Step |
Hyp |
Ref |
Expression |
1 |
|
bnj1145.1 |
|
2 |
|
bnj1145.2 |
|
3 |
|
bnj1145.3 |
|
4 |
|
bnj1145.4 |
|
5 |
|
bnj1145.5 |
|
6 |
|
bnj1145.6 |
|
7 |
1 2 3 4
|
bnj882 |
|
8 |
|
ss2iun |
|
9 |
5 4
|
bnj1083 |
|
10 |
2
|
bnj1095 |
|
11 |
10 5
|
bnj1096 |
|
12 |
3
|
bnj1098 |
|
13 |
5
|
bnj1232 |
|
14 |
13
|
3anim3i |
|
15 |
12 14
|
bnj1101 |
|
16 |
|
ancl |
|
17 |
15 16
|
bnj101 |
|
18 |
6
|
imbi2i |
|
19 |
18
|
exbii |
|
20 |
17 19
|
mpbir |
|
21 |
|
bnj213 |
|
22 |
21
|
bnj226 |
|
23 |
|
simpr |
|
24 |
6 23
|
simplbiim |
|
25 |
|
simp2 |
|
26 |
13
|
3ad2ant3 |
|
27 |
3
|
bnj923 |
|
28 |
|
elnn |
|
29 |
27 28
|
sylan2 |
|
30 |
25 26 29
|
syl2anc |
|
31 |
6 30
|
bnj832 |
|
32 |
|
vex |
|
33 |
32
|
bnj216 |
|
34 |
|
elnn |
|
35 |
33 34
|
sylan |
|
36 |
24 31 35
|
syl2anc |
|
37 |
6 25
|
bnj832 |
|
38 |
24 37
|
eqeltrrd |
|
39 |
2
|
bnj589 |
|
40 |
39
|
biimpi |
|
41 |
40
|
bnj708 |
|
42 |
|
rsp |
|
43 |
41 42
|
syl |
|
44 |
5 43
|
sylbi |
|
45 |
44
|
3ad2ant3 |
|
46 |
6 45
|
bnj832 |
|
47 |
36 38 46
|
mp2d |
|
48 |
|
fveqeq2 |
|
49 |
24 48
|
syl |
|
50 |
47 49
|
mpbird |
|
51 |
22 50
|
bnj1262 |
|
52 |
20 51
|
bnj1023 |
|
53 |
|
3anass |
|
54 |
53
|
imbi1i |
|
55 |
54
|
exbii |
|
56 |
52 55
|
mpbi |
|
57 |
1
|
biimpi |
|
58 |
5 57
|
bnj771 |
|
59 |
|
fveq2 |
|
60 |
|
bnj213 |
|
61 |
|
sseq1 |
|
62 |
60 61
|
mpbiri |
|
63 |
|
sseq1 |
|
64 |
63
|
biimpar |
|
65 |
59 62 64
|
syl2an |
|
66 |
58 65
|
sylan2 |
|
67 |
66
|
adantrl |
|
68 |
56 67
|
bnj1109 |
|
69 |
|
19.9v |
|
70 |
68 69
|
mpbi |
|
71 |
70
|
expcom |
|
72 |
|
fndm |
|
73 |
5 72
|
bnj770 |
|
74 |
|
eleq2 |
|
75 |
74
|
imbi1d |
|
76 |
73 75
|
syl |
|
77 |
71 76
|
mpbird |
|
78 |
11 77
|
hbralrimi |
|
79 |
78
|
exlimiv |
|
80 |
9 79
|
sylbi |
|
81 |
|
ss2iun |
|
82 |
|
bnj1143 |
|
83 |
81 82
|
sstrdi |
|
84 |
80 83
|
syl |
|
85 |
8 84
|
mprg |
|
86 |
4
|
bnj1317 |
|
87 |
86
|
bnj1146 |
|
88 |
85 87
|
sstri |
|
89 |
7 88
|
eqsstri |
|