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 |
|
ianor |
|
9 |
|
df-ne |
|
10 |
|
df-ne |
|
11 |
9 10
|
orbi12i |
|
12 |
8 11
|
bitr4i |
|
13 |
|
0red |
|
14 |
|
simp3 |
|
15 |
14
|
adantr |
|
16 |
|
simpl |
|
17 |
16
|
3ad2ant2 |
|
18 |
17
|
adantr |
|
19 |
|
simp2r |
|
20 |
19
|
adantr |
|
21 |
15 18 20
|
redivcld |
|
22 |
21
|
adantl |
|
23 |
1 3
|
prelrrx2 |
|
24 |
13 22 23
|
syl2anc |
|
25 |
|
id |
|
26 |
25
|
necomd |
|
27 |
26
|
neneqd |
|
28 |
27
|
a1d |
|
29 |
|
eqidd |
|
30 |
29
|
a1i |
|
31 |
28 30
|
impbid |
|
32 |
|
xor3 |
|
33 |
31 32
|
sylibr |
|
34 |
33
|
adantr |
|
35 |
|
0red |
|
36 |
|
fv1prop |
|
37 |
35 36
|
syl |
|
38 |
37
|
oveq2d |
|
39 |
|
recn |
|
40 |
39
|
mul01d |
|
41 |
40
|
3ad2ant1 |
|
42 |
41
|
adantr |
|
43 |
38 42
|
eqtrd |
|
44 |
|
ovexd |
|
45 |
|
fv2prop |
|
46 |
44 45
|
syl |
|
47 |
46
|
oveq2d |
|
48 |
14
|
recnd |
|
49 |
48
|
adantr |
|
50 |
16
|
recnd |
|
51 |
50
|
3ad2ant2 |
|
52 |
51
|
adantr |
|
53 |
49 52 20
|
divcan2d |
|
54 |
47 53
|
eqtrd |
|
55 |
43 54
|
oveq12d |
|
56 |
55
|
adantl |
|
57 |
48
|
addid2d |
|
58 |
57
|
adantr |
|
59 |
58
|
adantl |
|
60 |
56 59
|
eqtrd |
|
61 |
60
|
eqeq1d |
|
62 |
46
|
eqeq1d |
|
63 |
62
|
adantl |
|
64 |
61 63
|
bibi12d |
|
65 |
34 64
|
mtbird |
|
66 |
|
fveq1 |
|
67 |
66
|
oveq2d |
|
68 |
|
fveq1 |
|
69 |
68
|
oveq2d |
|
70 |
67 69
|
oveq12d |
|
71 |
70
|
eqeq1d |
|
72 |
68
|
eqeq1d |
|
73 |
71 72
|
bibi12d |
|
74 |
73
|
notbid |
|
75 |
74
|
rspcev |
|
76 |
24 65 75
|
syl2anc |
|
77 |
76
|
ex |
|
78 |
|
nne |
|
79 |
|
1red |
|
80 |
14 17 19
|
redivcld |
|
81 |
79 80
|
jca |
|
82 |
81
|
adantr |
|
83 |
1 3
|
prelrrx2 |
|
84 |
82 83
|
syl |
|
85 |
84
|
adantl |
|
86 |
|
eqneqall |
|
87 |
86
|
com12 |
|
88 |
87
|
adantl |
|
89 |
|
pm2.24 |
|
90 |
89
|
eqcoms |
|
91 |
90
|
adantr |
|
92 |
88 91
|
impbid |
|
93 |
|
xor3 |
|
94 |
92 93
|
sylibr |
|
95 |
94
|
adantr |
|
96 |
|
simprl1 |
|
97 |
96
|
recnd |
|
98 |
15
|
adantl |
|
99 |
98
|
recnd |
|
100 |
97 99
|
addcomd |
|
101 |
100
|
eqeq1d |
|
102 |
|
recn |
|
103 |
39 102
|
anim12ci |
|
104 |
103
|
3adant2 |
|
105 |
104
|
adantr |
|
106 |
105
|
adantl |
|
107 |
|
addid0 |
|
108 |
106 107
|
syl |
|
109 |
101 108
|
bitrd |
|
110 |
109
|
bibi1d |
|
111 |
95 110
|
mtbird |
|
112 |
|
1ex |
|
113 |
112
|
a1i |
|
114 |
|
fv1prop |
|
115 |
113 114
|
syl |
|
116 |
115
|
oveq2d |
|
117 |
|
ax-1rid |
|
118 |
117
|
3ad2ant1 |
|
119 |
118
|
adantr |
|
120 |
116 119
|
eqtrd |
|
121 |
|
fv2prop |
|
122 |
44 121
|
syl |
|
123 |
122
|
oveq2d |
|
124 |
15
|
recnd |
|
125 |
124 52 20
|
divcan2d |
|
126 |
123 125
|
eqtrd |
|
127 |
120 126
|
oveq12d |
|
128 |
127
|
eqeq1d |
|
129 |
122
|
eqeq1d |
|
130 |
128 129
|
bibi12d |
|
131 |
130
|
notbid |
|
132 |
131
|
adantl |
|
133 |
111 132
|
mpbird |
|
134 |
|
fveq1 |
|
135 |
134
|
oveq2d |
|
136 |
|
fveq1 |
|
137 |
136
|
oveq2d |
|
138 |
135 137
|
oveq12d |
|
139 |
138
|
eqeq1d |
|
140 |
136
|
eqeq1d |
|
141 |
139 140
|
bibi12d |
|
142 |
141
|
notbid |
|
143 |
142
|
rspcev |
|
144 |
85 133 143
|
syl2anc |
|
145 |
144
|
ex |
|
146 |
78 145
|
sylanb |
|
147 |
77 146
|
jaoi3 |
|
148 |
147
|
orcoms |
|
149 |
148
|
com12 |
|
150 |
|
rexnal |
|
151 |
149 150
|
syl6ib |
|
152 |
12 151
|
syl5bi |
|
153 |
152
|
con4d |
|