Step |
Hyp |
Ref |
Expression |
1 |
|
ulmss.z |
|
2 |
|
ulmss.t |
|
3 |
|
ulmss.a |
|
4 |
|
ulmss.u |
|
5 |
1
|
uztrn2 |
|
6 |
2
|
adantr |
|
7 |
|
ssralv |
|
8 |
6 7
|
syl |
|
9 |
|
fvres |
|
10 |
9
|
ad2antll |
|
11 |
|
simprl |
|
12 |
3
|
adantrr |
|
13 |
|
resexg |
|
14 |
12 13
|
syl |
|
15 |
|
eqid |
|
16 |
15
|
fvmpt2 |
|
17 |
11 14 16
|
syl2anc |
|
18 |
17
|
fveq1d |
|
19 |
|
eqid |
|
20 |
19
|
fvmpt2 |
|
21 |
11 12 20
|
syl2anc |
|
22 |
21
|
fveq1d |
|
23 |
10 18 22
|
3eqtr4d |
|
24 |
23
|
ralrimivva |
|
25 |
|
nfv |
|
26 |
|
nfcv |
|
27 |
|
nffvmpt1 |
|
28 |
|
nfcv |
|
29 |
27 28
|
nffv |
|
30 |
|
nffvmpt1 |
|
31 |
30 28
|
nffv |
|
32 |
29 31
|
nfeq |
|
33 |
26 32
|
nfralw |
|
34 |
|
fveq2 |
|
35 |
34
|
fveq1d |
|
36 |
|
fveq2 |
|
37 |
36
|
fveq1d |
|
38 |
35 37
|
eqeq12d |
|
39 |
38
|
ralbidv |
|
40 |
25 33 39
|
cbvralw |
|
41 |
24 40
|
sylib |
|
42 |
41
|
r19.21bi |
|
43 |
|
fvoveq1 |
|
44 |
43
|
breq1d |
|
45 |
44
|
ralimi |
|
46 |
|
ralbi |
|
47 |
42 45 46
|
3syl |
|
48 |
8 47
|
sylibrd |
|
49 |
5 48
|
sylan2 |
|
50 |
49
|
anassrs |
|
51 |
50
|
ralimdva |
|
52 |
51
|
reximdva |
|
53 |
52
|
ralimdv |
|
54 |
|
ulmf |
|
55 |
4 54
|
syl |
|
56 |
|
fdm |
|
57 |
19
|
dmmptss |
|
58 |
56 57
|
eqsstrrdi |
|
59 |
|
uzid |
|
60 |
59
|
adantl |
|
61 |
|
ssel |
|
62 |
|
eluzel2 |
|
63 |
62 1
|
eleq2s |
|
64 |
61 63
|
syl6 |
|
65 |
58 60 64
|
syl2imc |
|
66 |
65
|
rexlimdva |
|
67 |
55 66
|
mpd |
|
68 |
3
|
ralrimiva |
|
69 |
19
|
fnmpt |
|
70 |
68 69
|
syl |
|
71 |
|
frn |
|
72 |
71
|
rexlimivw |
|
73 |
55 72
|
syl |
|
74 |
|
df-f |
|
75 |
70 73 74
|
sylanbrc |
|
76 |
|
eqidd |
|
77 |
|
eqidd |
|
78 |
|
ulmcl |
|
79 |
4 78
|
syl |
|
80 |
|
ulmscl |
|
81 |
4 80
|
syl |
|
82 |
1 67 75 76 77 79 81
|
ulm2 |
|
83 |
75
|
fvmptelrn |
|
84 |
|
elmapi |
|
85 |
83 84
|
syl |
|
86 |
2
|
adantr |
|
87 |
85 86
|
fssresd |
|
88 |
|
cnex |
|
89 |
81 2
|
ssexd |
|
90 |
89
|
adantr |
|
91 |
|
elmapg |
|
92 |
88 90 91
|
sylancr |
|
93 |
87 92
|
mpbird |
|
94 |
93
|
fmpttd |
|
95 |
|
eqidd |
|
96 |
|
fvres |
|
97 |
96
|
adantl |
|
98 |
79 2
|
fssresd |
|
99 |
1 67 94 95 97 98 89
|
ulm2 |
|
100 |
53 82 99
|
3imtr4d |
|
101 |
4 100
|
mpd |
|