Step |
Hyp |
Ref |
Expression |
1 |
|
qusabl.h |
|
2 |
|
ablnsg |
|
3 |
2
|
eleq2d |
|
4 |
3
|
biimpar |
|
5 |
1
|
qusgrp |
|
6 |
4 5
|
syl |
|
7 |
|
vex |
|
8 |
7
|
elqs |
|
9 |
1
|
a1i |
|
10 |
|
eqidd |
|
11 |
|
ovexd |
|
12 |
|
simpl |
|
13 |
9 10 11 12
|
qusbas |
|
14 |
13
|
eleq2d |
|
15 |
8 14
|
bitr3id |
|
16 |
|
vex |
|
17 |
16
|
elqs |
|
18 |
13
|
eleq2d |
|
19 |
17 18
|
bitr3id |
|
20 |
15 19
|
anbi12d |
|
21 |
|
reeanv |
|
22 |
|
eqid |
|
23 |
|
eqid |
|
24 |
22 23
|
ablcom |
|
25 |
24
|
3expb |
|
26 |
25
|
adantlr |
|
27 |
26
|
eceq1d |
|
28 |
4
|
adantr |
|
29 |
|
simprl |
|
30 |
|
simprr |
|
31 |
|
eqid |
|
32 |
1 22 23 31
|
qusadd |
|
33 |
28 29 30 32
|
syl3anc |
|
34 |
1 22 23 31
|
qusadd |
|
35 |
28 30 29 34
|
syl3anc |
|
36 |
27 33 35
|
3eqtr4d |
|
37 |
|
oveq12 |
|
38 |
|
oveq12 |
|
39 |
38
|
ancoms |
|
40 |
37 39
|
eqeq12d |
|
41 |
36 40
|
syl5ibrcom |
|
42 |
41
|
rexlimdvva |
|
43 |
21 42
|
syl5bir |
|
44 |
20 43
|
sylbird |
|
45 |
44
|
ralrimivv |
|
46 |
|
eqid |
|
47 |
46 31
|
isabl2 |
|
48 |
6 45 47
|
sylanbrc |
|