Step |
Hyp |
Ref |
Expression |
1 |
|
tosglb.b |
|
2 |
|
tosglb.l |
|
3 |
|
tosglb.1 |
|
4 |
|
tosglb.2 |
|
5 |
|
tosglb.e |
|
6 |
3
|
ad2antrr |
|
7 |
4
|
adantr |
|
8 |
7
|
sselda |
|
9 |
|
simplr |
|
10 |
1 5 2
|
tltnle |
|
11 |
6 8 9 10
|
syl3anc |
|
12 |
11
|
con2bid |
|
13 |
12
|
ralbidva |
|
14 |
4
|
ad2antrr |
|
15 |
|
simpr |
|
16 |
14 15
|
sseldd |
|
17 |
1 5 2
|
tltnle |
|
18 |
3 17
|
syl3an1 |
|
19 |
18
|
3com23 |
|
20 |
19
|
3expa |
|
21 |
20
|
con2bid |
|
22 |
16 21
|
syldan |
|
23 |
22
|
ralbidva |
|
24 |
|
breq1 |
|
25 |
24
|
notbid |
|
26 |
25
|
cbvralvw |
|
27 |
|
ralnex |
|
28 |
26 27
|
bitri |
|
29 |
23 28
|
syl6bb |
|
30 |
29
|
adantlr |
|
31 |
3
|
ad2antrr |
|
32 |
|
simplr |
|
33 |
|
simpr |
|
34 |
1 5 2
|
tltnle |
|
35 |
31 32 33 34
|
syl3anc |
|
36 |
35
|
con2bid |
|
37 |
30 36
|
imbi12d |
|
38 |
|
con34b |
|
39 |
37 38
|
bitr4di |
|
40 |
39
|
ralbidva |
|
41 |
|
breq2 |
|
42 |
|
breq2 |
|
43 |
42
|
rexbidv |
|
44 |
41 43
|
imbi12d |
|
45 |
44
|
cbvralvw |
|
46 |
40 45
|
bitr4di |
|
47 |
13 46
|
anbi12d |
|
48 |
|
vex |
|
49 |
|
vex |
|
50 |
48 49
|
brcnv |
|
51 |
50
|
notbii |
|
52 |
51
|
ralbii |
|
53 |
49 48
|
brcnv |
|
54 |
|
vex |
|
55 |
49 54
|
brcnv |
|
56 |
55
|
rexbii |
|
57 |
53 56
|
imbi12i |
|
58 |
57
|
ralbii |
|
59 |
52 58
|
anbi12i |
|
60 |
47 59
|
bitr4di |
|