Step |
Hyp |
Ref |
Expression |
1 |
|
stle.1 |
|
2 |
|
stle.2 |
|
3 |
2
|
chshii |
|
4 |
|
shococss |
|
5 |
3 4
|
ax-mp |
|
6 |
|
sstr2 |
|
7 |
5 6
|
mpi |
|
8 |
2
|
choccli |
|
9 |
1 8
|
pm3.2i |
|
10 |
7 9
|
jctil |
|
11 |
|
stj |
|
12 |
10 11
|
syl5 |
|
13 |
12
|
imp |
|
14 |
1 8
|
chjcli |
|
15 |
|
stle1 |
|
16 |
14 15
|
mpi |
|
17 |
2
|
sto1i |
|
18 |
16 17
|
breqtrrd |
|
19 |
18
|
adantr |
|
20 |
13 19
|
eqbrtrrd |
|
21 |
|
stcl |
|
22 |
1 21
|
mpi |
|
23 |
|
stcl |
|
24 |
2 23
|
mpi |
|
25 |
|
stcl |
|
26 |
8 25
|
mpi |
|
27 |
22 24 26
|
3jca |
|
28 |
27
|
adantr |
|
29 |
|
leadd1 |
|
30 |
28 29
|
syl |
|
31 |
20 30
|
mpbird |
|
32 |
31
|
ex |
|