Step |
Hyp |
Ref |
Expression |
1 |
|
ulmshft.z |
|
2 |
|
ulmshft.w |
|
3 |
|
ulmshft.m |
|
4 |
|
ulmshft.k |
|
5 |
|
ulmshft.f |
|
6 |
|
ulmshft.h |
|
7 |
3
|
ad2antrr |
|
8 |
5
|
ad2antrr |
|
9 |
|
eqidd |
|
10 |
|
eqidd |
|
11 |
|
simplr |
|
12 |
|
simpr |
|
13 |
1 7 8 9 10 11 12
|
ulmi |
|
14 |
|
simpr |
|
15 |
14 1
|
eleqtrdi |
|
16 |
4
|
ad3antrrr |
|
17 |
|
eluzadd |
|
18 |
15 16 17
|
syl2anc |
|
19 |
18 2
|
eleqtrrdi |
|
20 |
|
eluzelz |
|
21 |
15 20
|
syl |
|
22 |
21
|
adantr |
|
23 |
4
|
adantr |
|
24 |
23
|
ad3antrrr |
|
25 |
|
simpr |
|
26 |
|
eluzsub |
|
27 |
22 24 25 26
|
syl3anc |
|
28 |
|
fveq2 |
|
29 |
28
|
fveq1d |
|
30 |
29
|
fvoveq1d |
|
31 |
30
|
breq1d |
|
32 |
31
|
ralbidv |
|
33 |
32
|
rspcv |
|
34 |
27 33
|
syl |
|
35 |
34
|
ralrimdva |
|
36 |
|
fveq2 |
|
37 |
36
|
raleqdv |
|
38 |
37
|
rspcev |
|
39 |
19 35 38
|
syl6an |
|
40 |
39
|
rexlimdva |
|
41 |
13 40
|
mpd |
|
42 |
41
|
ralrimiva |
|
43 |
3 4
|
zaddcld |
|
44 |
43
|
adantr |
|
45 |
5
|
adantr |
|
46 |
3
|
adantr |
|
47 |
4
|
adantr |
|
48 |
|
simpr |
|
49 |
48 2
|
eleqtrdi |
|
50 |
|
eluzsub |
|
51 |
46 47 49 50
|
syl3anc |
|
52 |
51 1
|
eleqtrrdi |
|
53 |
45 52
|
ffvelrnd |
|
54 |
6 53
|
fmpt3d |
|
55 |
54
|
adantr |
|
56 |
6
|
ad2antrr |
|
57 |
56
|
fveq1d |
|
58 |
|
fvoveq1 |
|
59 |
|
eqid |
|
60 |
|
fvex |
|
61 |
58 59 60
|
fvmpt |
|
62 |
61
|
ad2antrl |
|
63 |
57 62
|
eqtrd |
|
64 |
63
|
fveq1d |
|
65 |
|
eqidd |
|
66 |
|
ulmcl |
|
67 |
66
|
adantl |
|
68 |
|
ulmscl |
|
69 |
68
|
adantl |
|
70 |
2 44 55 64 65 67 69
|
ulm2 |
|
71 |
42 70
|
mpbird |
|
72 |
71
|
ex |
|