Step |
Hyp |
Ref |
Expression |
1 |
|
madebdayim |
|
2 |
1
|
ex |
|
3 |
2
|
adantr |
|
4 |
|
sseq2 |
|
5 |
|
fveq2 |
|
6 |
5
|
eleq2d |
|
7 |
4 6
|
imbi12d |
|
8 |
7
|
ralbidv |
|
9 |
|
fveq2 |
|
10 |
9
|
sseq1d |
|
11 |
|
eleq1 |
|
12 |
10 11
|
imbi12d |
|
13 |
12
|
cbvralvw |
|
14 |
8 13
|
bitrdi |
|
15 |
|
sseq2 |
|
16 |
|
fveq2 |
|
17 |
16
|
eleq2d |
|
18 |
15 17
|
imbi12d |
|
19 |
18
|
ralbidv |
|
20 |
|
bdayelon |
|
21 |
|
onsseleq |
|
22 |
20 21
|
mpan |
|
23 |
22
|
ad2antrr |
|
24 |
|
simpll |
|
25 |
|
onelss |
|
26 |
25
|
ad2antrr |
|
27 |
26
|
imp |
|
28 |
|
madess |
|
29 |
20 24 27 28
|
mp3an2ani |
|
30 |
|
ssid |
|
31 |
|
simpr |
|
32 |
|
simplr |
|
33 |
31 32
|
jca |
|
34 |
|
simpllr |
|
35 |
|
sseq2 |
|
36 |
|
fveq2 |
|
37 |
36
|
eleq2d |
|
38 |
35 37
|
imbi12d |
|
39 |
|
fveq2 |
|
40 |
39
|
sseq1d |
|
41 |
|
eleq1 |
|
42 |
40 41
|
imbi12d |
|
43 |
38 42
|
rspc2v |
|
44 |
33 34 43
|
sylc |
|
45 |
30 44
|
mpi |
|
46 |
29 45
|
sseldd |
|
47 |
46
|
ex |
|
48 |
|
madebdaylemlrcut |
|
49 |
20
|
a1i |
|
50 |
|
lltropt |
|
51 |
|
leftssold |
|
52 |
|
rightssold |
|
53 |
|
madecut |
|
54 |
49 50 51 52 53
|
syl22anc |
|
55 |
54
|
adantl |
|
56 |
48 55
|
eqeltrrd |
|
57 |
|
raleq |
|
58 |
57
|
anbi1d |
|
59 |
|
fveq2 |
|
60 |
59
|
eleq2d |
|
61 |
58 60
|
imbi12d |
|
62 |
56 61
|
mpbii |
|
63 |
62
|
com12 |
|
64 |
63
|
adantll |
|
65 |
47 64
|
jaod |
|
66 |
23 65
|
sylbid |
|
67 |
66
|
ralrimiva |
|
68 |
67
|
ex |
|
69 |
14 19 68
|
tfis3 |
|
70 |
|
fveq2 |
|
71 |
70
|
sseq1d |
|
72 |
|
eleq1 |
|
73 |
71 72
|
imbi12d |
|
74 |
73
|
rspccva |
|
75 |
69 74
|
sylan |
|
76 |
3 75
|
impbid |
|