Step |
Hyp |
Ref |
Expression |
1 |
|
sigar |
|
2 |
|
simp1 |
|
3 |
2
|
cjcld |
|
4 |
|
simp2 |
|
5 |
|
simpr |
|
6 |
5
|
recnd |
|
7 |
6
|
3adant1 |
|
8 |
3 4 7
|
mulassd |
|
9 |
8
|
fveq2d |
|
10 |
|
simp3 |
|
11 |
3 4
|
mulcld |
|
12 |
10 11
|
immul2d |
|
13 |
11 7
|
mulcomd |
|
14 |
13
|
fveq2d |
|
15 |
|
imcl |
|
16 |
15
|
recnd |
|
17 |
11 16
|
syl |
|
18 |
17 7
|
mulcomd |
|
19 |
12 14 18
|
3eqtr4d |
|
20 |
9 19
|
eqtr3d |
|
21 |
|
simpl |
|
22 |
21 6
|
mulcld |
|
23 |
22
|
3adant1 |
|
24 |
1
|
sigarval |
|
25 |
2 23 24
|
syl2anc |
|
26 |
1
|
sigarval |
|
27 |
26
|
3adant3 |
|
28 |
27
|
oveq1d |
|
29 |
20 25 28
|
3eqtr4d |
|