Step |
Hyp |
Ref |
Expression |
1 |
|
llncvrlpln.b |
|
2 |
|
llncvrlpln.c |
|
3 |
|
llncvrlpln.n |
|
4 |
|
llncvrlpln.p |
|
5 |
|
simpll1 |
|
6 |
|
simpll3 |
|
7 |
|
simpr |
|
8 |
|
simplr |
|
9 |
1 2 3 4
|
lplni |
|
10 |
5 6 7 8 9
|
syl31anc |
|
11 |
|
simpll1 |
|
12 |
|
simpll2 |
|
13 |
|
eqid |
|
14 |
13 4
|
lplnneat |
|
15 |
11 14
|
sylancom |
|
16 |
|
simplr |
|
17 |
|
breq1 |
|
18 |
16 17
|
syl5ibcom |
|
19 |
|
simpll3 |
|
20 |
|
eqid |
|
21 |
1 20 2 13
|
isat2 |
|
22 |
11 19 21
|
syl2anc |
|
23 |
18 22
|
sylibrd |
|
24 |
23
|
necon3bd |
|
25 |
15 24
|
mpd |
|
26 |
3 4
|
lplnnelln |
|
27 |
11 26
|
sylancom |
|
28 |
1 2 13 3
|
atcvrlln |
|
29 |
28
|
adantr |
|
30 |
27 29
|
mtbird |
|
31 |
|
eqid |
|
32 |
1 31 20 13 3
|
llnle |
|
33 |
11 12 25 30 32
|
syl22anc |
|
34 |
|
simpr3 |
|
35 |
|
simpll1 |
|
36 |
|
hlop |
|
37 |
35 36
|
syl |
|
38 |
|
simpr2 |
|
39 |
1 3
|
llnbase |
|
40 |
38 39
|
syl |
|
41 |
|
simpll2 |
|
42 |
|
simpll3 |
|
43 |
|
simpr1 |
|
44 |
1 31 2
|
cvrle |
|
45 |
44
|
adantr |
|
46 |
|
hlpos |
|
47 |
35 46
|
syl |
|
48 |
1 31
|
postr |
|
49 |
47 40 41 42 48
|
syl13anc |
|
50 |
34 45 49
|
mp2and |
|
51 |
31 2 3 4
|
llncvrlpln2 |
|
52 |
35 38 43 50 51
|
syl31anc |
|
53 |
|
simplr |
|
54 |
1 31 2
|
cvrcmp2 |
|
55 |
37 40 41 42 52 53 54
|
syl132anc |
|
56 |
34 55
|
mpbid |
|
57 |
56 38
|
eqeltrrd |
|
58 |
57
|
3exp2 |
|
59 |
58
|
imp |
|
60 |
59
|
rexlimdv |
|
61 |
33 60
|
mpd |
|
62 |
10 61
|
impbida |
|