Step |
Hyp |
Ref |
Expression |
1 |
|
0ne1 |
|
2 |
|
ax-icn |
|
3 |
2 2
|
mulcli |
|
4 |
|
ax-1cn |
|
5 |
3 4 4
|
addassi |
|
6 |
5
|
a1i |
|
7 |
|
simpr |
|
8 |
7
|
oveq2d |
|
9 |
|
ax-i2m1 |
|
10 |
9
|
a1i |
|
11 |
6 8 10
|
3eqtr2rd |
|
12 |
|
simpl |
|
13 |
10
|
oveq1d |
|
14 |
11 12 13
|
3eqtr3d |
|
15 |
|
0red |
|
16 |
|
1red |
|
17 |
|
readdcan |
|
18 |
15 16 15 17
|
syl3anc |
|
19 |
14 18
|
mpbid |
|
20 |
19
|
ex |
|
21 |
20
|
necon3d |
|
22 |
1 21
|
mpi |
|
23 |
|
oveq2 |
|
24 |
|
0re |
|
25 |
|
ax-1rid |
|
26 |
24 25
|
ax-mp |
|
27 |
|
0cn |
|
28 |
27 4 4
|
adddii |
|
29 |
26 26
|
oveq12i |
|
30 |
28 29
|
eqtri |
|
31 |
23 26 30
|
3eqtr3g |
|
32 |
31
|
necon3i |
|
33 |
22 32
|
pm2.61ine |
|
34 |
|
df-2 |
|
35 |
33 34
|
neeqtrri |
|