Step |
Hyp |
Ref |
Expression |
1 |
|
1stctop |
|
2 |
|
resttop |
|
3 |
1 2
|
sylan |
|
4 |
|
eqid |
|
5 |
4
|
restuni2 |
|
6 |
1 5
|
sylan |
|
7 |
6
|
eleq2d |
|
8 |
7
|
biimpar |
|
9 |
|
simpl |
|
10 |
|
elinel2 |
|
11 |
4
|
1stcclb |
|
12 |
9 10 11
|
syl2an |
|
13 |
|
simplll |
|
14 |
|
elpwi |
|
15 |
14
|
ad2antrl |
|
16 |
|
ssrest |
|
17 |
13 15 16
|
syl2anc |
|
18 |
|
ovex |
|
19 |
18
|
elpw2 |
|
20 |
17 19
|
sylibr |
|
21 |
|
vex |
|
22 |
|
simpllr |
|
23 |
|
restval |
|
24 |
21 22 23
|
sylancr |
|
25 |
|
simprrl |
|
26 |
|
1stcrestlem |
|
27 |
25 26
|
syl |
|
28 |
24 27
|
eqbrtrd |
|
29 |
1
|
ad3antrrr |
|
30 |
|
elrest |
|
31 |
29 22 30
|
syl2anc |
|
32 |
|
r19.29 |
|
33 |
|
simprr |
|
34 |
33
|
a1d |
|
35 |
34
|
ancld |
|
36 |
|
elin |
|
37 |
35 36
|
syl6ibr |
|
38 |
|
ssrin |
|
39 |
37 38
|
anim12d1 |
|
40 |
39
|
reximdv |
|
41 |
|
vex |
|
42 |
41
|
inex1 |
|
43 |
42
|
a1i |
|
44 |
|
simp-4r |
|
45 |
|
elrest |
|
46 |
21 44 45
|
sylancr |
|
47 |
|
eleq2 |
|
48 |
|
sseq1 |
|
49 |
47 48
|
anbi12d |
|
50 |
49
|
adantl |
|
51 |
43 46 50
|
rexxfr2d |
|
52 |
40 51
|
sylibrd |
|
53 |
52
|
expr |
|
54 |
53
|
com23 |
|
55 |
54
|
imim2d |
|
56 |
55
|
imp4b |
|
57 |
|
eleq2 |
|
58 |
|
elin |
|
59 |
57 58
|
bitrdi |
|
60 |
|
sseq2 |
|
61 |
60
|
anbi2d |
|
62 |
61
|
rexbidv |
|
63 |
59 62
|
imbi12d |
|
64 |
56 63
|
syl5ibrcom |
|
65 |
64
|
expimpd |
|
66 |
65
|
rexlimdva |
|
67 |
32 66
|
syl5 |
|
68 |
67
|
expd |
|
69 |
68
|
impr |
|
70 |
69
|
adantrrl |
|
71 |
31 70
|
sylbid |
|
72 |
71
|
ralrimiv |
|
73 |
|
breq1 |
|
74 |
|
rexeq |
|
75 |
74
|
imbi2d |
|
76 |
75
|
ralbidv |
|
77 |
73 76
|
anbi12d |
|
78 |
77
|
rspcev |
|
79 |
20 28 72 78
|
syl12anc |
|
80 |
12 79
|
rexlimddv |
|
81 |
8 80
|
syldan |
|
82 |
81
|
ralrimiva |
|
83 |
|
eqid |
|
84 |
83
|
is1stc2 |
|
85 |
3 82 84
|
sylanbrc |
|