Step |
Hyp |
Ref |
Expression |
1 |
|
smflimsuplem3.m |
|
2 |
|
smflimsuplem3.z |
|
3 |
|
smflimsuplem3.s |
|
4 |
|
smflimsuplem3.f |
|
5 |
|
smflimsuplem3.e |
|
6 |
|
smflimsuplem3.h |
|
7 |
|
nfv |
|
8 |
|
nfv |
|
9 |
|
nfv |
|
10 |
|
fvex |
|
11 |
10
|
dmex |
|
12 |
11
|
a1i |
|
13 |
|
fvexd |
|
14 |
3
|
adantr |
|
15 |
5
|
a1i |
|
16 |
|
eqid |
|
17 |
2
|
eluzelz2 |
|
18 |
|
eqid |
|
19 |
17 18
|
uzn0d |
|
20 |
|
fvex |
|
21 |
20
|
dmex |
|
22 |
21
|
rgenw |
|
23 |
22
|
a1i |
|
24 |
19 23
|
iinexd |
|
25 |
24
|
adantl |
|
26 |
16 25
|
rabexd |
|
27 |
15 26
|
fvmpt2d |
|
28 |
|
fvres |
|
29 |
28
|
eqcomd |
|
30 |
29
|
adantl |
|
31 |
30
|
dmeqd |
|
32 |
31
|
iineq2dv |
|
33 |
32
|
eleq2d |
|
34 |
29
|
fveq1d |
|
35 |
34
|
mpteq2ia |
|
36 |
35
|
rneqi |
|
37 |
36
|
supeq1i |
|
38 |
37
|
a1i |
|
39 |
38
|
eleq1d |
|
40 |
33 39
|
anbi12d |
|
41 |
40
|
rabbidva2 |
|
42 |
27 41
|
eqtrd |
|
43 |
42 38
|
mpteq12dv |
|
44 |
|
nfcv |
|
45 |
|
nfcv |
|
46 |
17
|
adantl |
|
47 |
4
|
adantr |
|
48 |
2
|
eleq2i |
|
49 |
48
|
biimpi |
|
50 |
|
uzss |
|
51 |
49 50
|
syl |
|
52 |
51 2
|
sseqtrrdi |
|
53 |
52
|
adantl |
|
54 |
47 53
|
fssresd |
|
55 |
|
eqid |
|
56 |
|
eqid |
|
57 |
44 45 46 18 14 54 55 56
|
smfsupxr |
|
58 |
43 57
|
eqeltrd |
|
59 |
58 6
|
fmptd |
|
60 |
59
|
ffvelrnda |
|
61 |
|
eqid |
|
62 |
14 60 61
|
smff |
|
63 |
62
|
feqmptd |
|
64 |
63
|
eqcomd |
|
65 |
64 60
|
eqeltrd |
|
66 |
|
eqid |
|
67 |
|
eqid |
|
68 |
7 8 9 1 2 12 13 3 65 66 67
|
smflimmpt |
|