Step |
Hyp |
Ref |
Expression |
1 |
|
wrdt2ind.1 |
|
2 |
|
wrdt2ind.2 |
|
3 |
|
wrdt2ind.3 |
|
4 |
|
wrdt2ind.4 |
|
5 |
|
wrdt2ind.5 |
|
6 |
|
wrdt2ind.6 |
|
7 |
|
oveq2 |
|
8 |
7
|
eqeq1d |
|
9 |
8
|
imbi1d |
|
10 |
9
|
ralbidv |
|
11 |
|
oveq2 |
|
12 |
11
|
eqeq1d |
|
13 |
12
|
imbi1d |
|
14 |
13
|
ralbidv |
|
15 |
|
oveq2 |
|
16 |
15
|
eqeq1d |
|
17 |
16
|
imbi1d |
|
18 |
17
|
ralbidv |
|
19 |
|
oveq2 |
|
20 |
19
|
eqeq1d |
|
21 |
20
|
imbi1d |
|
22 |
21
|
ralbidv |
|
23 |
|
2t0e0 |
|
24 |
23
|
eqeq1i |
|
25 |
|
eqcom |
|
26 |
24 25
|
bitri |
|
27 |
|
hasheq0 |
|
28 |
26 27
|
syl5bb |
|
29 |
5 1
|
mpbiri |
|
30 |
28 29
|
syl6bi |
|
31 |
30
|
rgen |
|
32 |
|
fveq2 |
|
33 |
32
|
eqeq2d |
|
34 |
33 2
|
imbi12d |
|
35 |
34
|
cbvralvw |
|
36 |
|
simprl |
|
37 |
|
0zd |
|
38 |
|
lencl |
|
39 |
36 38
|
syl |
|
40 |
39
|
nn0zd |
|
41 |
|
2z |
|
42 |
41
|
a1i |
|
43 |
40 42
|
zsubcld |
|
44 |
|
2re |
|
45 |
44
|
a1i |
|
46 |
|
nn0re |
|
47 |
|
0le2 |
|
48 |
47
|
a1i |
|
49 |
|
nn0ge0 |
|
50 |
45 46 48 49
|
mulge0d |
|
51 |
50
|
adantr |
|
52 |
|
2cnd |
|
53 |
|
simpl |
|
54 |
53
|
nn0cnd |
|
55 |
|
1cnd |
|
56 |
52 54 55
|
adddid |
|
57 |
|
simprr |
|
58 |
|
2t1e2 |
|
59 |
58
|
a1i |
|
60 |
59
|
oveq2d |
|
61 |
56 57 60
|
3eqtr3d |
|
62 |
61
|
oveq1d |
|
63 |
52 54
|
mulcld |
|
64 |
63 52
|
pncand |
|
65 |
62 64
|
eqtrd |
|
66 |
51 65
|
breqtrrd |
|
67 |
43
|
zred |
|
68 |
39
|
nn0red |
|
69 |
|
2pos |
|
70 |
44
|
a1i |
|
71 |
70 68
|
ltsubposd |
|
72 |
69 71
|
mpbii |
|
73 |
67 68 72
|
ltled |
|
74 |
|
elfz2 |
|
75 |
74
|
biimpri |
|
76 |
37 40 43 66 73 75
|
syl32anc |
|
77 |
|
pfxlen |
|
78 |
36 76 77
|
syl2anc |
|
79 |
78 65
|
eqtr2d |
|
80 |
79
|
adantlr |
|
81 |
|
fveq2 |
|
82 |
81
|
eqeq2d |
|
83 |
|
vex |
|
84 |
83 2
|
sbcie |
|
85 |
|
dfsbcq |
|
86 |
84 85
|
bitr3id |
|
87 |
82 86
|
imbi12d |
|
88 |
|
simplr |
|
89 |
|
pfxcl |
|
90 |
89
|
ad2antrl |
|
91 |
87 88 90
|
rspcdva |
|
92 |
80 91
|
mpd |
|
93 |
|
2nn0 |
|
94 |
93
|
a1i |
|
95 |
52
|
addid2d |
|
96 |
|
0red |
|
97 |
65 67
|
eqeltrrd |
|
98 |
96 97 70 51
|
leadd1dd |
|
99 |
95 98
|
eqbrtrrd |
|
100 |
99 61
|
breqtrrd |
|
101 |
|
nn0sub |
|
102 |
101
|
biimpa |
|
103 |
94 39 100 102
|
syl21anc |
|
104 |
68
|
recnd |
|
105 |
104 52 55
|
subsubd |
|
106 |
|
2m1e1 |
|
107 |
106
|
a1i |
|
108 |
107
|
oveq2d |
|
109 |
105 108
|
eqtr3d |
|
110 |
68
|
lem1d |
|
111 |
109 110
|
eqbrtrd |
|
112 |
|
nn0p1elfzo |
|
113 |
103 39 111 112
|
syl3anc |
|
114 |
|
wrdsymbcl |
|
115 |
36 113 114
|
syl2anc |
|
116 |
115
|
adantlr |
|
117 |
|
nn0ge2m1nn0 |
|
118 |
39 100 117
|
syl2anc |
|
119 |
104 55
|
npcand |
|
120 |
68
|
leidd |
|
121 |
119 120
|
eqbrtrd |
|
122 |
|
nn0p1elfzo |
|
123 |
118 39 121 122
|
syl3anc |
|
124 |
|
wrdsymbcl |
|
125 |
36 123 124
|
syl2anc |
|
126 |
125
|
adantlr |
|
127 |
|
oveq1 |
|
128 |
127
|
sbceq1d |
|
129 |
85 128
|
imbi12d |
|
130 |
|
id |
|
131 |
|
eqidd |
|
132 |
130 131
|
s2eqd |
|
133 |
132
|
oveq2d |
|
134 |
133
|
sbceq1d |
|
135 |
134
|
imbi2d |
|
136 |
|
eqidd |
|
137 |
|
id |
|
138 |
136 137
|
s2eqd |
|
139 |
138
|
oveq2d |
|
140 |
139
|
sbceq1d |
|
141 |
140
|
imbi2d |
|
142 |
|
ovex |
|
143 |
142 3
|
sbcie |
|
144 |
6 84 143
|
3imtr4g |
|
145 |
129 135 141 144
|
vtocl3ga |
|
146 |
90 116 126 145
|
syl3anc |
|
147 |
92 146
|
mpd |
|
148 |
|
simprl |
|
149 |
|
1red |
|
150 |
|
simpll |
|
151 |
150
|
nn0red |
|
152 |
151 149
|
readdcld |
|
153 |
44
|
a1i |
|
154 |
47
|
a1i |
|
155 |
|
0p1e1 |
|
156 |
|
0red |
|
157 |
150
|
nn0ge0d |
|
158 |
149
|
leidd |
|
159 |
156 149 151 149 157 158
|
le2addd |
|
160 |
155 159
|
eqbrtrrid |
|
161 |
149 152 153 154 160
|
lemul2ad |
|
162 |
58 161
|
eqbrtrrid |
|
163 |
|
simprr |
|
164 |
162 163
|
breqtrd |
|
165 |
|
eqid |
|
166 |
165
|
pfxlsw2ccat |
|
167 |
166
|
eqcomd |
|
168 |
167
|
eqcomd |
|
169 |
148 164 168
|
syl2anc |
|
170 |
|
sbceq1a |
|
171 |
169 170
|
syl |
|
172 |
147 171
|
mpbird |
|
173 |
172
|
expr |
|
174 |
173
|
ralrimiva |
|
175 |
174
|
ex |
|
176 |
35 175
|
syl5bi |
|
177 |
10 14 18 22 31 176
|
nn0ind |
|
178 |
177
|
adantl |
|
179 |
|
simpl |
|
180 |
|
fveq2 |
|
181 |
180
|
eqeq2d |
|
182 |
181 4
|
imbi12d |
|
183 |
182
|
adantl |
|
184 |
179 183
|
rspcdv |
|
185 |
178 184
|
mpd |
|
186 |
185
|
imp |
|
187 |
186
|
adantllr |
|
188 |
|
lencl |
|
189 |
|
evennn02n |
|
190 |
189
|
biimpa |
|
191 |
188 190
|
sylan |
|
192 |
187 191
|
r19.29a |
|