Step |
Hyp |
Ref |
Expression |
1 |
|
pmapglb.b |
|
2 |
|
pmapglb.g |
|
3 |
|
pmapglb.m |
|
4 |
|
df-rex |
|
5 |
|
equcom |
|
6 |
5
|
anbi1ci |
|
7 |
6
|
exbii |
|
8 |
|
eleq1w |
|
9 |
8
|
equsexvw |
|
10 |
4 7 9
|
3bitri |
|
11 |
10
|
abbii |
|
12 |
|
abid2 |
|
13 |
11 12
|
eqtr2i |
|
14 |
13
|
fveq2i |
|
15 |
14
|
fveq2i |
|
16 |
|
dfss3 |
|
17 |
1 2 3
|
pmapglbx |
|
18 |
16 17
|
syl3an2b |
|
19 |
15 18
|
syl5eq |
|