Step |
Hyp |
Ref |
Expression |
1 |
|
stle.1 |
|
2 |
|
stle.2 |
|
3 |
|
stcl |
|
4 |
1 3
|
mpi |
|
5 |
|
stcl |
|
6 |
2 5
|
mpi |
|
7 |
4 6
|
readdcld |
|
8 |
|
ltne |
|
9 |
8
|
necomd |
|
10 |
7 9
|
sylan |
|
11 |
10
|
ex |
|
12 |
11
|
necon2bd |
|
13 |
|
1re |
|
14 |
13
|
a1i |
|
15 |
|
stle1 |
|
16 |
2 15
|
mpi |
|
17 |
6 14 4 16
|
leadd2dd |
|
18 |
17
|
adantr |
|
19 |
|
ltadd1 |
|
20 |
19
|
biimpd |
|
21 |
4 14 14 20
|
syl3anc |
|
22 |
21
|
imp |
|
23 |
|
readdcl |
|
24 |
4 13 23
|
sylancl |
|
25 |
13 13
|
readdcli |
|
26 |
25
|
a1i |
|
27 |
|
lelttr |
|
28 |
7 24 26 27
|
syl3anc |
|
29 |
28
|
adantr |
|
30 |
18 22 29
|
mp2and |
|
31 |
|
df-2 |
|
32 |
30 31
|
breqtrrdi |
|
33 |
32
|
ex |
|
34 |
33
|
con3d |
|
35 |
|
stle1 |
|
36 |
1 35
|
mpi |
|
37 |
|
leloe |
|
38 |
4 13 37
|
sylancl |
|
39 |
36 38
|
mpbid |
|
40 |
39
|
ord |
|
41 |
12 34 40
|
3syld |
|