Step |
Hyp |
Ref |
Expression |
1 |
|
axlowdimlem15.1 |
|
2 |
|
eqid |
|
3 |
2
|
axlowdimlem7 |
|
4 |
3
|
adantr |
|
5 |
|
eluzge3nn |
|
6 |
|
eqid |
|
7 |
6
|
axlowdimlem10 |
|
8 |
5 7
|
sylan |
|
9 |
4 8
|
ifcld |
|
10 |
9 1
|
fmptd |
|
11 |
|
eqeq1 |
|
12 |
|
oveq1 |
|
13 |
12
|
opeq1d |
|
14 |
13
|
sneqd |
|
15 |
12
|
sneqd |
|
16 |
15
|
difeq2d |
|
17 |
16
|
xpeq1d |
|
18 |
14 17
|
uneq12d |
|
19 |
11 18
|
ifbieq2d |
|
20 |
|
snex |
|
21 |
|
ovex |
|
22 |
21
|
difexi |
|
23 |
|
snex |
|
24 |
22 23
|
xpex |
|
25 |
20 24
|
unex |
|
26 |
|
snex |
|
27 |
21
|
difexi |
|
28 |
27 23
|
xpex |
|
29 |
26 28
|
unex |
|
30 |
25 29
|
ifex |
|
31 |
19 1 30
|
fvmpt |
|
32 |
|
eqeq1 |
|
33 |
|
oveq1 |
|
34 |
33
|
opeq1d |
|
35 |
34
|
sneqd |
|
36 |
33
|
sneqd |
|
37 |
36
|
difeq2d |
|
38 |
37
|
xpeq1d |
|
39 |
35 38
|
uneq12d |
|
40 |
32 39
|
ifbieq2d |
|
41 |
|
snex |
|
42 |
21
|
difexi |
|
43 |
42 23
|
xpex |
|
44 |
41 43
|
unex |
|
45 |
25 44
|
ifex |
|
46 |
40 1 45
|
fvmpt |
|
47 |
31 46
|
eqeqan12d |
|
48 |
47
|
adantl |
|
49 |
|
eqtr3 |
|
50 |
49
|
2a1d |
|
51 |
|
eqid |
|
52 |
2 51
|
axlowdimlem13 |
|
53 |
52
|
neneqd |
|
54 |
53
|
pm2.21d |
|
55 |
54
|
adantrl |
|
56 |
5 55
|
sylan |
|
57 |
|
iftrue |
|
58 |
|
iffalse |
|
59 |
57 58
|
eqeqan12d |
|
60 |
59
|
imbi1d |
|
61 |
56 60
|
syl5ibr |
|
62 |
|
eqid |
|
63 |
2 62
|
axlowdimlem13 |
|
64 |
63
|
necomd |
|
65 |
64
|
neneqd |
|
66 |
65
|
pm2.21d |
|
67 |
5 66
|
sylan |
|
68 |
67
|
adantrr |
|
69 |
|
iffalse |
|
70 |
|
iftrue |
|
71 |
69 70
|
eqeqan12d |
|
72 |
71
|
imbi1d |
|
73 |
68 72
|
syl5ibr |
|
74 |
62 51
|
axlowdimlem14 |
|
75 |
74
|
3expb |
|
76 |
5 75
|
sylan |
|
77 |
69 58
|
eqeqan12d |
|
78 |
77
|
imbi1d |
|
79 |
76 78
|
syl5ibr |
|
80 |
50 61 73 79
|
4cases |
|
81 |
48 80
|
sylbid |
|
82 |
81
|
ralrimivva |
|
83 |
|
dff13 |
|
84 |
10 82 83
|
sylanbrc |
|