Step |
Hyp |
Ref |
Expression |
1 |
|
aks4d1p1p3.1 |
|
2 |
|
aks4d1p1p3.2 |
|
3 |
|
aks4d1p1p3.3 |
|
4 |
|
2re |
|
5 |
4
|
a1i |
|
6 |
|
2pos |
|
7 |
6
|
a1i |
|
8 |
1
|
nnred |
|
9 |
1
|
nngt0d |
|
10 |
|
1red |
|
11 |
|
1lt2 |
|
12 |
11
|
a1i |
|
13 |
10 12
|
ltned |
|
14 |
13
|
necomd |
|
15 |
5 7 8 9 14
|
relogbcld |
|
16 |
|
5nn0 |
|
17 |
16
|
a1i |
|
18 |
15 17
|
reexpcld |
|
19 |
|
ceilcl |
|
20 |
18 19
|
syl |
|
21 |
20
|
zred |
|
22 |
2
|
a1i |
|
23 |
22
|
eleq1d |
|
24 |
21 23
|
mpbird |
|
25 |
|
0red |
|
26 |
|
7re |
|
27 |
26
|
a1i |
|
28 |
|
7pos |
|
29 |
28
|
a1i |
|
30 |
8 3
|
3lexlogpow5ineq3 |
|
31 |
|
ceilge |
|
32 |
18 31
|
syl |
|
33 |
27 18 21 30 32
|
ltletrd |
|
34 |
22
|
eqcomd |
|
35 |
33 34
|
breqtrd |
|
36 |
25 27 24 29 35
|
lttrd |
|
37 |
5 7 24 36 14
|
relogbcld |
|
38 |
37
|
flcld |
|
39 |
38
|
zred |
|
40 |
18 10
|
readdcld |
|
41 |
18
|
ltp1d |
|
42 |
27 18 40 30 41
|
lttrd |
|
43 |
25 27 40 29 42
|
lttrd |
|
44 |
5 7 40 43 14
|
relogbcld |
|
45 |
|
flle |
|
46 |
37 45
|
syl |
|
47 |
|
ceilm1lt |
|
48 |
18 47
|
syl |
|
49 |
21 10 18
|
ltsubaddd |
|
50 |
48 49
|
mpbid |
|
51 |
22 50
|
eqbrtrd |
|
52 |
|
2z |
|
53 |
52
|
a1i |
|
54 |
53
|
uzidd |
|
55 |
24 36
|
elrpd |
|
56 |
40 43
|
elrpd |
|
57 |
|
logblt |
|
58 |
54 55 56 57
|
syl3anc |
|
59 |
51 58
|
mpbid |
|
60 |
39 37 44 46 59
|
lelttrd |
|
61 |
|
3re |
|
62 |
61
|
a1i |
|
63 |
|
1lt3 |
|
64 |
63
|
a1i |
|
65 |
10 62 8 64 3
|
ltletrd |
|
66 |
8 65 39 44
|
cxpltd |
|
67 |
60 66
|
mpbid |
|