Step |
Hyp |
Ref |
Expression |
1 |
|
lsatfixed.v |
|
2 |
|
lsatfixed.p |
|
3 |
|
lsatfixed.o |
|
4 |
|
lsatfixed.n |
|
5 |
|
lsatfixed.a |
|
6 |
|
lsatfixed.w |
|
7 |
|
lsatfixed.q |
|
8 |
|
lsatfixed.x |
|
9 |
|
lsatfixed.y |
|
10 |
|
lsatfixed.e |
|
11 |
|
lsatfixed.f |
|
12 |
|
lsatfixed.g |
|
13 |
1 4 3 5
|
islsat |
|
14 |
6 13
|
syl |
|
15 |
7 14
|
mpbid |
|
16 |
6
|
3ad2ant1 |
|
17 |
8
|
3ad2ant1 |
|
18 |
9
|
3ad2ant1 |
|
19 |
|
simp2 |
|
20 |
|
simp3 |
|
21 |
20
|
eqcomd |
|
22 |
10
|
3ad2ant1 |
|
23 |
21 22
|
eqnetrd |
|
24 |
1 3 4 16 19 17 23
|
lspsnne1 |
|
25 |
11
|
3ad2ant1 |
|
26 |
21 25
|
eqnetrd |
|
27 |
1 3 4 16 19 18 26
|
lspsnne1 |
|
28 |
12
|
3ad2ant1 |
|
29 |
21 28
|
eqsstrd |
|
30 |
|
eqid |
|
31 |
|
lveclmod |
|
32 |
6 31
|
syl |
|
33 |
32
|
3ad2ant1 |
|
34 |
1 30 4 32 8 9
|
lspprcl |
|
35 |
34
|
3ad2ant1 |
|
36 |
19
|
eldifad |
|
37 |
1 30 4 33 35 36
|
lspsnel5 |
|
38 |
29 37
|
mpbird |
|
39 |
1 2 3 4 16 17 18 24 27 38
|
lspfixed |
|
40 |
|
simpl1 |
|
41 |
40 6
|
syl |
|
42 |
|
simpl2 |
|
43 |
40 32
|
syl |
|
44 |
40 8
|
syl |
|
45 |
9
|
snssd |
|
46 |
1 4
|
lspssv |
|
47 |
32 45 46
|
syl2anc |
|
48 |
47
|
ssdifssd |
|
49 |
48
|
3ad2ant1 |
|
50 |
49
|
sselda |
|
51 |
1 2
|
lmodvacl |
|
52 |
43 44 50 51
|
syl3anc |
|
53 |
1 3 4 41 42 52
|
lspsncmp |
|
54 |
1 30 4
|
lspsncl |
|
55 |
43 52 54
|
syl2anc |
|
56 |
42
|
eldifad |
|
57 |
1 30 4 43 55 56
|
lspsnel5 |
|
58 |
|
simpl3 |
|
59 |
58
|
eqeq1d |
|
60 |
53 57 59
|
3bitr4rd |
|
61 |
60
|
rexbidva |
|
62 |
39 61
|
mpbird |
|
63 |
62
|
rexlimdv3a |
|
64 |
15 63
|
mpd |
|