Step |
Hyp |
Ref |
Expression |
1 |
|
grprinvlem.c |
|
2 |
|
grprinvlem.o |
|
3 |
|
grprinvlem.i |
|
4 |
|
grprinvlem.a |
|
5 |
|
grprinvlem.n |
|
6 |
|
grprinvlem.x |
|
7 |
|
grprinvlem.e |
|
8 |
5
|
ralrimiva |
|
9 |
|
oveq2 |
|
10 |
9
|
eqeq1d |
|
11 |
10
|
rexbidv |
|
12 |
11
|
cbvralvw |
|
13 |
8 12
|
sylib |
|
14 |
|
oveq2 |
|
15 |
14
|
eqeq1d |
|
16 |
15
|
rexbidv |
|
17 |
16
|
rspccva |
|
18 |
13 6 17
|
syl2an2r |
|
19 |
7
|
oveq2d |
|
20 |
19
|
adantr |
|
21 |
|
simprr |
|
22 |
21
|
oveq1d |
|
23 |
4
|
caovassg |
|
24 |
23
|
ad4ant14 |
|
25 |
|
simprl |
|
26 |
6
|
adantr |
|
27 |
24 25 26 26
|
caovassd |
|
28 |
|
oveq2 |
|
29 |
|
id |
|
30 |
28 29
|
eqeq12d |
|
31 |
3
|
ralrimiva |
|
32 |
|
oveq2 |
|
33 |
|
id |
|
34 |
32 33
|
eqeq12d |
|
35 |
34
|
cbvralvw |
|
36 |
31 35
|
sylib |
|
37 |
36
|
adantr |
|
38 |
30 37 6
|
rspcdva |
|
39 |
38
|
adantr |
|
40 |
22 27 39
|
3eqtr3d |
|
41 |
20 40 21
|
3eqtr3d |
|
42 |
18 41
|
rexlimddv |
|