Step |
Hyp |
Ref |
Expression |
1 |
|
opsrso.o |
|
2 |
|
opsrso.i |
|
3 |
|
opsrso.r |
|
4 |
|
opsrso.t |
|
5 |
|
opsrso.w |
|
6 |
|
opsrtoslem.s |
|
7 |
|
opsrtoslem.b |
|
8 |
|
opsrtoslem.q |
|
9 |
|
opsrtoslem.c |
|
10 |
|
opsrtoslem.d |
|
11 |
|
opsrtoslem.ps |
|
12 |
|
opsrtoslem.l |
|
13 |
2 2
|
xpexd |
|
14 |
13 4
|
ssexd |
|
15 |
9 10 2 14 5
|
ltbwe |
|
16 |
|
eqid |
|
17 |
|
eqid |
|
18 |
16 17 8
|
tosso |
|
19 |
18
|
ibi |
|
20 |
3 19
|
syl |
|
21 |
20
|
simpld |
|
22 |
11
|
opabbii |
|
23 |
22
|
wemapso |
|
24 |
15 21 23
|
syl2anc |
|
25 |
6 16 10 7 2
|
psrbas |
|
26 |
|
soeq2 |
|
27 |
25 26
|
syl |
|
28 |
24 27
|
mpbird |
|
29 |
|
soinxp |
|
30 |
28 29
|
sylib |
|
31 |
1
|
fvexi |
|
32 |
|
eqid |
|
33 |
12 32
|
pltfval |
|
34 |
31 33
|
ax-mp |
|
35 |
|
difundir |
|
36 |
|
resss |
|
37 |
|
ssdif0 |
|
38 |
36 37
|
mpbi |
|
39 |
38
|
uneq2i |
|
40 |
|
un0 |
|
41 |
35 39 40
|
3eqtri |
|
42 |
1 2 3 4 5 6 7 8 9 10 11 12
|
opsrtoslem1 |
|
43 |
42
|
difeq1d |
|
44 |
|
relinxp |
|
45 |
44
|
a1i |
|
46 |
|
df-br |
|
47 |
|
vex |
|
48 |
47
|
ideq |
|
49 |
46 48
|
bitr3i |
|
50 |
|
brin |
|
51 |
50
|
simprbi |
|
52 |
|
brxp |
|
53 |
52
|
simprbi |
|
54 |
51 53
|
syl |
|
55 |
|
sonr |
|
56 |
55
|
ex |
|
57 |
30 54 56
|
syl2im |
|
58 |
57
|
pm2.01d |
|
59 |
|
breq2 |
|
60 |
|
df-br |
|
61 |
59 60
|
bitrdi |
|
62 |
61
|
notbid |
|
63 |
58 62
|
syl5ibcom |
|
64 |
49 63
|
syl5bi |
|
65 |
64
|
con2d |
|
66 |
|
opex |
|
67 |
|
eldif |
|
68 |
66 67
|
mpbiran |
|
69 |
65 68
|
syl6ibr |
|
70 |
45 69
|
relssdv |
|
71 |
|
disj2 |
|
72 |
70 71
|
sylibr |
|
73 |
|
disj3 |
|
74 |
72 73
|
sylib |
|
75 |
41 43 74
|
3eqtr4a |
|
76 |
34 75
|
syl5eq |
|
77 |
|
soeq1 |
|
78 |
76 77
|
syl |
|
79 |
30 78
|
mpbird |
|
80 |
6 1 4
|
opsrbas |
|
81 |
7 80
|
syl5eq |
|
82 |
|
soeq2 |
|
83 |
81 82
|
syl |
|
84 |
79 83
|
mpbid |
|
85 |
81
|
reseq2d |
|
86 |
|
ssun2 |
|
87 |
85 86
|
eqsstrrdi |
|
88 |
87 42
|
sseqtrrd |
|
89 |
|
eqid |
|
90 |
89 12 32
|
tosso |
|
91 |
31 90
|
ax-mp |
|
92 |
84 88 91
|
sylanbrc |
|