Step |
Hyp |
Ref |
Expression |
1 |
|
reeanv |
|
2 |
|
breq2 |
|
3 |
2
|
notbid |
|
4 |
|
reseq1 |
|
5 |
4
|
eqeq2d |
|
6 |
3 5
|
imbi12d |
|
7 |
|
simprl2 |
|
8 |
7
|
adantl |
|
9 |
|
simprlr |
|
10 |
6 8 9
|
rspcdva |
|
11 |
|
breq2 |
|
12 |
11
|
notbid |
|
13 |
|
reseq1 |
|
14 |
13
|
eqeq2d |
|
15 |
12 14
|
imbi12d |
|
16 |
|
simprr2 |
|
17 |
16
|
adantl |
|
18 |
|
simprll |
|
19 |
15 17 18
|
rspcdva |
|
20 |
|
eqcom |
|
21 |
19 20
|
syl6ib |
|
22 |
|
simpl |
|
23 |
22 18
|
sseldd |
|
24 |
22 9
|
sseldd |
|
25 |
|
sltso |
|
26 |
|
soasym |
|
27 |
25 26
|
mpan |
|
28 |
23 24 27
|
syl2anc |
|
29 |
|
imor |
|
30 |
28 29
|
sylib |
|
31 |
10 21 30
|
mpjaod |
|
32 |
31
|
fveq1d |
|
33 |
|
simprl1 |
|
34 |
33
|
adantl |
|
35 |
|
sucidg |
|
36 |
34 35
|
syl |
|
37 |
36
|
fvresd |
|
38 |
36
|
fvresd |
|
39 |
32 37 38
|
3eqtr3d |
|
40 |
|
simprl3 |
|
41 |
40
|
adantl |
|
42 |
|
simprr3 |
|
43 |
42
|
adantl |
|
44 |
39 41 43
|
3eqtr3d |
|
45 |
44
|
expr |
|
46 |
45
|
rexlimdvva |
|
47 |
1 46
|
syl5bir |
|
48 |
47
|
alrimivv |
|
49 |
|
eqeq2 |
|
50 |
49
|
3anbi3d |
|
51 |
50
|
rexbidv |
|
52 |
|
dmeq |
|
53 |
52
|
eleq2d |
|
54 |
|
breq1 |
|
55 |
54
|
notbid |
|
56 |
|
reseq1 |
|
57 |
56
|
eqeq1d |
|
58 |
55 57
|
imbi12d |
|
59 |
58
|
ralbidv |
|
60 |
|
fveq1 |
|
61 |
60
|
eqeq1d |
|
62 |
53 59 61
|
3anbi123d |
|
63 |
62
|
cbvrexvw |
|
64 |
51 63
|
bitrdi |
|
65 |
64
|
mo4 |
|
66 |
48 65
|
sylibr |
|