Step |
Hyp |
Ref |
Expression |
1 |
|
line2.i |
|
2 |
|
line2.e |
|
3 |
|
line2.p |
|
4 |
|
line2.l |
|
5 |
|
line2.g |
|
6 |
|
line2x.x |
|
7 |
|
line2x.y |
|
8 |
5
|
a1i |
|
9 |
|
1ex |
|
10 |
|
2ex |
|
11 |
9 10
|
pm3.2i |
|
12 |
|
c0ex |
|
13 |
12
|
jctl |
|
14 |
|
1ne2 |
|
15 |
14
|
a1i |
|
16 |
|
fprg |
|
17 |
|
0red |
|
18 |
|
simpr |
|
19 |
17 18
|
anim12i |
|
20 |
19
|
3adant3 |
|
21 |
|
prssi |
|
22 |
20 21
|
syl |
|
23 |
16 22
|
fssd |
|
24 |
11 13 15 23
|
mp3an2i |
|
25 |
1
|
feq2i |
|
26 |
24 25
|
sylibr |
|
27 |
|
reex |
|
28 |
|
prex |
|
29 |
1 28
|
eqeltri |
|
30 |
27 29
|
elmap |
|
31 |
26 30
|
sylibr |
|
32 |
31 6 3
|
3eltr4g |
|
33 |
9
|
jctl |
|
34 |
|
fprg |
|
35 |
11 33 15 34
|
mp3an2i |
|
36 |
|
1re |
|
37 |
|
prssi |
|
38 |
36 37
|
mpan |
|
39 |
35 38
|
fssd |
|
40 |
1
|
feq2i |
|
41 |
39 40
|
sylibr |
|
42 |
27 29
|
pm3.2i |
|
43 |
|
elmapg |
|
44 |
42 43
|
mp1i |
|
45 |
41 44
|
mpbird |
|
46 |
45 7 3
|
3eltr4g |
|
47 |
|
opex |
|
48 |
|
opex |
|
49 |
47 48
|
pm3.2i |
|
50 |
|
opex |
|
51 |
50 48
|
pm3.2i |
|
52 |
49 51
|
pm3.2i |
|
53 |
14
|
orci |
|
54 |
9 12
|
opthne |
|
55 |
53 54
|
mpbir |
|
56 |
55
|
a1i |
|
57 |
|
0ne1 |
|
58 |
57
|
olci |
|
59 |
9 12
|
opthne |
|
60 |
58 59
|
mpbir |
|
61 |
56 60
|
jctil |
|
62 |
61
|
orcd |
|
63 |
|
prneimg |
|
64 |
52 62 63
|
mpsyl |
|
65 |
64 6 7
|
3netr4g |
|
66 |
32 46 65
|
3jca |
|
67 |
66
|
adantl |
|
68 |
|
eqid |
|
69 |
|
eqid |
|
70 |
|
eqid |
|
71 |
1 2 3 4 68 69 70
|
rrx2linest |
|
72 |
67 71
|
syl |
|
73 |
8 72
|
eqeq12d |
|
74 |
|
rabbi |
|
75 |
7
|
fveq1i |
|
76 |
9 9 14
|
3pm3.2i |
|
77 |
|
fvpr1g |
|
78 |
76 77
|
mp1i |
|
79 |
75 78
|
syl5eq |
|
80 |
6
|
fveq1i |
|
81 |
9 12 14
|
3pm3.2i |
|
82 |
|
fvpr1g |
|
83 |
81 82
|
mp1i |
|
84 |
80 83
|
syl5eq |
|
85 |
79 84
|
oveq12d |
|
86 |
|
1m0e1 |
|
87 |
85 86
|
eqtrdi |
|
88 |
87
|
oveq1d |
|
89 |
7
|
fveq1i |
|
90 |
|
fvpr2g |
|
91 |
10 14 90
|
mp3an13 |
|
92 |
89 91
|
syl5eq |
|
93 |
6
|
fveq1i |
|
94 |
|
fvpr2g |
|
95 |
10 14 94
|
mp3an13 |
|
96 |
93 95
|
syl5eq |
|
97 |
92 96
|
oveq12d |
|
98 |
|
recn |
|
99 |
98
|
subidd |
|
100 |
97 99
|
eqtrd |
|
101 |
100
|
oveq1d |
|
102 |
9 9 15 77
|
mp3an12i |
|
103 |
75 102
|
syl5eq |
|
104 |
96 103
|
oveq12d |
|
105 |
|
ax-1rid |
|
106 |
104 105
|
eqtrd |
|
107 |
9 12 15 82
|
mp3an12i |
|
108 |
80 107
|
syl5eq |
|
109 |
108 92
|
oveq12d |
|
110 |
98
|
mul02d |
|
111 |
109 110
|
eqtrd |
|
112 |
106 111
|
oveq12d |
|
113 |
98
|
subid1d |
|
114 |
112 113
|
eqtrd |
|
115 |
101 114
|
oveq12d |
|
116 |
88 115
|
eqeq12d |
|
117 |
116
|
adantl |
|
118 |
1 3
|
rrx2pyel |
|
119 |
118
|
recnd |
|
120 |
119
|
mulid2d |
|
121 |
1 3
|
rrx2pxel |
|
122 |
121
|
recnd |
|
123 |
122
|
mul02d |
|
124 |
123
|
oveq1d |
|
125 |
120 124
|
eqeq12d |
|
126 |
117 125
|
sylan9bb |
|
127 |
126
|
bibi2d |
|
128 |
127
|
ralbidva |
|
129 |
98
|
addid2d |
|
130 |
129
|
adantr |
|
131 |
130
|
eqeq2d |
|
132 |
131
|
bibi2d |
|
133 |
132
|
ralbidva |
|
134 |
133
|
adantl |
|
135 |
1 2 3 4 5 6 7
|
line2xlem |
|
136 |
|
oveq1 |
|
137 |
136
|
adantr |
|
138 |
137
|
ad2antlr |
|
139 |
123
|
adantl |
|
140 |
138 139
|
eqtrd |
|
141 |
140
|
oveq1d |
|
142 |
|
recn |
|
143 |
142
|
adantr |
|
144 |
143
|
3ad2ant2 |
|
145 |
144
|
ad3antrrr |
|
146 |
119
|
adantl |
|
147 |
145 146
|
mulcld |
|
148 |
147
|
addid2d |
|
149 |
141 148
|
eqtrd |
|
150 |
149
|
eqeq1d |
|
151 |
|
simp3 |
|
152 |
151
|
recnd |
|
153 |
152
|
ad3antrrr |
|
154 |
|
simpl |
|
155 |
154
|
recnd |
|
156 |
155
|
3ad2ant2 |
|
157 |
156
|
ad3antrrr |
|
158 |
|
simp2r |
|
159 |
158
|
ad3antrrr |
|
160 |
153 157 146 159
|
divmuld |
|
161 |
|
simpr |
|
162 |
161
|
eqcomd |
|
163 |
162
|
ad2antlr |
|
164 |
163
|
eqeq1d |
|
165 |
150 160 164
|
3bitr2d |
|
166 |
|
eqcom |
|
167 |
165 166
|
bitrdi |
|
168 |
167
|
ralrimiva |
|
169 |
168
|
ex |
|
170 |
135 169
|
impbid |
|
171 |
128 134 170
|
3bitrd |
|
172 |
74 171
|
bitr3id |
|
173 |
73 172
|
bitrd |
|