Step |
Hyp |
Ref |
Expression |
1 |
|
line2.i |
|
2 |
|
line2.e |
|
3 |
|
line2.p |
|
4 |
|
line2.l |
|
5 |
|
line2.g |
|
6 |
|
line2y.x |
|
7 |
|
line2y.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 |
|
simp2r |
|
19 |
17 18
|
prssd |
|
20 |
16 19
|
fssd |
|
21 |
11 13 15 20
|
mp3an2i |
|
22 |
1
|
feq2i |
|
23 |
21 22
|
sylibr |
|
24 |
|
reex |
|
25 |
|
prex |
|
26 |
1 25
|
eqeltri |
|
27 |
24 26
|
elmap |
|
28 |
23 27
|
sylibr |
|
29 |
28 6 3
|
3eltr4g |
|
30 |
29
|
3ad2ant1 |
|
31 |
12
|
jctl |
|
32 |
14
|
a1i |
|
33 |
|
fprg |
|
34 |
11 31 32 33
|
mp3an2i |
|
35 |
|
0re |
|
36 |
|
prssi |
|
37 |
35 36
|
mpan |
|
38 |
34 37
|
fssd |
|
39 |
1
|
feq2i |
|
40 |
38 39
|
sylibr |
|
41 |
24 26
|
pm3.2i |
|
42 |
|
elmapg |
|
43 |
41 42
|
mp1i |
|
44 |
40 43
|
mpbird |
|
45 |
44 7 3
|
3eltr4g |
|
46 |
45
|
3ad2ant2 |
|
47 |
6
|
fveq1i |
|
48 |
9 12 14
|
3pm3.2i |
|
49 |
|
fvpr1g |
|
50 |
48 49
|
mp1i |
|
51 |
47 50
|
syl5eq |
|
52 |
7
|
fveq1i |
|
53 |
|
fvpr1g |
|
54 |
48 53
|
mp1i |
|
55 |
52 54
|
syl5eq |
|
56 |
51 55
|
eqtr4d |
|
57 |
|
simp3 |
|
58 |
6
|
fveq1i |
|
59 |
|
simp1 |
|
60 |
14
|
a1i |
|
61 |
|
fvpr2g |
|
62 |
10 59 60 61
|
mp3an2i |
|
63 |
58 62
|
syl5eq |
|
64 |
7
|
fveq1i |
|
65 |
|
simp2 |
|
66 |
|
fvpr2g |
|
67 |
10 65 60 66
|
mp3an2i |
|
68 |
64 67
|
syl5eq |
|
69 |
57 63 68
|
3netr4d |
|
70 |
56 69
|
jca |
|
71 |
30 46 70
|
3jca |
|
72 |
71
|
adantl |
|
73 |
1 2 3 4
|
rrx2vlinest |
|
74 |
72 73
|
syl |
|
75 |
8 74
|
eqeq12d |
|
76 |
48 49
|
ax-mp |
|
77 |
47 76
|
eqtri |
|
78 |
77
|
a1i |
|
79 |
78
|
eqeq2d |
|
80 |
79
|
rabbidv |
|
81 |
80
|
eqeq2d |
|
82 |
|
rabbi |
|
83 |
1 3
|
line2ylem |
|
84 |
83
|
adantr |
|
85 |
|
oveq1 |
|
86 |
85
|
3ad2ant2 |
|
87 |
86
|
oveq2d |
|
88 |
|
simp3 |
|
89 |
87 88
|
eqeq12d |
|
90 |
89
|
ad2antlr |
|
91 |
1 3
|
rrx2pyel |
|
92 |
91
|
recnd |
|
93 |
92
|
mul02d |
|
94 |
93
|
adantl |
|
95 |
94
|
oveq2d |
|
96 |
|
simp1 |
|
97 |
96
|
recnd |
|
98 |
97
|
ad3antrrr |
|
99 |
1 3
|
rrx2pxel |
|
100 |
99
|
recnd |
|
101 |
100
|
adantl |
|
102 |
98 101
|
mulcld |
|
103 |
102
|
addid1d |
|
104 |
95 103
|
eqtrd |
|
105 |
104
|
eqeq1d |
|
106 |
98 101
|
mul0ord |
|
107 |
|
eqneqall |
|
108 |
107
|
com12 |
|
109 |
108
|
3ad2ant1 |
|
110 |
109
|
ad2antlr |
|
111 |
|
idd |
|
112 |
110 111
|
jaod |
|
113 |
|
olc |
|
114 |
112 113
|
impbid1 |
|
115 |
106 114
|
bitrd |
|
116 |
90 105 115
|
3bitrd |
|
117 |
116
|
ralrimiva |
|
118 |
117
|
ex |
|
119 |
84 118
|
impbid |
|
120 |
82 119
|
bitr3id |
|
121 |
75 81 120
|
3bitrd |
|