Step |
Hyp |
Ref |
Expression |
1 |
|
smfsupmpt.n |
|
2 |
|
smfsupmpt.x |
|
3 |
|
smfsupmpt.y |
|
4 |
|
smfsupmpt.m |
|
5 |
|
smfsupmpt.z |
|
6 |
|
smfsupmpt.s |
|
7 |
|
smfsupmpt.b |
|
8 |
|
smfsupmpt.f |
|
9 |
|
smfsupmpt.d |
|
10 |
|
smfsupmpt.g |
|
11 |
|
eqidd |
|
12 |
11 8
|
fvmpt2d |
|
13 |
12
|
dmeqd |
|
14 |
|
nfcv |
|
15 |
14
|
nfcri |
|
16 |
2 15
|
nfan |
|
17 |
|
eqid |
|
18 |
7
|
3expa |
|
19 |
16 17 18
|
dmmptdf |
|
20 |
13 19
|
eqtr2d |
|
21 |
1 20
|
iineq2d |
|
22 |
|
nfcv |
|
23 |
|
nfmpt1 |
|
24 |
14 23
|
nfmpt |
|
25 |
|
nfcv |
|
26 |
24 25
|
nffv |
|
27 |
26
|
nfdm |
|
28 |
14 27
|
nfiin |
|
29 |
22 28
|
rabeqf |
|
30 |
21 29
|
syl |
|
31 |
|
nfv |
|
32 |
3 31
|
nfan |
|
33 |
|
nfii1 |
|
34 |
33
|
nfcri |
|
35 |
1 34
|
nfan |
|
36 |
|
simpll |
|
37 |
|
simpr |
|
38 |
|
eliinid |
|
39 |
38
|
adantll |
|
40 |
13 19
|
eqtrd |
|
41 |
40
|
adantlr |
|
42 |
39 41
|
eleqtrd |
|
43 |
12
|
fveq1d |
|
44 |
43
|
3adant3 |
|
45 |
|
simp3 |
|
46 |
|
fvmpt4 |
|
47 |
45 7 46
|
syl2anc |
|
48 |
44 47
|
eqtr2d |
|
49 |
48
|
breq1d |
|
50 |
36 37 42 49
|
syl3anc |
|
51 |
35 50
|
ralbida |
|
52 |
32 51
|
rexbid |
|
53 |
2 52
|
rabbida |
|
54 |
30 53
|
eqtrd |
|
55 |
9 54
|
syl5eq |
|
56 |
|
nfcv |
|
57 |
|
nfra1 |
|
58 |
56 57
|
nfrex |
|
59 |
|
nfii1 |
|
60 |
58 59
|
nfrabw |
|
61 |
9 60
|
nfcxfr |
|
62 |
61
|
nfcri |
|
63 |
1 62
|
nfan |
|
64 |
|
simpll |
|
65 |
|
simpr |
|
66 |
|
rabidim1 |
|
67 |
66 9
|
eleq2s |
|
68 |
|
eliinid |
|
69 |
67 68
|
sylan |
|
70 |
69
|
adantll |
|
71 |
64 65 70 48
|
syl3anc |
|
72 |
63 71
|
mpteq2da |
|
73 |
72
|
rneqd |
|
74 |
73
|
supeq1d |
|
75 |
2 55 74
|
mpteq12da |
|
76 |
10 75
|
syl5eq |
|
77 |
|
nfmpt1 |
|
78 |
1 8
|
fmptd2f |
|
79 |
|
eqid |
|
80 |
|
eqid |
|
81 |
77 24 4 5 6 78 79 80
|
smfsup |
|
82 |
76 81
|
eqeltrd |
|