Step |
Hyp |
Ref |
Expression |
1 |
|
cyclprop |
|
2 |
|
fveq2 |
|
3 |
2
|
eqeq2d |
|
4 |
3
|
anbi2d |
|
5 |
4
|
biimpd |
|
6 |
1 5
|
mpan9 |
|
7 |
|
pthiswlk |
|
8 |
7
|
anim1i |
|
9 |
6 8
|
syl |
|
10 |
9
|
anim1i |
|
11 |
10
|
anabss3 |
|
12 |
|
df-3an |
|
13 |
11 12
|
sylibr |
|
14 |
|
3ancomb |
|
15 |
13 14
|
sylib |
|
16 |
|
wlkl1loop |
|
17 |
16
|
expl |
|
18 |
|
eqid |
|
19 |
18
|
uhgrfun |
|
20 |
17 19
|
syl11 |
|
21 |
20
|
3impb |
|
22 |
15 21
|
syl |
|
23 |
22
|
3adant3 |
|
24 |
|
sneq |
|
25 |
24
|
eleq1d |
|
26 |
25
|
3ad2ant3 |
|
27 |
23 26
|
sylibd |
|
28 |
27
|
exlimivv |
|
29 |
28
|
com12 |
|
30 |
|
edgval |
|
31 |
30
|
eleq2i |
|
32 |
|
elrnrexdm |
|
33 |
|
eqcom |
|
34 |
33
|
rexbii |
|
35 |
32 34
|
syl6ib |
|
36 |
31 35
|
syl5bi |
|
37 |
19 36
|
syl |
|
38 |
|
df-rex |
|
39 |
37 38
|
syl6ib |
|
40 |
18
|
lp1cycl |
|
41 |
40
|
3expib |
|
42 |
41
|
eximdv |
|
43 |
39 42
|
syld |
|
44 |
|
s1len |
|
45 |
44
|
ax-gen |
|
46 |
|
19.29r |
|
47 |
45 46
|
mpan2 |
|
48 |
43 47
|
syl6 |
|
49 |
48
|
imp |
|
50 |
|
uhgredgn0 |
|
51 |
|
eldifsni |
|
52 |
50 51
|
syl |
|
53 |
|
snnzb |
|
54 |
52 53
|
sylibr |
|
55 |
|
s2fv0 |
|
56 |
54 55
|
syl |
|
57 |
56
|
alrimiv |
|
58 |
|
19.29r |
|
59 |
49 57 58
|
syl2anc |
|
60 |
|
df-3an |
|
61 |
60
|
exbii |
|
62 |
59 61
|
sylibr |
|
63 |
|
s1cli |
|
64 |
|
breq1 |
|
65 |
|
fveqeq2 |
|
66 |
64 65
|
3anbi12d |
|
67 |
66
|
rspcev |
|
68 |
63 67
|
mpan |
|
69 |
|
rexex |
|
70 |
68 69
|
syl |
|
71 |
70
|
exlimiv |
|
72 |
62 71
|
syl |
|
73 |
|
s2cli |
|
74 |
|
breq2 |
|
75 |
|
fveq1 |
|
76 |
75
|
eqeq1d |
|
77 |
74 76
|
3anbi13d |
|
78 |
77
|
rspcev |
|
79 |
73 78
|
mpan |
|
80 |
|
rexex |
|
81 |
79 80
|
syl |
|
82 |
81
|
eximi |
|
83 |
72 82
|
syl |
|
84 |
83
|
ex |
|
85 |
29 84
|
impbid |
|