Step |
Hyp |
Ref |
Expression |
1 |
|
3anan32 |
|
2 |
1
|
a1i |
|
3 |
|
wlkeq |
|
4 |
3
|
3expa |
|
5 |
4
|
3adant1 |
|
6 |
|
fzofzp1 |
|
7 |
6
|
adantl |
|
8 |
|
fveq2 |
|
9 |
|
fveq2 |
|
10 |
8 9
|
eqeq12d |
|
11 |
10
|
adantl |
|
12 |
7 11
|
rspcdv |
|
13 |
12
|
impancom |
|
14 |
13
|
ralrimiv |
|
15 |
|
fvoveq1 |
|
16 |
|
fvoveq1 |
|
17 |
15 16
|
eqeq12d |
|
18 |
17
|
cbvralvw |
|
19 |
14 18
|
sylibr |
|
20 |
|
fzossfz |
|
21 |
|
ssralv |
|
22 |
20 21
|
mp1i |
|
23 |
|
r19.26 |
|
24 |
|
preq12 |
|
25 |
24
|
a1i |
|
26 |
25
|
ralimdv |
|
27 |
23 26
|
syl5bir |
|
28 |
27
|
expd |
|
29 |
22 28
|
syld |
|
30 |
29
|
imp |
|
31 |
19 30
|
mpd |
|
32 |
31
|
ex |
|
33 |
|
uspgrupgr |
|
34 |
|
eqid |
|
35 |
|
eqid |
|
36 |
|
eqid |
|
37 |
|
eqid |
|
38 |
34 35 36 37
|
upgrwlkcompim |
|
39 |
38
|
ex |
|
40 |
33 39
|
syl |
|
41 |
|
eqid |
|
42 |
|
eqid |
|
43 |
34 35 41 42
|
upgrwlkcompim |
|
44 |
43
|
ex |
|
45 |
33 44
|
syl |
|
46 |
|
oveq2 |
|
47 |
46
|
eqcoms |
|
48 |
47
|
raleqdv |
|
49 |
|
oveq2 |
|
50 |
49
|
eqcoms |
|
51 |
50
|
raleqdv |
|
52 |
48 51
|
bi2anan9r |
|
53 |
|
r19.26 |
|
54 |
|
eqeq2 |
|
55 |
|
eqeq2 |
|
56 |
55
|
eqcoms |
|
57 |
56
|
biimpd |
|
58 |
54 57
|
syl6bi |
|
59 |
58
|
com13 |
|
60 |
59
|
imp |
|
61 |
60
|
ral2imi |
|
62 |
53 61
|
sylbir |
|
63 |
52 62
|
syl6bi |
|
64 |
63
|
com12 |
|
65 |
64
|
ex |
|
66 |
65
|
3ad2ant3 |
|
67 |
66
|
com12 |
|
68 |
67
|
3ad2ant3 |
|
69 |
68
|
imp |
|
70 |
69
|
expd |
|
71 |
70
|
a1i |
|
72 |
40 45 71
|
syl2and |
|
73 |
72
|
3imp1 |
|
74 |
|
eqcom |
|
75 |
35
|
uspgrf1oedg |
|
76 |
|
f1of1 |
|
77 |
75 76
|
syl |
|
78 |
|
eqidd |
|
79 |
|
eqidd |
|
80 |
|
edgval |
|
81 |
80
|
eqcomi |
|
82 |
81
|
a1i |
|
83 |
78 79 82
|
f1eq123d |
|
84 |
77 83
|
mpbird |
|
85 |
84
|
3ad2ant1 |
|
86 |
85
|
adantr |
|
87 |
34 35 36 37
|
wlkelwrd |
|
88 |
34 35 41 42
|
wlkelwrd |
|
89 |
|
oveq2 |
|
90 |
89
|
eleq2d |
|
91 |
|
wrdsymbcl |
|
92 |
91
|
expcom |
|
93 |
90 92
|
syl6bi |
|
94 |
93
|
adantr |
|
95 |
94
|
imp |
|
96 |
95
|
com12 |
|
97 |
96
|
adantl |
|
98 |
|
oveq2 |
|
99 |
98
|
eleq2d |
|
100 |
|
wrdsymbcl |
|
101 |
100
|
expcom |
|
102 |
99 101
|
syl6bi |
|
103 |
102
|
adantl |
|
104 |
103
|
imp |
|
105 |
104
|
com12 |
|
106 |
105
|
adantr |
|
107 |
97 106
|
jcad |
|
108 |
107
|
ex |
|
109 |
108
|
adantr |
|
110 |
109
|
com12 |
|
111 |
110
|
adantr |
|
112 |
111
|
imp |
|
113 |
87 88 112
|
syl2an |
|
114 |
113
|
expd |
|
115 |
114
|
expd |
|
116 |
115
|
imp |
|
117 |
116
|
3adant1 |
|
118 |
117
|
imp |
|
119 |
118
|
imp |
|
120 |
|
f1veqaeq |
|
121 |
86 119 120
|
syl2an2r |
|
122 |
74 121
|
syl5bi |
|
123 |
122
|
ralimdva |
|
124 |
32 73 123
|
3syld |
|
125 |
124
|
expimpd |
|
126 |
125
|
pm4.71d |
|
127 |
2 5 126
|
3bitr4d |
|