Step |
Hyp |
Ref |
Expression |
1 |
|
frlmval.f |
|
2 |
|
frlmpws.b |
|
3 |
|
frlmlss.u |
|
4 |
1
|
frlmval |
|
5 |
4
|
fveq2d |
|
6 |
2 5
|
syl5eq |
|
7 |
|
simpr |
|
8 |
|
simpl |
|
9 |
|
rlmlmod |
|
10 |
9
|
adantr |
|
11 |
|
fconst6g |
|
12 |
10 11
|
syl |
|
13 |
|
fvex |
|
14 |
13
|
fvconst2 |
|
15 |
14
|
adantl |
|
16 |
15
|
fveq2d |
|
17 |
|
rlmsca |
|
18 |
17
|
ad2antrr |
|
19 |
16 18
|
eqtr4d |
|
20 |
|
eqid |
|
21 |
|
eqid |
|
22 |
|
eqid |
|
23 |
7 8 12 19 20 21 22
|
dsmmlss |
|
24 |
|
eqid |
|
25 |
|
eqid |
|
26 |
24 25
|
pwsval |
|
27 |
13 26
|
mpan |
|
28 |
27
|
adantl |
|
29 |
17
|
eqcomd |
|
30 |
29
|
adantr |
|
31 |
30
|
oveq1d |
|
32 |
28 31
|
eqtr2d |
|
33 |
32
|
fveq2d |
|
34 |
33 3
|
eqtr4di |
|
35 |
23 34
|
eleqtrd |
|
36 |
6 35
|
eqeltrd |
|