Step |
Hyp |
Ref |
Expression |
1 |
|
eqid |
|
2 |
|
omex |
|
3 |
|
snex |
|
4 |
2 3
|
xpex |
|
5 |
|
eqeq1 |
|
6 |
4 5
|
spcev |
|
7 |
1 6
|
mp1i |
|
8 |
3 2
|
pm3.2i |
|
9 |
|
elmapg |
|
10 |
8 9
|
mp1i |
|
11 |
|
fconst2g |
|
12 |
11
|
3ad2ant3 |
|
13 |
10 12
|
bitrd |
|
14 |
13
|
exbidv |
|
15 |
7 14
|
mpbird |
|
16 |
|
neq0 |
|
17 |
15 16
|
sylibr |
|
18 |
|
eqcom |
|
19 |
17 18
|
sylnib |
|
20 |
|
ovex |
|
21 |
3 20
|
pm3.2i |
|
22 |
|
prv |
|
23 |
21 22
|
mp1i |
|
24 |
|
goel |
|
25 |
|
0ex |
|
26 |
25
|
snid |
|
27 |
26
|
a1i |
|
28 |
|
opelxpi |
|
29 |
27 28
|
opelxpd |
|
30 |
24 29
|
eqeltrd |
|
31 |
|
fmla0xp |
|
32 |
30 31
|
eleqtrrdi |
|
33 |
32
|
3adant3 |
|
34 |
|
satefvfmla0 |
|
35 |
3 33 34
|
sylancr |
|
36 |
24
|
fveq2d |
|
37 |
|
opex |
|
38 |
25 37
|
op2nd |
|
39 |
36 38
|
eqtrdi |
|
40 |
39
|
fveq2d |
|
41 |
|
op1stg |
|
42 |
40 41
|
eqtrd |
|
43 |
42
|
fveq2d |
|
44 |
39
|
fveq2d |
|
45 |
|
op2ndg |
|
46 |
44 45
|
eqtrd |
|
47 |
46
|
fveq2d |
|
48 |
43 47
|
eleq12d |
|
49 |
48
|
rabbidv |
|
50 |
49
|
3adant3 |
|
51 |
|
elmapi |
|
52 |
|
elirr |
|
53 |
|
fvconst |
|
54 |
53
|
3ad2antr1 |
|
55 |
|
fvconst |
|
56 |
55
|
3ad2antr2 |
|
57 |
54 56
|
eleq12d |
|
58 |
52 57
|
mtbiri |
|
59 |
58
|
ex |
|
60 |
51 59
|
syl |
|
61 |
60
|
impcom |
|
62 |
61
|
ralrimiva |
|
63 |
|
rabeq0 |
|
64 |
62 63
|
sylibr |
|
65 |
50 64
|
eqtrd |
|
66 |
35 65
|
eqtrd |
|
67 |
66
|
eqeq1d |
|
68 |
23 67
|
bitrd |
|
69 |
19 68
|
mtbird |
|