Step |
Hyp |
Ref |
Expression |
1 |
|
odf1o1.x |
|
2 |
|
odf1o1.t |
|
3 |
|
odf1o1.o |
|
4 |
|
odf1o1.k |
|
5 |
|
simpl1 |
|
6 |
|
elfzoelz |
|
7 |
6
|
adantl |
|
8 |
|
simpl2 |
|
9 |
1 2
|
mulgcl |
|
10 |
5 7 8 9
|
syl3anc |
|
11 |
10
|
ex |
|
12 |
|
simpl3 |
|
13 |
12
|
nncnd |
|
14 |
13
|
subid1d |
|
15 |
14
|
breq1d |
|
16 |
|
fzocongeq |
|
17 |
16
|
adantl |
|
18 |
|
simpl1 |
|
19 |
|
simpl2 |
|
20 |
6
|
ad2antrl |
|
21 |
|
elfzoelz |
|
22 |
21
|
ad2antll |
|
23 |
|
eqid |
|
24 |
1 3 2 23
|
odcong |
|
25 |
18 19 20 22 24
|
syl112anc |
|
26 |
15 17 25
|
3bitr3rd |
|
27 |
26
|
ex |
|
28 |
11 27
|
dom2lem |
|
29 |
|
f1fn |
|
30 |
28 29
|
syl |
|
31 |
|
resss |
|
32 |
6
|
ssriv |
|
33 |
|
resmpt |
|
34 |
32 33
|
ax-mp |
|
35 |
|
oveq1 |
|
36 |
35
|
cbvmptv |
|
37 |
31 34 36
|
3sstr3i |
|
38 |
|
rnss |
|
39 |
37 38
|
mp1i |
|
40 |
|
simpr |
|
41 |
|
simpl3 |
|
42 |
|
zmodfzo |
|
43 |
40 41 42
|
syl2anc |
|
44 |
1 3 2 23
|
odmod |
|
45 |
44
|
3an1rs |
|
46 |
45
|
eqcomd |
|
47 |
|
oveq1 |
|
48 |
47
|
rspceeqv |
|
49 |
43 46 48
|
syl2anc |
|
50 |
|
ovex |
|
51 |
|
eqid |
|
52 |
51
|
elrnmpt |
|
53 |
50 52
|
ax-mp |
|
54 |
49 53
|
sylibr |
|
55 |
54
|
fmpttd |
|
56 |
55
|
frnd |
|
57 |
39 56
|
eqssd |
|
58 |
|
eqid |
|
59 |
1 2 58 4
|
cycsubg2 |
|
60 |
59
|
3adant3 |
|
61 |
57 60
|
eqtr4d |
|
62 |
|
df-fo |
|
63 |
30 61 62
|
sylanbrc |
|
64 |
|
df-f1 |
|
65 |
64
|
simprbi |
|
66 |
28 65
|
syl |
|
67 |
|
dff1o3 |
|
68 |
63 66 67
|
sylanbrc |
|