Step |
Hyp |
Ref |
Expression |
1 |
|
weiun.1 |
|
2 |
|
weiun.2 |
|
3 |
|
simpl1 |
|
4 |
|
weso |
|
5 |
3 4
|
syl |
|
6 |
|
simpl2 |
|
7 |
1 2 3 6
|
weiunlem2 |
|
8 |
7
|
simp1d |
|
9 |
|
simpr1 |
|
10 |
8 9
|
ffvelcdmd |
|
11 |
|
sonr |
|
12 |
5 10 11
|
syl2anc |
|
13 |
|
csbeq1 |
|
14 |
|
csbeq1 |
|
15 |
13 14
|
poeq12d |
|
16 |
|
simpl3 |
|
17 |
|
nfv |
|
18 |
|
nfcsb1v |
|
19 |
|
nfcsb1v |
|
20 |
18 19
|
nfpo |
|
21 |
|
csbeq1a |
|
22 |
|
csbeq1a |
|
23 |
21 22
|
poeq12d |
|
24 |
17 20 23
|
cbvralw |
|
25 |
16 24
|
sylib |
|
26 |
15 25 10
|
rspcdva |
|
27 |
|
id |
|
28 |
|
fveq2 |
|
29 |
28
|
csbeq1d |
|
30 |
27 29
|
eleq12d |
|
31 |
7
|
simp2d |
|
32 |
30 31 9
|
rspcdva |
|
33 |
|
poirr |
|
34 |
26 32 33
|
syl2anc |
|
35 |
34
|
intnand |
|
36 |
|
ioran |
|
37 |
12 35 36
|
sylanbrc |
|
38 |
1 2
|
weiunlem1 |
|
39 |
38
|
simprbi |
|
40 |
37 39
|
nsyl |
|
41 |
|
simpr3 |
|
42 |
9 41
|
jca |
|
43 |
1 2
|
weiunlem1 |
|
44 |
43
|
simprbi |
|
45 |
1 2
|
weiunlem1 |
|
46 |
45
|
simprbi |
|
47 |
|
simpr2 |
|
48 |
8 47
|
ffvelcdmd |
|
49 |
8 41
|
ffvelcdmd |
|
50 |
|
sotr |
|
51 |
5 10 48 49 50
|
syl13anc |
|
52 |
|
orc |
|
53 |
51 52
|
syl6 |
|
54 |
|
simprll |
|
55 |
|
simprr |
|
56 |
54 55
|
eqbrtrd |
|
57 |
56
|
orcd |
|
58 |
57
|
ex |
|
59 |
|
simprl |
|
60 |
|
simprrl |
|
61 |
59 60
|
breqtrd |
|
62 |
61
|
orcd |
|
63 |
62
|
ex |
|
64 |
|
simprll |
|
65 |
|
simprrl |
|
66 |
64 65
|
eqtrd |
|
67 |
|
simprlr |
|
68 |
|
simprrr |
|
69 |
64
|
csbeq1d |
|
70 |
69
|
breqd |
|
71 |
68 70
|
mpbird |
|
72 |
26
|
adantr |
|
73 |
32
|
adantr |
|
74 |
|
id |
|
75 |
|
fveq2 |
|
76 |
75
|
csbeq1d |
|
77 |
74 76
|
eleq12d |
|
78 |
77 31 47
|
rspcdva |
|
79 |
78
|
adantr |
|
80 |
64
|
csbeq1d |
|
81 |
79 80
|
eleqtrrd |
|
82 |
|
id |
|
83 |
|
fveq2 |
|
84 |
83
|
csbeq1d |
|
85 |
82 84
|
eleq12d |
|
86 |
85 31 41
|
rspcdva |
|
87 |
86
|
adantr |
|
88 |
66
|
csbeq1d |
|
89 |
87 88
|
eleqtrrd |
|
90 |
|
potr |
|
91 |
72 73 81 89 90
|
syl13anc |
|
92 |
67 71 91
|
mp2and |
|
93 |
66 92
|
jca |
|
94 |
93
|
olcd |
|
95 |
94
|
ex |
|
96 |
53 58 63 95
|
ccased |
|
97 |
44 46 96
|
syl2ani |
|
98 |
1 2
|
weiunlem1 |
|
99 |
98
|
biimpri |
|
100 |
42 97 99
|
syl6an |
|
101 |
40 100
|
jca |
|
102 |
101
|
ralrimivvva |
|
103 |
|
df-po |
|
104 |
102 103
|
sylibr |
|