Step |
Hyp |
Ref |
Expression |
1 |
|
lrrec.1 |
|
2 |
|
df-fr |
|
3 |
|
bdayfun |
|
4 |
|
imassrn |
|
5 |
|
bdayrn |
|
6 |
4 5
|
sseqtri |
|
7 |
|
fvex |
|
8 |
7
|
jctr |
|
9 |
8
|
eximi |
|
10 |
|
n0 |
|
11 |
|
df-rex |
|
12 |
9 10 11
|
3imtr4i |
|
13 |
|
isset |
|
14 |
|
eqcom |
|
15 |
14
|
exbii |
|
16 |
13 15
|
bitri |
|
17 |
16
|
rexbii |
|
18 |
|
rexcom4 |
|
19 |
17 18
|
bitri |
|
20 |
12 19
|
sylib |
|
21 |
20
|
adantl |
|
22 |
|
bdayfn |
|
23 |
|
fvelimab |
|
24 |
22 23
|
mpan |
|
25 |
24
|
adantr |
|
26 |
25
|
exbidv |
|
27 |
21 26
|
mpbird |
|
28 |
|
n0 |
|
29 |
27 28
|
sylibr |
|
30 |
|
onint |
|
31 |
6 29 30
|
sylancr |
|
32 |
|
fvelima |
|
33 |
3 31 32
|
sylancr |
|
34 |
|
fnfvima |
|
35 |
22 34
|
mp3an1 |
|
36 |
35
|
adantlr |
|
37 |
|
onnmin |
|
38 |
6 36 37
|
sylancr |
|
39 |
38
|
ralrimiva |
|
40 |
|
eleq2 |
|
41 |
40
|
notbid |
|
42 |
41
|
ralbidv |
|
43 |
39 42
|
syl5ibrcom |
|
44 |
43
|
reximdv |
|
45 |
33 44
|
mpd |
|
46 |
|
simpll |
|
47 |
|
simprr |
|
48 |
46 47
|
sseldd |
|
49 |
|
simprl |
|
50 |
46 49
|
sseldd |
|
51 |
1
|
lrrecval2 |
|
52 |
48 50 51
|
syl2anc |
|
53 |
52
|
notbid |
|
54 |
53
|
anassrs |
|
55 |
54
|
ralbidva |
|
56 |
55
|
rexbidva |
|
57 |
45 56
|
mpbird |
|
58 |
2 57
|
mpgbir |
|