Step |
Hyp |
Ref |
Expression |
1 |
|
wepwso.t |
|
2 |
|
wepwso.u |
|
3 |
|
wepwso.f |
|
4 |
3
|
pw2f1o2 |
|
5 |
|
fvex |
|
6 |
5
|
epeli |
|
7 |
|
elmapi |
|
8 |
7
|
ad2antrl |
|
9 |
8
|
ffvelrnda |
|
10 |
|
elmapi |
|
11 |
10
|
ad2antll |
|
12 |
11
|
ffvelrnda |
|
13 |
|
n0i |
|
14 |
13
|
adantl |
|
15 |
|
elpri |
|
16 |
|
df2o3 |
|
17 |
15 16
|
eleq2s |
|
18 |
17
|
ad2antlr |
|
19 |
|
orel1 |
|
20 |
14 18 19
|
sylc |
|
21 |
|
1on |
|
22 |
21
|
onirri |
|
23 |
|
eleq12 |
|
24 |
23
|
biimpd |
|
25 |
24
|
expcom |
|
26 |
25
|
com3r |
|
27 |
26
|
imp |
|
28 |
27
|
adantll |
|
29 |
22 28
|
mtoi |
|
30 |
20 29
|
mpdan |
|
31 |
20 30
|
jca |
|
32 |
|
elpri |
|
33 |
32 16
|
eleq2s |
|
34 |
33
|
adantr |
|
35 |
|
orel2 |
|
36 |
34 35
|
mpan9 |
|
37 |
36
|
adantrl |
|
38 |
|
0lt1o |
|
39 |
37 38
|
eqeltrdi |
|
40 |
|
simprl |
|
41 |
39 40
|
eleqtrrd |
|
42 |
31 41
|
impbida |
|
43 |
9 12 42
|
syl2anc |
|
44 |
|
simplrr |
|
45 |
3
|
pw2f1o2val2 |
|
46 |
44 45
|
sylancom |
|
47 |
|
simplrl |
|
48 |
3
|
pw2f1o2val2 |
|
49 |
47 48
|
sylancom |
|
50 |
49
|
notbid |
|
51 |
46 50
|
anbi12d |
|
52 |
43 51
|
bitr4d |
|
53 |
6 52
|
syl5bb |
|
54 |
8
|
ffvelrnda |
|
55 |
11
|
ffvelrnda |
|
56 |
|
eqeq1 |
|
57 |
|
simplr |
|
58 |
|
1n0 |
|
59 |
58
|
nesymi |
|
60 |
|
eqeq1 |
|
61 |
59 60
|
mtbiri |
|
62 |
61
|
ad2antlr |
|
63 |
|
simpr |
|
64 |
62 63
|
mtbid |
|
65 |
|
elpri |
|
66 |
65 16
|
eleq2s |
|
67 |
66
|
ad3antlr |
|
68 |
|
orel2 |
|
69 |
64 67 68
|
sylc |
|
70 |
57 69
|
eqtr4d |
|
71 |
70
|
ex |
|
72 |
|
simplr |
|
73 |
|
simpr |
|
74 |
72 73
|
mpbid |
|
75 |
72 74
|
eqtr4d |
|
76 |
75
|
ex |
|
77 |
|
elpri |
|
78 |
77 16
|
eleq2s |
|
79 |
78
|
adantr |
|
80 |
71 76 79
|
mpjaodan |
|
81 |
56 80
|
impbid2 |
|
82 |
54 55 81
|
syl2anc |
|
83 |
|
simplrl |
|
84 |
3
|
pw2f1o2val2 |
|
85 |
83 84
|
sylancom |
|
86 |
|
simplrr |
|
87 |
3
|
pw2f1o2val2 |
|
88 |
86 87
|
sylancom |
|
89 |
85 88
|
bibi12d |
|
90 |
82 89
|
bitr4d |
|
91 |
90
|
imbi2d |
|
92 |
91
|
ralbidva |
|
93 |
92
|
adantr |
|
94 |
53 93
|
anbi12d |
|
95 |
94
|
rexbidva |
|
96 |
|
vex |
|
97 |
|
vex |
|
98 |
|
fveq1 |
|
99 |
|
fveq1 |
|
100 |
98 99
|
breqan12d |
|
101 |
|
fveq1 |
|
102 |
|
fveq1 |
|
103 |
101 102
|
eqeqan12d |
|
104 |
103
|
imbi2d |
|
105 |
104
|
ralbidv |
|
106 |
100 105
|
anbi12d |
|
107 |
106
|
rexbidv |
|
108 |
96 97 107 2
|
braba |
|
109 |
|
fvex |
|
110 |
|
fvex |
|
111 |
|
eleq2 |
|
112 |
|
eleq2 |
|
113 |
112
|
notbid |
|
114 |
111 113
|
bi2anan9r |
|
115 |
|
eleq2 |
|
116 |
|
eleq2 |
|
117 |
115 116
|
bi2bian9 |
|
118 |
117
|
imbi2d |
|
119 |
118
|
ralbidv |
|
120 |
114 119
|
anbi12d |
|
121 |
120
|
rexbidv |
|
122 |
109 110 121 1
|
braba |
|
123 |
95 108 122
|
3bitr4g |
|
124 |
123
|
ralrimivva |
|
125 |
|
df-isom |
|
126 |
4 124 125
|
sylanbrc |
|