Step |
Hyp |
Ref |
Expression |
1 |
|
3wlkd.p |
|
2 |
|
3wlkd.f |
|
3 |
|
3wlkd.s |
|
4 |
|
3wlkd.n |
|
5 |
1 2 3
|
3wlkdlem3 |
|
6 |
|
simpr1l |
|
7 |
|
simpl |
|
8 |
7
|
adantr |
|
9 |
|
simpr |
|
10 |
9
|
adantr |
|
11 |
8 10
|
neeq12d |
|
12 |
11
|
adantr |
|
13 |
6 12
|
mpbird |
|
14 |
13
|
a1d |
|
15 |
|
simpr1r |
|
16 |
|
simpl |
|
17 |
16
|
adantl |
|
18 |
8 17
|
neeq12d |
|
19 |
18
|
adantr |
|
20 |
15 19
|
mpbird |
|
21 |
20
|
a1d |
|
22 |
14 21
|
jca |
|
23 |
|
eqid |
|
24 |
23
|
2a1i |
|
25 |
24
|
necon3d |
|
26 |
|
simpr2l |
|
27 |
10 17
|
neeq12d |
|
28 |
27
|
adantr |
|
29 |
26 28
|
mpbird |
|
30 |
29
|
a1d |
|
31 |
25 30
|
jca |
|
32 |
29
|
necomd |
|
33 |
32
|
a1d |
|
34 |
|
eqid |
|
35 |
34
|
2a1i |
|
36 |
35
|
necon3d |
|
37 |
|
simpr2r |
|
38 |
|
simpr |
|
39 |
38
|
adantl |
|
40 |
10 39
|
neeq12d |
|
41 |
40
|
adantr |
|
42 |
37 41
|
mpbird |
|
43 |
42
|
necomd |
|
44 |
43
|
a1d |
|
45 |
|
simp3 |
|
46 |
45
|
necomd |
|
47 |
46
|
adantl |
|
48 |
|
simpl |
|
49 |
|
simpr |
|
50 |
48 49
|
neeq12d |
|
51 |
50
|
ancoms |
|
52 |
51
|
adantl |
|
53 |
52
|
adantr |
|
54 |
47 53
|
mpbird |
|
55 |
54
|
a1d |
|
56 |
44 55
|
jca |
|
57 |
33 36 56
|
jca31 |
|
58 |
22 31 57
|
jca31 |
|
59 |
5 4 58
|
syl2anc |
|
60 |
1
|
fveq2i |
|
61 |
|
s4len |
|
62 |
60 61
|
eqtri |
|
63 |
62
|
oveq2i |
|
64 |
|
fzo0to42pr |
|
65 |
63 64
|
eqtri |
|
66 |
65
|
raleqi |
|
67 |
|
ralunb |
|
68 |
|
c0ex |
|
69 |
|
1ex |
|
70 |
|
neeq1 |
|
71 |
|
fveq2 |
|
72 |
71
|
neeq1d |
|
73 |
70 72
|
imbi12d |
|
74 |
|
neeq1 |
|
75 |
71
|
neeq1d |
|
76 |
74 75
|
imbi12d |
|
77 |
73 76
|
anbi12d |
|
78 |
|
neeq1 |
|
79 |
|
fveq2 |
|
80 |
79
|
neeq1d |
|
81 |
78 80
|
imbi12d |
|
82 |
|
neeq1 |
|
83 |
79
|
neeq1d |
|
84 |
82 83
|
imbi12d |
|
85 |
81 84
|
anbi12d |
|
86 |
68 69 77 85
|
ralpr |
|
87 |
|
2ex |
|
88 |
|
3ex |
|
89 |
|
neeq1 |
|
90 |
|
fveq2 |
|
91 |
90
|
neeq1d |
|
92 |
89 91
|
imbi12d |
|
93 |
|
neeq1 |
|
94 |
90
|
neeq1d |
|
95 |
93 94
|
imbi12d |
|
96 |
92 95
|
anbi12d |
|
97 |
|
neeq1 |
|
98 |
|
fveq2 |
|
99 |
98
|
neeq1d |
|
100 |
97 99
|
imbi12d |
|
101 |
|
neeq1 |
|
102 |
98
|
neeq1d |
|
103 |
101 102
|
imbi12d |
|
104 |
100 103
|
anbi12d |
|
105 |
87 88 96 104
|
ralpr |
|
106 |
86 105
|
anbi12i |
|
107 |
66 67 106
|
3bitri |
|
108 |
59 107
|
sylibr |
|
109 |
2
|
fveq2i |
|
110 |
|
s3len |
|
111 |
109 110
|
eqtri |
|
112 |
111
|
oveq2i |
|
113 |
|
fzo13pr |
|
114 |
112 113
|
eqtri |
|
115 |
114
|
raleqi |
|
116 |
|
neeq2 |
|
117 |
|
fveq2 |
|
118 |
117
|
neeq2d |
|
119 |
116 118
|
imbi12d |
|
120 |
|
neeq2 |
|
121 |
|
fveq2 |
|
122 |
121
|
neeq2d |
|
123 |
120 122
|
imbi12d |
|
124 |
69 87 119 123
|
ralpr |
|
125 |
115 124
|
bitri |
|
126 |
125
|
ralbii |
|
127 |
108 126
|
sylibr |
|