Step |
Hyp |
Ref |
Expression |
1 |
|
rfovd.rf |
|
2 |
|
rfovd.a |
|
3 |
|
rfovd.b |
|
4 |
|
rfovcnvf1od.f |
|
5 |
|
eqid |
|
6 |
|
ssrab2 |
|
7 |
6
|
a1i |
|
8 |
3 7
|
sselpwd |
|
9 |
8
|
adantr |
|
10 |
9
|
fmpttd |
|
11 |
3
|
pwexd |
|
12 |
11 2
|
elmapd |
|
13 |
10 12
|
mpbird |
|
14 |
13
|
adantr |
|
15 |
2 3
|
xpexd |
|
16 |
15
|
adantr |
|
17 |
11 2
|
elmapd |
|
18 |
17
|
biimpa |
|
19 |
18
|
ffvelrnda |
|
20 |
19
|
ex |
|
21 |
|
elpwi |
|
22 |
21
|
sseld |
|
23 |
20 22
|
syl6 |
|
24 |
23
|
imdistand |
|
25 |
|
trud |
|
26 |
24 25
|
jca2 |
|
27 |
26
|
ssopab2dv |
|
28 |
|
opabssxp |
|
29 |
27 28
|
sstrdi |
|
30 |
16 29
|
sselpwd |
|
31 |
|
simplrr |
|
32 |
|
elmapfn |
|
33 |
31 32
|
syl |
|
34 |
3
|
ad2antrr |
|
35 |
|
rabexg |
|
36 |
35
|
ralrimivw |
|
37 |
|
nfcv |
|
38 |
37
|
fnmptf |
|
39 |
34 36 38
|
3syl |
|
40 |
|
dfin5 |
|
41 |
|
simpllr |
|
42 |
|
elmapi |
|
43 |
41 42
|
simpl2im |
|
44 |
|
simpr |
|
45 |
43 44
|
ffvelrnd |
|
46 |
45
|
elpwid |
|
47 |
|
sseqin2 |
|
48 |
46 47
|
sylib |
|
49 |
|
ibar |
|
50 |
49
|
rabbidv |
|
51 |
50
|
adantl |
|
52 |
40 48 51
|
3eqtr3a |
|
53 |
|
breq2 |
|
54 |
53
|
cbvrabv |
|
55 |
|
breq1 |
|
56 |
|
df-br |
|
57 |
55 56
|
syl6bb |
|
58 |
57
|
rabbidv |
|
59 |
54 58
|
syl5eq |
|
60 |
59
|
cbvmptv |
|
61 |
|
simpr |
|
62 |
61
|
opeq1d |
|
63 |
|
simpllr |
|
64 |
62 63
|
eleq12d |
|
65 |
|
vex |
|
66 |
|
vex |
|
67 |
|
simpl |
|
68 |
67
|
eleq1d |
|
69 |
|
simpr |
|
70 |
67
|
fveq2d |
|
71 |
69 70
|
eleq12d |
|
72 |
68 71
|
anbi12d |
|
73 |
65 66 72
|
opelopaba |
|
74 |
64 73
|
syl6bb |
|
75 |
74
|
rabbidv |
|
76 |
3
|
ad3antrrr |
|
77 |
|
rabexg |
|
78 |
76 77
|
syl |
|
79 |
60 75 44 78
|
fvmptd2 |
|
80 |
52 79
|
eqtr4d |
|
81 |
33 39 80
|
eqfnfvd |
|
82 |
|
simplrl |
|
83 |
82
|
elpwid |
|
84 |
|
xpss |
|
85 |
83 84
|
sstrdi |
|
86 |
|
df-rel |
|
87 |
85 86
|
sylibr |
|
88 |
|
relopab |
|
89 |
88
|
a1i |
|
90 |
|
simpl |
|
91 |
3 90
|
anim12i |
|
92 |
91
|
anim1i |
|
93 |
|
vex |
|
94 |
|
simpl |
|
95 |
94
|
eleq1d |
|
96 |
|
simpr |
|
97 |
94
|
fveq2d |
|
98 |
96 97
|
eleq12d |
|
99 |
95 98
|
anbi12d |
|
100 |
65 93 99
|
opelopaba |
|
101 |
|
breq2 |
|
102 |
|
df-br |
|
103 |
101 102
|
syl6bb |
|
104 |
103
|
elrab |
|
105 |
104
|
anbi2i |
|
106 |
105
|
a1i |
|
107 |
|
simplr |
|
108 |
|
breq1 |
|
109 |
108
|
rabbidv |
|
110 |
|
breq2 |
|
111 |
110
|
cbvrabv |
|
112 |
109 111
|
eqtrdi |
|
113 |
112
|
cbvmptv |
|
114 |
107 113
|
eqtrdi |
|
115 |
|
breq1 |
|
116 |
115
|
rabbidv |
|
117 |
116
|
adantl |
|
118 |
|
simpr |
|
119 |
|
rabexg |
|
120 |
119
|
ad3antrrr |
|
121 |
114 117 118 120
|
fvmptd |
|
122 |
121
|
eleq2d |
|
123 |
122
|
pm5.32da |
|
124 |
|
simplr |
|
125 |
124
|
elpwid |
|
126 |
65 93
|
opeldm |
|
127 |
|
dmss |
|
128 |
|
dmxpss |
|
129 |
127 128
|
sstrdi |
|
130 |
129
|
sseld |
|
131 |
126 130
|
syl5 |
|
132 |
131
|
pm4.71rd |
|
133 |
65 93
|
opelrn |
|
134 |
|
rnss |
|
135 |
|
rnxpss |
|
136 |
134 135
|
sstrdi |
|
137 |
136
|
sseld |
|
138 |
133 137
|
syl5 |
|
139 |
138
|
pm4.71rd |
|
140 |
139
|
anbi2d |
|
141 |
132 140
|
bitrd |
|
142 |
125 141
|
syl |
|
143 |
106 123 142
|
3bitr4d |
|
144 |
100 143
|
syl5rbb |
|
145 |
144
|
eqrelrdv2 |
|
146 |
87 89 92 145
|
syl21anc |
|
147 |
81 146
|
impbida |
|
148 |
5 14 30 147
|
f1ocnv2d |
|
149 |
1 2 3
|
rfovd |
|
150 |
4 149
|
syl5eq |
|
151 |
|
f1oeq1 |
|
152 |
|
cnveq |
|
153 |
152
|
eqeq1d |
|
154 |
151 153
|
anbi12d |
|
155 |
150 154
|
syl |
|
156 |
148 155
|
mpbird |
|