Step |
Hyp |
Ref |
Expression |
1 |
|
gcdcllem2.1 |
|
2 |
|
gcdcllem2.2 |
|
3 |
2
|
ssrab3 |
|
4 |
|
prssi |
|
5 |
|
neorian |
|
6 |
|
prid1g |
|
7 |
|
neeq1 |
|
8 |
7
|
rspcev |
|
9 |
6 8
|
sylan |
|
10 |
9
|
adantlr |
|
11 |
|
prid2g |
|
12 |
|
neeq1 |
|
13 |
12
|
rspcev |
|
14 |
11 13
|
sylan |
|
15 |
14
|
adantll |
|
16 |
10 15
|
jaodan |
|
17 |
5 16
|
sylan2br |
|
18 |
1
|
gcdcllem1 |
|
19 |
4 17 18
|
syl2an2r |
|
20 |
1 2
|
gcdcllem2 |
|
21 |
|
neeq1 |
|
22 |
|
raleq |
|
23 |
22
|
rexbidv |
|
24 |
21 23
|
anbi12d |
|
25 |
20 24
|
syl |
|
26 |
25
|
adantr |
|
27 |
19 26
|
mpbird |
|
28 |
|
suprzcl2 |
|
29 |
3 28
|
mp3an1 |
|
30 |
27 29
|
syl |
|
31 |
3 30
|
sselid |
|
32 |
27
|
simprd |
|
33 |
|
1dvds |
|
34 |
|
1dvds |
|
35 |
33 34
|
anim12i |
|
36 |
|
1z |
|
37 |
|
breq1 |
|
38 |
|
breq1 |
|
39 |
37 38
|
anbi12d |
|
40 |
39 2
|
elrab2 |
|
41 |
36 40
|
mpbiran |
|
42 |
35 41
|
sylibr |
|
43 |
42
|
adantr |
|
44 |
|
suprzub |
|
45 |
3 32 43 44
|
mp3an2i |
|
46 |
|
elnnz1 |
|
47 |
31 45 46
|
sylanbrc |
|
48 |
|
breq1 |
|
49 |
|
breq1 |
|
50 |
48 49
|
anbi12d |
|
51 |
|
breq1 |
|
52 |
|
breq1 |
|
53 |
51 52
|
anbi12d |
|
54 |
53
|
cbvrabv |
|
55 |
2 54
|
eqtri |
|
56 |
50 55
|
elrab2 |
|
57 |
30 56
|
sylib |
|
58 |
57
|
simprd |
|
59 |
|
breq1 |
|
60 |
|
breq1 |
|
61 |
59 60
|
anbi12d |
|
62 |
61 2
|
elrab2 |
|
63 |
62
|
biimpri |
|
64 |
63
|
3impb |
|
65 |
|
suprzub |
|
66 |
65
|
3expia |
|
67 |
3 66
|
mpan |
|
68 |
32 64 67
|
syl2im |
|
69 |
47 58 68
|
3jca |
|