Step |
Hyp |
Ref |
Expression |
1 |
|
caures.1 |
|
2 |
|
caures.3 |
|
3 |
|
caures.4 |
|
4 |
|
caushft.4 |
|
5 |
|
caushft.5 |
|
6 |
|
caushft.7 |
|
7 |
|
caushft.8 |
|
8 |
|
caushft.9 |
|
9 |
|
metxmet |
|
10 |
3 9
|
syl |
|
11 |
6
|
ralrimiva |
|
12 |
|
fveq2 |
|
13 |
|
fvoveq1 |
|
14 |
12 13
|
eqeq12d |
|
15 |
14
|
rspccva |
|
16 |
11 15
|
sylan |
|
17 |
1 10 2 6 16
|
iscau4 |
|
18 |
7 17
|
mpbid |
|
19 |
18
|
simprd |
|
20 |
1
|
eleq2i |
|
21 |
20
|
biimpi |
|
22 |
|
eluzadd |
|
23 |
21 5 22
|
syl2anr |
|
24 |
23 4
|
eleqtrrdi |
|
25 |
|
simplr |
|
26 |
25 1
|
eleqtrdi |
|
27 |
|
eluzelz |
|
28 |
26 27
|
syl |
|
29 |
5
|
ad2antrr |
|
30 |
|
simpr |
|
31 |
|
eluzsub |
|
32 |
28 29 30 31
|
syl3anc |
|
33 |
|
simp3 |
|
34 |
33
|
ralimi |
|
35 |
|
fvoveq1 |
|
36 |
35
|
oveq1d |
|
37 |
36
|
breq1d |
|
38 |
37
|
rspcv |
|
39 |
32 34 38
|
syl2im |
|
40 |
|
eluzelz |
|
41 |
40
|
adantl |
|
42 |
41
|
zcnd |
|
43 |
5
|
zcnd |
|
44 |
43
|
ad2antrr |
|
45 |
42 44
|
npcand |
|
46 |
45
|
fveq2d |
|
47 |
46
|
oveq1d |
|
48 |
3
|
ad2antrr |
|
49 |
8
|
ad2antrr |
|
50 |
4
|
uztrn2 |
|
51 |
24 50
|
sylan |
|
52 |
49 51
|
ffvelrnd |
|
53 |
8
|
adantr |
|
54 |
53 24
|
ffvelrnd |
|
55 |
54
|
adantr |
|
56 |
|
metsym |
|
57 |
48 52 55 56
|
syl3anc |
|
58 |
47 57
|
eqtrd |
|
59 |
58
|
breq1d |
|
60 |
39 59
|
sylibd |
|
61 |
60
|
ralrimdva |
|
62 |
|
fveq2 |
|
63 |
|
fveq2 |
|
64 |
63
|
oveq1d |
|
65 |
64
|
breq1d |
|
66 |
62 65
|
raleqbidv |
|
67 |
66
|
rspcev |
|
68 |
24 61 67
|
syl6an |
|
69 |
68
|
rexlimdva |
|
70 |
69
|
ralimdv |
|
71 |
19 70
|
mpd |
|
72 |
2 5
|
zaddcld |
|
73 |
|
eqidd |
|
74 |
|
eqidd |
|
75 |
4 10 72 73 74 8
|
iscauf |
|
76 |
71 75
|
mpbird |
|