Step |
Hyp |
Ref |
Expression |
1 |
|
cantnfs.s |
|
2 |
|
cantnfs.a |
|
3 |
|
cantnfs.b |
|
4 |
|
oemapval.t |
|
5 |
|
oemapval.f |
|
6 |
|
oemapval.g |
|
7 |
|
oemapvali.r |
|
8 |
|
oemapvali.x |
|
9 |
1 2 3 4 5 6
|
oemapval |
|
10 |
7 9
|
mpbid |
|
11 |
|
ssrab2 |
|
12 |
3
|
adantr |
|
13 |
|
onss |
|
14 |
12 13
|
syl |
|
15 |
11 14
|
sstrid |
|
16 |
1 2 3
|
cantnfs |
|
17 |
6 16
|
mpbid |
|
18 |
17
|
simprd |
|
19 |
18
|
adantr |
|
20 |
3
|
3ad2ant1 |
|
21 |
|
simp2 |
|
22 |
17
|
simpld |
|
23 |
22
|
ffnd |
|
24 |
23
|
3ad2ant1 |
|
25 |
|
ne0i |
|
26 |
25
|
3ad2ant3 |
|
27 |
|
fvn0elsupp |
|
28 |
20 21 24 26 27
|
syl22anc |
|
29 |
28
|
rabssdv |
|
30 |
29
|
adantr |
|
31 |
|
fsuppimp |
|
32 |
|
ssfi |
|
33 |
32
|
ex |
|
34 |
31 33
|
simpl2im |
|
35 |
19 30 34
|
sylc |
|
36 |
|
fveq2 |
|
37 |
|
fveq2 |
|
38 |
36 37
|
eleq12d |
|
39 |
|
simprl |
|
40 |
|
simprrl |
|
41 |
38 39 40
|
elrabd |
|
42 |
41
|
ne0d |
|
43 |
|
ordunifi |
|
44 |
15 35 42 43
|
syl3anc |
|
45 |
8 44
|
eqeltrid |
|
46 |
11 45
|
sseldi |
|
47 |
|
fveq2 |
|
48 |
|
fveq2 |
|
49 |
47 48
|
eleq12d |
|
50 |
|
fveq2 |
|
51 |
|
fveq2 |
|
52 |
50 51
|
eleq12d |
|
53 |
52
|
cbvrabv |
|
54 |
49 53
|
elrab2 |
|
55 |
45 54
|
sylib |
|
56 |
55
|
simprd |
|
57 |
|
simprrr |
|
58 |
2
|
adantr |
|
59 |
22
|
adantr |
|
60 |
59 46
|
ffvelrnd |
|
61 |
|
onelon |
|
62 |
58 60 61
|
syl2anc |
|
63 |
|
eloni |
|
64 |
|
ordirr |
|
65 |
62 63 64
|
3syl |
|
66 |
|
nelneq |
|
67 |
56 65 66
|
syl2anc |
|
68 |
|
eleq2 |
|
69 |
|
fveq2 |
|
70 |
|
fveq2 |
|
71 |
69 70
|
eqeq12d |
|
72 |
68 71
|
imbi12d |
|
73 |
72 57 46
|
rspcdva |
|
74 |
67 73
|
mtod |
|
75 |
|
ssexg |
|
76 |
11 12 75
|
sylancr |
|
77 |
|
ssonuni |
|
78 |
76 15 77
|
sylc |
|
79 |
8 78
|
eqeltrid |
|
80 |
|
onelon |
|
81 |
12 39 80
|
syl2anc |
|
82 |
|
ontri1 |
|
83 |
79 81 82
|
syl2anc |
|
84 |
74 83
|
mpbird |
|
85 |
|
elssuni |
|
86 |
85 8
|
sseqtrrdi |
|
87 |
41 86
|
syl |
|
88 |
84 87
|
eqssd |
|
89 |
|
eleq1 |
|
90 |
89
|
imbi1d |
|
91 |
90
|
ralbidv |
|
92 |
88 91
|
syl |
|
93 |
57 92
|
mpbird |
|
94 |
46 56 93
|
3jca |
|
95 |
10 94
|
rexlimddv |
|