Step |
Hyp |
Ref |
Expression |
1 |
|
cuteq1.1 |
|
2 |
|
cuteq1.2 |
|
3 |
|
cuteq1.3 |
|
4 |
|
bday1s |
|
5 |
|
df-1o |
|
6 |
4 5
|
eqtri |
|
7 |
|
ssltsep |
|
8 |
|
dfral2 |
|
9 |
8
|
ralbii |
|
10 |
|
ralnex |
|
11 |
9 10
|
bitri |
|
12 |
7 11
|
sylib |
|
13 |
|
0sno |
|
14 |
|
sltirr |
|
15 |
13 14
|
ax-mp |
|
16 |
|
breq1 |
|
17 |
16
|
notbid |
|
18 |
17
|
rspcev |
|
19 |
1 15 18
|
sylancl |
|
20 |
13
|
elexi |
|
21 |
|
breq2 |
|
22 |
21
|
notbid |
|
23 |
20 22
|
rexsn |
|
24 |
23
|
rexbii |
|
25 |
19 24
|
sylibr |
|
26 |
12 25
|
nsyl3 |
|
27 |
26
|
adantr |
|
28 |
|
sneq |
|
29 |
28
|
breq2d |
|
30 |
29
|
notbid |
|
31 |
27 30
|
syl5ibrcom |
|
32 |
31
|
necon2ad |
|
33 |
32
|
adantrd |
|
34 |
33
|
impr |
|
35 |
|
bday0b |
|
36 |
35
|
ad2antrl |
|
37 |
36
|
necon3bid |
|
38 |
34 37
|
mpbird |
|
39 |
|
bdayelon |
|
40 |
39
|
onordi |
|
41 |
|
ord0eln0 |
|
42 |
40 41
|
ax-mp |
|
43 |
|
0elon |
|
44 |
43 39
|
onsucssi |
|
45 |
42 44
|
bitr3i |
|
46 |
38 45
|
sylib |
|
47 |
6 46
|
eqsstrid |
|
48 |
47
|
expr |
|
49 |
48
|
ralrimiva |
|
50 |
|
1sno |
|
51 |
50
|
elexi |
|
52 |
51
|
snnz |
|
53 |
|
sslttr |
|
54 |
52 53
|
mp3an3 |
|
55 |
2 3 54
|
syl2anc |
|
56 |
|
eqscut2 |
|
57 |
55 50 56
|
sylancl |
|
58 |
2 3 49 57
|
mpbir3and |
|