Step |
Hyp |
Ref |
Expression |
1 |
|
eqeq1 |
|
2 |
1
|
rexbidv |
|
3 |
|
reseq1 |
|
4 |
3
|
eqeq2d |
|
5 |
4
|
cbvrexvw |
|
6 |
2 5
|
syl6bb |
|
7 |
6
|
cbvabv |
|
8 |
|
rexeq |
|
9 |
8
|
abbidv |
|
10 |
9
|
adantl |
|
11 |
|
eqeq1 |
|
12 |
11
|
anbi1d |
|
13 |
12
|
rexbidv |
|
14 |
13
|
rexab |
|
15 |
|
r19.41v |
|
16 |
15
|
exbii |
|
17 |
|
rexcom4 |
|
18 |
|
anass |
|
19 |
18
|
exbii |
|
20 |
|
vex |
|
21 |
20
|
resex |
|
22 |
|
reseq1 |
|
23 |
22
|
eqeq2d |
|
24 |
23
|
anbi2d |
|
25 |
21 24
|
ceqsexv |
|
26 |
19 25
|
bitri |
|
27 |
|
ancom |
|
28 |
|
simpl2 |
|
29 |
|
fzss2 |
|
30 |
|
resabs1 |
|
31 |
28 29 30
|
3syl |
|
32 |
31
|
eqeq2d |
|
33 |
32
|
anbi1d |
|
34 |
27 33
|
syl5bb |
|
35 |
26 34
|
syl5bb |
|
36 |
35
|
rexbidv |
|
37 |
17 36
|
bitr3id |
|
38 |
16 37
|
bitr3id |
|
39 |
14 38
|
syl5bb |
|
40 |
39
|
abbidv |
|
41 |
|
eldioph3 |
|
42 |
41
|
3ad2antl1 |
|
43 |
40 42
|
eqeltrd |
|
44 |
43
|
adantr |
|
45 |
10 44
|
eqeltrd |
|
46 |
|
eldioph3b |
|
47 |
46
|
simprbi |
|
48 |
47
|
3ad2ant3 |
|
49 |
45 48
|
r19.29a |
|
50 |
7 49
|
eqeltrrid |
|