Step |
Hyp |
Ref |
Expression |
1 |
|
nlmvscn.f |
|
2 |
|
nlmvscn.v |
|
3 |
|
nlmvscn.k |
|
4 |
|
nlmvscn.d |
|
5 |
|
nlmvscn.e |
|
6 |
|
nlmvscn.n |
|
7 |
|
nlmvscn.a |
|
8 |
|
nlmvscn.s |
|
9 |
|
nlmvscn.t |
|
10 |
|
nlmvscn.u |
|
11 |
|
nlmvscn.w |
|
12 |
|
nlmvscn.r |
|
13 |
|
nlmvscn.b |
|
14 |
|
nlmvscn.x |
|
15 |
12
|
rphalfcld |
|
16 |
1
|
nlmngp2 |
|
17 |
11 16
|
syl |
|
18 |
3 7
|
nmcl |
|
19 |
17 13 18
|
syl2anc |
|
20 |
3 7
|
nmge0 |
|
21 |
17 13 20
|
syl2anc |
|
22 |
19 21
|
ge0p1rpd |
|
23 |
15 22
|
rpdivcld |
|
24 |
9 23
|
eqeltrid |
|
25 |
|
nlmngp |
|
26 |
11 25
|
syl |
|
27 |
2 6
|
nmcl |
|
28 |
26 14 27
|
syl2anc |
|
29 |
24
|
rpred |
|
30 |
28 29
|
readdcld |
|
31 |
|
0red |
|
32 |
2 6
|
nmge0 |
|
33 |
26 14 32
|
syl2anc |
|
34 |
28 24
|
ltaddrpd |
|
35 |
31 28 30 33 34
|
lelttrd |
|
36 |
30 35
|
elrpd |
|
37 |
15 36
|
rpdivcld |
|
38 |
10 37
|
eqeltrid |
|
39 |
24 38
|
ifcld |
|
40 |
11
|
adantr |
|
41 |
12
|
adantr |
|
42 |
13
|
adantr |
|
43 |
14
|
adantr |
|
44 |
|
simprll |
|
45 |
|
simprlr |
|
46 |
17
|
adantr |
|
47 |
|
ngpms |
|
48 |
46 47
|
syl |
|
49 |
3 5
|
mscl |
|
50 |
48 42 44 49
|
syl3anc |
|
51 |
39
|
adantr |
|
52 |
51
|
rpred |
|
53 |
38
|
rpred |
|
54 |
53
|
adantr |
|
55 |
|
simprrl |
|
56 |
29
|
adantr |
|
57 |
|
min2 |
|
58 |
56 54 57
|
syl2anc |
|
59 |
50 52 54 55 58
|
ltletrd |
|
60 |
|
ngpms |
|
61 |
26 60
|
syl |
|
62 |
61
|
adantr |
|
63 |
2 4
|
mscl |
|
64 |
62 43 45 63
|
syl3anc |
|
65 |
|
simprrr |
|
66 |
|
min1 |
|
67 |
56 54 66
|
syl2anc |
|
68 |
64 52 56 65 67
|
ltletrd |
|
69 |
1 2 3 4 5 6 7 8 9 10 40 41 42 43 44 45 59 68
|
nlmvscnlem2 |
|
70 |
69
|
expr |
|
71 |
70
|
ralrimivva |
|
72 |
|
breq2 |
|
73 |
|
breq2 |
|
74 |
72 73
|
anbi12d |
|
75 |
74
|
imbi1d |
|
76 |
75
|
2ralbidv |
|
77 |
76
|
rspcev |
|
78 |
39 71 77
|
syl2anc |
|