Step |
Hyp |
Ref |
Expression |
1 |
|
addclprlem1 |
|
2 |
1
|
adantlr |
|
3 |
|
addclprlem1 |
|
4 |
|
addcomnq |
|
5 |
4
|
breq2i |
|
6 |
4
|
fveq2i |
|
7 |
6
|
oveq2i |
|
8 |
7
|
oveq1i |
|
9 |
8
|
eleq1i |
|
10 |
3 5 9
|
3imtr4g |
|
11 |
10
|
adantll |
|
12 |
2 11
|
jcad |
|
13 |
|
simpl |
|
14 |
|
simpl |
|
15 |
|
simpl |
|
16 |
14 15
|
anim12i |
|
17 |
|
df-plp |
|
18 |
|
addclnq |
|
19 |
17 18
|
genpprecl |
|
20 |
13 16 19
|
3syl |
|
21 |
12 20
|
syld |
|
22 |
|
distrnq |
|
23 |
|
mulassnq |
|
24 |
22 23
|
eqtr3i |
|
25 |
|
mulcomnq |
|
26 |
|
elprnq |
|
27 |
|
elprnq |
|
28 |
26 27
|
anim12i |
|
29 |
|
addclnq |
|
30 |
|
recidnq |
|
31 |
28 29 30
|
3syl |
|
32 |
25 31
|
eqtrid |
|
33 |
32
|
oveq2d |
|
34 |
|
mulidnq |
|
35 |
33 34
|
sylan9eq |
|
36 |
24 35
|
eqtrid |
|
37 |
36
|
eleq1d |
|
38 |
21 37
|
sylibd |
|