Step |
Hyp |
Ref |
Expression |
1 |
|
df-nan |
|
2 |
|
pm4.57 |
|
3 |
|
orel2 |
|
4 |
3
|
com12 |
|
5 |
|
simpr |
|
6 |
5
|
a1i |
|
7 |
4 6
|
jad |
|
8 |
7
|
com12 |
|
9 |
|
pm3.45 |
|
10 |
|
pm3.45 |
|
11 |
9 10
|
anim12i |
|
12 |
|
jaob |
|
13 |
|
jaob |
|
14 |
11 12 13
|
3imtr4i |
|
15 |
8 14
|
syl |
|
16 |
|
pm3.22 |
|
17 |
15 16
|
syl6 |
|
18 |
2 17
|
syl5bi |
|
19 |
18
|
con1d |
|
20 |
|
df-nan |
|
21 |
20
|
biimpri |
|
22 |
|
df-nan |
|
23 |
22
|
biimpri |
|
24 |
21 23
|
anim12i |
|
25 |
19 24
|
syl6 |
|
26 |
1 25
|
syl5bi |
|
27 |
|
nannan |
|
28 |
|
nannan |
|
29 |
26 27 28
|
3imtr4i |
|
30 |
29
|
ancli |
|
31 |
|
nannan |
|
32 |
30 31
|
mpbir |
|