Step |
Hyp |
Ref |
Expression |
1 |
|
wlkres.v |
|
2 |
|
wlkres.i |
|
3 |
|
wlkres.d |
|
4 |
|
wlkres.n |
|
5 |
|
wlkres.s |
|
6 |
|
wlkres.e |
|
7 |
|
wlkres.h |
|
8 |
|
wlkres.q |
|
9 |
2
|
wlkf |
|
10 |
|
pfxwrdsymb |
|
11 |
3 9 10
|
3syl |
|
12 |
7
|
a1i |
|
13 |
6
|
dmeqd |
|
14 |
3 9
|
syl |
|
15 |
|
wrdf |
|
16 |
|
fimass |
|
17 |
14 15 16
|
3syl |
|
18 |
|
ssdmres |
|
19 |
17 18
|
sylib |
|
20 |
13 19
|
eqtrd |
|
21 |
|
wrdeq |
|
22 |
20 21
|
syl |
|
23 |
11 12 22
|
3eltr4d |
|
24 |
1
|
wlkp |
|
25 |
3 24
|
syl |
|
26 |
5
|
feq3d |
|
27 |
25 26
|
mpbird |
|
28 |
|
fzossfz |
|
29 |
28 4
|
sselid |
|
30 |
|
elfzuz3 |
|
31 |
|
fzss2 |
|
32 |
29 30 31
|
3syl |
|
33 |
27 32
|
fssresd |
|
34 |
7
|
fveq2i |
|
35 |
|
pfxlen |
|
36 |
14 29 35
|
syl2anc |
|
37 |
34 36
|
syl5eq |
|
38 |
37
|
oveq2d |
|
39 |
38
|
feq2d |
|
40 |
33 39
|
mpbird |
|
41 |
8
|
feq1i |
|
42 |
40 41
|
sylibr |
|
43 |
1 2
|
wlkprop |
|
44 |
3 43
|
syl |
|
45 |
44
|
adantr |
|
46 |
37
|
oveq2d |
|
47 |
46
|
eleq2d |
|
48 |
8
|
fveq1i |
|
49 |
|
fzossfz |
|
50 |
49
|
a1i |
|
51 |
50
|
sselda |
|
52 |
51
|
fvresd |
|
53 |
48 52
|
eqtr2id |
|
54 |
8
|
fveq1i |
|
55 |
|
fzofzp1 |
|
56 |
55
|
adantl |
|
57 |
56
|
fvresd |
|
58 |
54 57
|
eqtr2id |
|
59 |
53 58
|
jca |
|
60 |
59
|
ex |
|
61 |
47 60
|
sylbid |
|
62 |
61
|
imp |
|
63 |
14
|
ancli |
|
64 |
15
|
ffund |
|
65 |
64
|
adantl |
|
66 |
65
|
adantr |
|
67 |
|
fdm |
|
68 |
|
elfzouz2 |
|
69 |
|
fzoss2 |
|
70 |
4 68 69
|
3syl |
|
71 |
|
sseq2 |
|
72 |
70 71
|
syl5ibr |
|
73 |
15 67 72
|
3syl |
|
74 |
73
|
impcom |
|
75 |
74
|
adantr |
|
76 |
|
simpr |
|
77 |
66 75 76
|
resfvresima |
|
78 |
63 77
|
sylan |
|
79 |
78
|
eqcomd |
|
80 |
79
|
ex |
|
81 |
47 80
|
sylbid |
|
82 |
81
|
imp |
|
83 |
6
|
adantr |
|
84 |
7
|
fveq1i |
|
85 |
14
|
adantr |
|
86 |
29
|
adantr |
|
87 |
|
pfxres |
|
88 |
85 86 87
|
syl2anc |
|
89 |
88
|
fveq1d |
|
90 |
84 89
|
syl5eq |
|
91 |
83 90
|
fveq12d |
|
92 |
82 91
|
eqtr4d |
|
93 |
62 92
|
jca |
|
94 |
4 68
|
syl |
|
95 |
37
|
fveq2d |
|
96 |
94 95
|
eleqtrrd |
|
97 |
|
fzoss2 |
|
98 |
96 97
|
syl |
|
99 |
98
|
sselda |
|
100 |
|
wkslem1 |
|
101 |
100
|
rspcv |
|
102 |
99 101
|
syl |
|
103 |
|
eqeq12 |
|
104 |
103
|
adantr |
|
105 |
|
simpr |
|
106 |
|
sneq |
|
107 |
106
|
adantr |
|
108 |
107
|
adantr |
|
109 |
105 108
|
eqeq12d |
|
110 |
|
preq12 |
|
111 |
110
|
adantr |
|
112 |
111 105
|
sseq12d |
|
113 |
104 109 112
|
ifpbi123d |
|
114 |
113
|
biimpd |
|
115 |
93 102 114
|
sylsyld |
|
116 |
115
|
com12 |
|
117 |
116
|
3ad2ant3 |
|
118 |
45 117
|
mpcom |
|
119 |
118
|
ralrimiva |
|
120 |
1 2 3 4 5
|
wlkreslem |
|
121 |
|
eqid |
|
122 |
|
eqid |
|
123 |
121 122
|
iswlkg |
|
124 |
120 123
|
syl |
|
125 |
23 42 119 124
|
mpbir3and |
|