Step |
Hyp |
Ref |
Expression |
1 |
|
remulcand.1 |
|
2 |
|
remulcand.2 |
|
3 |
|
remulcand.3 |
|
4 |
|
remulcand.4 |
|
5 |
|
ax-rrecex |
|
6 |
3 4 5
|
syl2anc |
|
7 |
3
|
adantr |
|
8 |
7
|
adantr |
|
9 |
|
simplr |
|
10 |
|
simpr |
|
11 |
8 9 10
|
remulinvcom |
|
12 |
11
|
ex |
|
13 |
|
oveq2 |
|
14 |
13
|
3ad2ant3 |
|
15 |
|
simp2 |
|
16 |
15
|
oveq1d |
|
17 |
|
simp1r |
|
18 |
17
|
recnd |
|
19 |
7
|
3ad2ant1 |
|
20 |
19
|
recnd |
|
21 |
|
simp1l |
|
22 |
21 1
|
syl |
|
23 |
22
|
recnd |
|
24 |
18 20 23
|
mulassd |
|
25 |
|
remulid2 |
|
26 |
22 25
|
syl |
|
27 |
16 24 26
|
3eqtr3d |
|
28 |
15
|
oveq1d |
|
29 |
21 2
|
syl |
|
30 |
29
|
recnd |
|
31 |
18 20 30
|
mulassd |
|
32 |
|
remulid2 |
|
33 |
29 32
|
syl |
|
34 |
28 31 33
|
3eqtr3d |
|
35 |
14 27 34
|
3eqtr3d |
|
36 |
35
|
3exp |
|
37 |
12 36
|
syld |
|
38 |
37
|
impr |
|
39 |
6 38
|
rexlimddv |
|
40 |
|
oveq2 |
|
41 |
39 40
|
impbid1 |
|