Step |
Hyp |
Ref |
Expression |
1 |
|
0xr |
|
2 |
|
xaddid1 |
|
3 |
1 2
|
ax-mp |
|
4 |
|
simplr |
|
5 |
|
simpr |
|
6 |
1
|
a1i |
|
7 |
|
iccssxr |
|
8 |
|
simplll |
|
9 |
7 8
|
sselid |
|
10 |
|
simpllr |
|
11 |
7 10
|
sselid |
|
12 |
|
xlt2add |
|
13 |
6 6 9 11 12
|
syl22anc |
|
14 |
4 5 13
|
mp2and |
|
15 |
3 14
|
eqbrtrrid |
|
16 |
|
simplr |
|
17 |
|
oveq2 |
|
18 |
17
|
adantl |
|
19 |
18
|
breq2d |
|
20 |
|
simplll |
|
21 |
7 20
|
sselid |
|
22 |
|
xaddid1 |
|
23 |
21 22
|
syl |
|
24 |
23
|
breq2d |
|
25 |
19 24
|
bitr3d |
|
26 |
16 25
|
mpbird |
|
27 |
1
|
a1i |
|
28 |
|
simplr |
|
29 |
7 28
|
sselid |
|
30 |
|
pnfxr |
|
31 |
30
|
a1i |
|
32 |
|
iccgelb |
|
33 |
27 31 28 32
|
syl3anc |
|
34 |
|
xrleloe |
|
35 |
34
|
biimpa |
|
36 |
27 29 33 35
|
syl21anc |
|
37 |
15 26 36
|
mpjaodan |
|