Step |
Hyp |
Ref |
Expression |
1 |
|
1re |
|
2 |
|
readdid2 |
|
3 |
1 2
|
ax-mp |
|
4 |
|
sn-1ne2 |
|
5 |
|
2re |
|
6 |
1 5
|
lttri2i |
|
7 |
4 6
|
mpbi |
|
8 |
|
1red |
|
9 |
1 5 1
|
ltadd2i |
|
10 |
9
|
biimpi |
|
11 |
|
1p1e2 |
|
12 |
|
1p2e3 |
|
13 |
10 11 12
|
3brtr3g |
|
14 |
|
3re |
|
15 |
1 5 14
|
lttri |
|
16 |
13 15
|
mpdan |
|
17 |
8 16
|
ltned |
|
18 |
14
|
a1i |
|
19 |
5 1 1
|
ltadd2i |
|
20 |
19
|
biimpi |
|
21 |
20 12 11
|
3brtr3g |
|
22 |
14 5 1
|
lttri |
|
23 |
21 22
|
mpancom |
|
24 |
18 23
|
gtned |
|
25 |
17 24
|
jaoi |
|
26 |
7 25
|
ax-mp |
|
27 |
|
df-3 |
|
28 |
26 27
|
neeqtri |
|
29 |
3 28
|
eqnetri |
|
30 |
|
oveq1 |
|
31 |
30
|
necon3i |
|
32 |
29 31
|
ax-mp |
|