Step |
Hyp |
Ref |
Expression |
1 |
|
wrdfin |
|
2 |
|
wrdf |
|
3 |
|
simpr |
|
4 |
3
|
adantr |
|
5 |
|
2fveq3 |
|
6 |
|
fveq2 |
|
7 |
|
fvoveq1 |
|
8 |
6 7
|
preq12d |
|
9 |
5 8
|
eqeq12d |
|
10 |
9
|
rspcv |
|
11 |
|
2fveq3 |
|
12 |
|
fveq2 |
|
13 |
|
fvoveq1 |
|
14 |
12 13
|
preq12d |
|
15 |
11 14
|
eqeq12d |
|
16 |
15
|
rspcv |
|
17 |
10 16
|
anim12ii |
|
18 |
|
fveq2 |
|
19 |
|
simpl |
|
20 |
19
|
eqcomd |
|
21 |
20
|
adantl |
|
22 |
|
simpl |
|
23 |
|
simpr |
|
24 |
23
|
adantl |
|
25 |
21 22 24
|
3eqtrd |
|
26 |
|
fvex |
|
27 |
|
fvex |
|
28 |
|
fvex |
|
29 |
|
fvex |
|
30 |
26 27 28 29
|
preq12b |
|
31 |
|
dff13 |
|
32 |
|
elfzofz |
|
33 |
|
elfzofz |
|
34 |
|
fveqeq2 |
|
35 |
|
eqeq1 |
|
36 |
34 35
|
imbi12d |
|
37 |
|
fveq2 |
|
38 |
37
|
eqeq2d |
|
39 |
|
eqeq2 |
|
40 |
38 39
|
imbi12d |
|
41 |
36 40
|
rspc2v |
|
42 |
32 33 41
|
syl2an |
|
43 |
42
|
a1dd |
|
44 |
43
|
com14 |
|
45 |
44
|
adantr |
|
46 |
|
hashcl |
|
47 |
32
|
a1i |
|
48 |
|
fzofzp1 |
|
49 |
47 48
|
anim12d1 |
|
50 |
49
|
imp |
|
51 |
|
fveq2 |
|
52 |
51
|
eqeq2d |
|
53 |
|
eqeq2 |
|
54 |
52 53
|
imbi12d |
|
55 |
36 54
|
rspc2v |
|
56 |
50 55
|
syl |
|
57 |
56
|
imp |
|
58 |
|
fzofzp1 |
|
59 |
58
|
a1i |
|
60 |
59 33
|
anim12d1 |
|
61 |
60
|
imp |
|
62 |
|
fveqeq2 |
|
63 |
|
eqeq1 |
|
64 |
62 63
|
imbi12d |
|
65 |
37
|
eqeq2d |
|
66 |
|
eqeq2 |
|
67 |
65 66
|
imbi12d |
|
68 |
64 67
|
rspc2v |
|
69 |
61 68
|
syl |
|
70 |
69
|
imp |
|
71 |
57 70
|
anim12d |
|
72 |
71
|
expimpd |
|
73 |
|
oveq1 |
|
74 |
73
|
eqeq1d |
|
75 |
74
|
adantl |
|
76 |
|
elfzonn0 |
|
77 |
|
nn0cn |
|
78 |
|
add1p1 |
|
79 |
77 78
|
syl |
|
80 |
79
|
eqeq1d |
|
81 |
|
2cnd |
|
82 |
|
2ne0 |
|
83 |
82
|
a1i |
|
84 |
|
addn0nid |
|
85 |
77 81 83 84
|
syl3anc |
|
86 |
|
eqneqall |
|
87 |
85 86
|
syl5com |
|
88 |
80 87
|
sylbid |
|
89 |
76 88
|
syl |
|
90 |
89
|
adantl |
|
91 |
90
|
adantr |
|
92 |
75 91
|
sylbid |
|
93 |
92
|
expimpd |
|
94 |
93
|
adantl |
|
95 |
72 94
|
syld |
|
96 |
95
|
ex |
|
97 |
46 96
|
syl |
|
98 |
97
|
com3l |
|
99 |
98
|
expd |
|
100 |
99
|
com34 |
|
101 |
100
|
com14 |
|
102 |
45 101
|
jaoi |
|
103 |
102
|
adantld |
|
104 |
31 103
|
syl5bi |
|
105 |
104
|
com23 |
|
106 |
30 105
|
sylbi |
|
107 |
25 106
|
syl |
|
108 |
107
|
ex |
|
109 |
18 108
|
syl |
|
110 |
109
|
com15 |
|
111 |
17 110
|
syld |
|
112 |
111
|
com14 |
|
113 |
112
|
imp |
|
114 |
113
|
impcom |
|
115 |
114
|
ralrimivv |
|
116 |
115
|
adantlr |
|
117 |
|
dff13 |
|
118 |
4 116 117
|
sylanbrc |
|
119 |
|
df-f1 |
|
120 |
118 119
|
sylib |
|
121 |
|
simpr |
|
122 |
120 121
|
syl |
|
123 |
122
|
ex |
|
124 |
123
|
expd |
|
125 |
1 2 124
|
syl2anc |
|
126 |
125
|
impcom |
|