Step |
Hyp |
Ref |
Expression |
1 |
|
icccmp.1 |
|
2 |
|
icccmp.2 |
|
3 |
|
icccmp.3 |
|
4 |
|
icccmp.4 |
|
5 |
|
icccmp.5 |
|
6 |
|
icccmp.6 |
|
7 |
|
icccmp.7 |
|
8 |
|
icccmp.8 |
|
9 |
|
icccmp.9 |
|
10 |
5
|
rexrd |
|
11 |
6
|
rexrd |
|
12 |
|
lbicc2 |
|
13 |
10 11 7 12
|
syl3anc |
|
14 |
9 13
|
sseldd |
|
15 |
|
eluni2 |
|
16 |
14 15
|
sylib |
|
17 |
|
snssi |
|
18 |
17
|
ad2antrl |
|
19 |
|
snex |
|
20 |
19
|
elpw |
|
21 |
18 20
|
sylibr |
|
22 |
|
snfi |
|
23 |
22
|
a1i |
|
24 |
21 23
|
elind |
|
25 |
10
|
adantr |
|
26 |
|
iccid |
|
27 |
25 26
|
syl |
|
28 |
|
snssi |
|
29 |
28
|
ad2antll |
|
30 |
27 29
|
eqsstrd |
|
31 |
|
unieq |
|
32 |
|
vex |
|
33 |
32
|
unisn |
|
34 |
31 33
|
eqtrdi |
|
35 |
34
|
sseq2d |
|
36 |
35
|
rspcev |
|
37 |
24 30 36
|
syl2anc |
|
38 |
16 37
|
rexlimddv |
|
39 |
|
oveq2 |
|
40 |
39
|
sseq1d |
|
41 |
40
|
rexbidv |
|
42 |
41 4
|
elrab2 |
|
43 |
13 38 42
|
sylanbrc |
|
44 |
4
|
ssrab3 |
|
45 |
44
|
sseli |
|
46 |
|
elicc2 |
|
47 |
5 6 46
|
syl2anc |
|
48 |
47
|
biimpa |
|
49 |
48
|
simp3d |
|
50 |
45 49
|
sylan2 |
|
51 |
50
|
ralrimiva |
|
52 |
43 51
|
jca |
|