Step |
Hyp |
Ref |
Expression |
1 |
|
pimrecltpos.x |
|
2 |
|
pimrecltpos.b |
|
3 |
|
pimrecltpos.n |
|
4 |
|
pimrecltpos.c |
|
5 |
|
rabidim1 |
|
6 |
5
|
adantr |
|
7 |
|
simpr |
|
8 |
6 7
|
jca |
|
9 |
|
rabid |
|
10 |
8 9
|
sylibr |
|
11 |
|
elun2 |
|
12 |
10 11
|
syl |
|
13 |
12
|
adantll |
|
14 |
|
0red |
|
15 |
5 2
|
sylan2 |
|
16 |
15
|
adantr |
|
17 |
5
|
adantl |
|
18 |
3
|
necomd |
|
19 |
17 18
|
syldan |
|
20 |
19
|
adantr |
|
21 |
|
simpr |
|
22 |
14 16 20 21
|
lttri5d |
|
23 |
17
|
adantr |
|
24 |
15
|
adantr |
|
25 |
|
simpr |
|
26 |
24 25
|
elrpd |
|
27 |
4
|
ad2antrr |
|
28 |
|
rabidim2 |
|
29 |
28
|
ad2antlr |
|
30 |
26 27 29
|
ltrec1d |
|
31 |
23 30
|
jca |
|
32 |
|
rabid |
|
33 |
31 32
|
sylibr |
|
34 |
|
elun1 |
|
35 |
33 34
|
syl |
|
36 |
22 35
|
syldan |
|
37 |
13 36
|
pm2.61dan |
|
38 |
37
|
ex |
|
39 |
32
|
simplbi |
|
40 |
39
|
adantl |
|
41 |
4
|
adantr |
|
42 |
40 2
|
syldan |
|
43 |
|
0red |
|
44 |
41
|
rprecred |
|
45 |
4
|
rpred |
|
46 |
4
|
rpgt0d |
|
47 |
45 46
|
recgt0d |
|
48 |
47
|
adantr |
|
49 |
32
|
simprbi |
|
50 |
49
|
adantl |
|
51 |
43 44 42 48 50
|
lttrd |
|
52 |
42 51
|
elrpd |
|
53 |
41 52 50
|
ltrec1d |
|
54 |
40 53
|
jca |
|
55 |
|
rabid |
|
56 |
54 55
|
sylibr |
|
57 |
56
|
adantlr |
|
58 |
|
simpll |
|
59 |
|
elunnel1 |
|
60 |
59
|
adantll |
|
61 |
9
|
simplbi |
|
62 |
61
|
adantl |
|
63 |
2 3
|
rereccld |
|
64 |
62 63
|
syldan |
|
65 |
|
0red |
|
66 |
45
|
adantr |
|
67 |
62 2
|
syldan |
|
68 |
9
|
simprbi |
|
69 |
68
|
adantl |
|
70 |
67 69
|
reclt0d |
|
71 |
46
|
adantr |
|
72 |
64 65 66 70 71
|
lttrd |
|
73 |
62 72
|
jca |
|
74 |
73 55
|
sylibr |
|
75 |
58 60 74
|
syl2anc |
|
76 |
57 75
|
pm2.61dan |
|
77 |
76
|
ex |
|
78 |
38 77
|
impbid |
|
79 |
1 78
|
alrimi |
|
80 |
|
nfrab1 |
|
81 |
|
nfrab1 |
|
82 |
|
nfrab1 |
|
83 |
81 82
|
nfun |
|
84 |
80 83
|
cleqf |
|
85 |
79 84
|
sylibr |
|