Step |
Hyp |
Ref |
Expression |
1 |
|
erclwwlkn.w |
|
2 |
|
erclwwlkn.r |
|
3 |
|
eqid |
|
4 |
3
|
fusgrvtxfi |
|
5 |
4
|
adantr |
|
6 |
1 2
|
hashclwwlkn0 |
|
7 |
5 6
|
syl |
|
8 |
|
fusgrusgr |
|
9 |
|
usgrumgr |
|
10 |
8 9
|
syl |
|
11 |
1 2
|
umgrhashecclwwlk |
|
12 |
10 11
|
sylan |
|
13 |
12
|
imp |
|
14 |
13
|
sumeq2dv |
|
15 |
1 2
|
qerclwwlknfi |
|
16 |
5 15
|
syl |
|
17 |
|
prmnn |
|
18 |
17
|
nncnd |
|
19 |
18
|
adantl |
|
20 |
|
fsumconst |
|
21 |
16 19 20
|
syl2anc |
|
22 |
7 14 21
|
3eqtrd |
|