Step |
Hyp |
Ref |
Expression |
1 |
|
cnegex |
|
2 |
|
cnegex |
|
3 |
2
|
ad2antrl |
|
4 |
|
0cn |
|
5 |
|
addass |
|
6 |
4 4 5
|
mp3an12 |
|
7 |
6
|
adantr |
|
8 |
7
|
3ad2ant3 |
|
9 |
|
00id |
|
10 |
9
|
oveq1i |
|
11 |
|
simp1 |
|
12 |
|
simp2l |
|
13 |
|
simp3l |
|
14 |
11 12 13
|
addassd |
|
15 |
|
simp2r |
|
16 |
15
|
oveq1d |
|
17 |
|
simp3r |
|
18 |
17
|
oveq2d |
|
19 |
14 16 18
|
3eqtr3rd |
|
20 |
|
addid1 |
|
21 |
20
|
3ad2ant1 |
|
22 |
19 21
|
eqtr3d |
|
23 |
10 22
|
syl5eq |
|
24 |
22
|
oveq2d |
|
25 |
8 23 24
|
3eqtr3rd |
|
26 |
25
|
3expia |
|
27 |
26
|
expd |
|
28 |
27
|
rexlimdv |
|
29 |
3 28
|
mpd |
|
30 |
1 29
|
rexlimddv |
|