Step |
Hyp |
Ref |
Expression |
1 |
|
0ome.1 |
|
2 |
|
0ome.2 |
|
3 |
|
eqid |
|
4 |
|
0e0iccpnf |
|
5 |
4
|
a1i |
|
6 |
3 5
|
fmpti |
|
7 |
|
eqidd |
|
8 |
7
|
cbvmptv |
|
9 |
2 8
|
eqtri |
|
10 |
9
|
feq1i |
|
11 |
9
|
dmeqi |
|
12 |
|
0re |
|
13 |
12
|
rgenw |
|
14 |
|
dmmptg |
|
15 |
13 14
|
ax-mp |
|
16 |
11 15
|
eqtri |
|
17 |
16
|
feq2i |
|
18 |
10 17
|
bitri |
|
19 |
6 18
|
mpbir |
|
20 |
|
unipw |
|
21 |
20
|
pweqi |
|
22 |
21
|
eqcomi |
|
23 |
16
|
eqcomi |
|
24 |
23
|
unieqi |
|
25 |
24
|
pweqi |
|
26 |
16 22 25
|
3eqtri |
|
27 |
19 26
|
pm3.2i |
|
28 |
|
0elpw |
|
29 |
|
eqidd |
|
30 |
12
|
elexi |
|
31 |
29 9 30
|
fvmpt |
|
32 |
28 31
|
ax-mp |
|
33 |
27 32
|
pm3.2i |
|
34 |
12
|
leidi |
|
35 |
34
|
a1i |
|
36 |
|
eqidd |
|
37 |
|
elpwi |
|
38 |
37
|
adantl |
|
39 |
|
id |
|
40 |
22 25
|
eqtr2i |
|
41 |
40
|
a1i |
|
42 |
39 41
|
eleqtrd |
|
43 |
|
elpwi |
|
44 |
42 43
|
syl |
|
45 |
44
|
adantr |
|
46 |
38 45
|
sstrd |
|
47 |
|
simpr |
|
48 |
|
elpwg |
|
49 |
47 48
|
syl |
|
50 |
46 49
|
mpbird |
|
51 |
12
|
a1i |
|
52 |
9 36 50 51
|
fvmptd3 |
|
53 |
9
|
fvmpt2 |
|
54 |
42 12 53
|
sylancl |
|
55 |
54
|
adantr |
|
56 |
52 55
|
breq12d |
|
57 |
35 56
|
mpbird |
|
58 |
57
|
ralrimiva |
|
59 |
58
|
rgen |
|
60 |
33 59
|
pm3.2i |
|
61 |
34
|
a1i |
|
62 |
36
|
cbvmptv |
|
63 |
9 62
|
eqtri |
|
64 |
63
|
a1i |
|
65 |
|
eqidd |
|
66 |
|
id |
|
67 |
16
|
pweqi |
|
68 |
67
|
a1i |
|
69 |
66 68
|
eleqtrd |
|
70 |
|
elpwi |
|
71 |
69 70
|
syl |
|
72 |
|
sspwuni |
|
73 |
71 72
|
sylib |
|
74 |
|
vuniex |
|
75 |
74
|
a1i |
|
76 |
|
elpwg |
|
77 |
75 76
|
syl |
|
78 |
73 77
|
mpbird |
|
79 |
12
|
a1i |
|
80 |
64 65 78 79
|
fvmptd |
|
81 |
64
|
reseq1d |
|
82 |
|
resmpt |
|
83 |
71 82
|
syl |
|
84 |
81 83
|
eqtrd |
|
85 |
84
|
fveq2d |
|
86 |
|
nfv |
|
87 |
86 66
|
sge0z |
|
88 |
85 87
|
eqtrd |
|
89 |
80 88
|
breq12d |
|
90 |
61 89
|
mpbird |
|
91 |
90
|
a1d |
|
92 |
91
|
rgen |
|
93 |
60 92
|
pm3.2i |
|
94 |
93
|
a1i |
|
95 |
9
|
a1i |
|
96 |
1
|
pwexd |
|
97 |
|
mptexg |
|
98 |
96 97
|
syl |
|
99 |
95 98
|
eqeltrd |
|
100 |
|
isome |
|
101 |
99 100
|
syl |
|
102 |
94 101
|
mpbird |
|