22 | f1ocnvfv1 | |
|
23 | 21 22 | sylan | |
24 | 20 23 | eqtrd | |
25 | 24 | fveq2d | |
26 | 25 | oveq1d | |
27 | 26 | fvoveq1d | |
28 | 16 27 | eqtr2d | |