Step |
Hyp |
Ref |
Expression |
1 |
|
ssltleft |
|
2 |
1
|
adantl |
|
3 |
|
ssltright |
|
4 |
3
|
adantl |
|
5 |
|
fveq2 |
|
6 |
|
eqimss |
|
7 |
5 6
|
syl |
|
8 |
7
|
a1i |
|
9 |
|
ssltsep |
|
10 |
|
vex |
|
11 |
|
breq2 |
|
12 |
10 11
|
ralsn |
|
13 |
12
|
ralbii |
|
14 |
9 13
|
sylib |
|
15 |
|
ssltsep |
|
16 |
|
breq1 |
|
17 |
16
|
ralbidv |
|
18 |
10 17
|
ralsn |
|
19 |
15 18
|
sylib |
|
20 |
14 19
|
anim12i |
|
21 |
|
leftval |
|
22 |
21
|
a1i |
|
23 |
22
|
raleqdv |
|
24 |
|
rightval |
|
25 |
24
|
a1i |
|
26 |
25
|
raleqdv |
|
27 |
23 26
|
anbi12d |
|
28 |
|
breq1 |
|
29 |
28
|
ralrab |
|
30 |
|
breq2 |
|
31 |
30
|
ralrab |
|
32 |
29 31
|
anbi12i |
|
33 |
27 32
|
bitrdi |
|
34 |
33
|
ad2antlr |
|
35 |
|
simplrl |
|
36 |
|
sltirr |
|
37 |
35 36
|
syl |
|
38 |
|
bdayelon |
|
39 |
|
bdayelon |
|
40 |
|
ontri1 |
|
41 |
38 39 40
|
mp2an |
|
42 |
41
|
con2bii |
|
43 |
|
simplll |
|
44 |
|
madebdaylemold |
|
45 |
38 43 35 44
|
mp3an2i |
|
46 |
|
slttrine |
|
47 |
46
|
ad2ant2lr |
|
48 |
|
simprrr |
|
49 |
|
breq2 |
|
50 |
|
breq2 |
|
51 |
49 50
|
imbi12d |
|
52 |
51
|
rspccv |
|
53 |
48 52
|
syl |
|
54 |
53
|
com23 |
|
55 |
|
simprrl |
|
56 |
|
breq1 |
|
57 |
|
breq1 |
|
58 |
56 57
|
imbi12d |
|
59 |
58
|
rspccv |
|
60 |
55 59
|
syl |
|
61 |
60
|
com23 |
|
62 |
54 61
|
jaod |
|
63 |
47 62
|
sylbid |
|
64 |
63
|
imp |
|
65 |
45 64
|
syld |
|
66 |
42 65
|
syl5bir |
|
67 |
37 66
|
mt3d |
|
68 |
67
|
ex |
|
69 |
68
|
expr |
|
70 |
34 69
|
sylbid |
|
71 |
70
|
impr |
|
72 |
20 71
|
sylanr2 |
|
73 |
8 72
|
pm2.61dne |
|
74 |
73
|
expr |
|
75 |
74
|
ralrimiva |
|
76 |
|
bdayfn |
|
77 |
|
ssrab2 |
|
78 |
|
fnssintima |
|
79 |
76 77 78
|
mp2an |
|
80 |
|
sneq |
|
81 |
80
|
breq2d |
|
82 |
80
|
breq1d |
|
83 |
81 82
|
anbi12d |
|
84 |
83
|
ralrab |
|
85 |
79 84
|
bitri |
|
86 |
75 85
|
sylibr |
|
87 |
|
sneq |
|
88 |
87
|
breq2d |
|
89 |
87
|
breq1d |
|
90 |
88 89
|
anbi12d |
|
91 |
|
simpr |
|
92 |
2 4
|
jca |
|
93 |
90 91 92
|
elrabd |
|
94 |
|
fnfvima |
|
95 |
76 77 93 94
|
mp3an12i |
|
96 |
|
intss1 |
|
97 |
95 96
|
syl |
|
98 |
86 97
|
eqssd |
|
99 |
|
lltropt |
|
100 |
|
eqscut |
|
101 |
99 100
|
mpancom |
|
102 |
101
|
adantl |
|
103 |
2 4 98 102
|
mpbir3and |
|