Step |
Hyp |
Ref |
Expression |
1 |
|
dvdivcncf.s |
|
2 |
|
dvdivcncf.f |
|
3 |
|
dvdivcncf.g |
|
4 |
|
dvdivcncf.fdv |
|
5 |
|
dvdivcncf.gdv |
|
6 |
|
cncff |
|
7 |
|
fdm |
|
8 |
4 6 7
|
3syl |
|
9 |
|
cncff |
|
10 |
|
fdm |
|
11 |
5 9 10
|
3syl |
|
12 |
1 2 3 8 11
|
dvdivf |
|
13 |
|
ax-resscn |
|
14 |
|
sseq1 |
|
15 |
13 14
|
mpbiri |
|
16 |
|
eqimss |
|
17 |
15 16
|
pm3.2i |
|
18 |
|
elpri |
|
19 |
1 18
|
syl |
|
20 |
|
pm3.44 |
|
21 |
17 19 20
|
mpsyl |
|
22 |
|
difssd |
|
23 |
3 22
|
fssd |
|
24 |
|
dvbsss |
|
25 |
8 24
|
eqsstrrdi |
|
26 |
|
dvcn |
|
27 |
21 23 25 11 26
|
syl31anc |
|
28 |
4 27
|
mulcncff |
|
29 |
|
dvcn |
|
30 |
21 2 25 8 29
|
syl31anc |
|
31 |
5 30
|
mulcncff |
|
32 |
28 31
|
subcncff |
|
33 |
|
eldifi |
|
34 |
33
|
adantr |
|
35 |
|
eldifi |
|
36 |
35
|
adantl |
|
37 |
34 36
|
mulcld |
|
38 |
|
eldifsni |
|
39 |
38
|
adantr |
|
40 |
|
eldifsni |
|
41 |
40
|
adantl |
|
42 |
34 36 39 41
|
mulne0d |
|
43 |
|
eldifsn |
|
44 |
37 42 43
|
sylanbrc |
|
45 |
44
|
adantl |
|
46 |
1 25
|
ssexd |
|
47 |
|
inidm |
|
48 |
45 3 3 46 46 47
|
off |
|
49 |
27 27
|
mulcncff |
|
50 |
|
cncffvrn |
|
51 |
22 49 50
|
syl2anc |
|
52 |
48 51
|
mpbird |
|
53 |
32 52
|
divcncff |
|
54 |
12 53
|
eqeltrd |
|