Step |
Hyp |
Ref |
Expression |
1 |
|
fsovd.fs |
|
2 |
|
fsovd.a |
|
3 |
|
fsovd.b |
|
4 |
|
fsovd.rf |
|
5 |
|
fsovd.cnv |
|
6 |
3 2
|
xpexd |
|
7 |
6
|
adantr |
|
8 |
|
elmapi |
|
9 |
8
|
ffvelrnda |
|
10 |
9
|
elpwid |
|
11 |
10
|
sseld |
|
12 |
11
|
impancom |
|
13 |
12
|
pm4.71d |
|
14 |
13
|
ex |
|
15 |
14
|
pm5.32rd |
|
16 |
|
ancom |
|
17 |
16
|
anbi1i |
|
18 |
15 17
|
syl6bb |
|
19 |
18
|
opabbidv |
|
20 |
|
opabssxp |
|
21 |
19 20
|
eqsstrdi |
|
22 |
21
|
adantl |
|
23 |
7 22
|
sselpwd |
|
24 |
|
eqidd |
|
25 |
4 3 2
|
rfovd |
|
26 |
|
breq |
|
27 |
26
|
rabbidv |
|
28 |
27
|
mpteq2dv |
|
29 |
|
breq1 |
|
30 |
29
|
rabbidv |
|
31 |
|
breq2 |
|
32 |
31
|
cbvrabv |
|
33 |
30 32
|
eqtrdi |
|
34 |
33
|
cbvmptv |
|
35 |
28 34
|
eqtrdi |
|
36 |
35
|
cbvmptv |
|
37 |
25 36
|
eqtrdi |
|
38 |
|
breq |
|
39 |
|
df-br |
|
40 |
|
vex |
|
41 |
|
vex |
|
42 |
|
eleq1w |
|
43 |
42
|
anbi2d |
|
44 |
|
eleq1w |
|
45 |
|
fveq2 |
|
46 |
45
|
eleq2d |
|
47 |
44 46
|
anbi12d |
|
48 |
40 41 43 47
|
opelopab |
|
49 |
39 48
|
bitri |
|
50 |
38 49
|
syl6bb |
|
51 |
50
|
rabbidv |
|
52 |
51
|
mpteq2dv |
|
53 |
|
ibar |
|
54 |
53
|
bicomd |
|
55 |
54
|
rabbiia |
|
56 |
|
fveq2 |
|
57 |
56
|
eleq2d |
|
58 |
57
|
cbvrabv |
|
59 |
55 58
|
eqtri |
|
60 |
59
|
mpteq2i |
|
61 |
|
eleq1w |
|
62 |
61
|
rabbidv |
|
63 |
62
|
cbvmptv |
|
64 |
60 63
|
eqtri |
|
65 |
52 64
|
eqtrdi |
|
66 |
23 24 37 65
|
fmptco |
|
67 |
2 3
|
xpexd |
|
68 |
67
|
adantr |
|
69 |
15
|
opabbidv |
|
70 |
|
opabssxp |
|
71 |
69 70
|
eqsstrdi |
|
72 |
71
|
adantl |
|
73 |
68 72
|
sselpwd |
|
74 |
|
eqid |
|
75 |
4 2 3 74
|
rfovcnvd |
|
76 |
5
|
a1i |
|
77 |
|
xpeq12 |
|
78 |
77
|
pweqd |
|
79 |
78
|
mpteq1d |
|
80 |
79
|
adantl |
|
81 |
2
|
elexd |
|
82 |
3
|
elexd |
|
83 |
|
pwexg |
|
84 |
|
mptexg |
|
85 |
67 83 84
|
3syl |
|
86 |
76 80 81 82 85
|
ovmpod |
|
87 |
|
cnveq |
|
88 |
|
cnvopab |
|
89 |
87 88
|
eqtrdi |
|
90 |
73 75 86 89
|
fmptco |
|
91 |
90
|
coeq2d |
|
92 |
1 2 3
|
fsovd |
|
93 |
66 91 92
|
3eqtr4rd |
|