Step |
Hyp |
Ref |
Expression |
1 |
|
lneq2at.b |
|
2 |
|
lneq2at.l |
|
3 |
|
lneq2at.j |
|
4 |
|
lneq2at.a |
|
5 |
|
lneq2at.n |
|
6 |
|
lneq2at.m |
|
7 |
|
simp11 |
|
8 |
|
simp12 |
|
9 |
7 8
|
jca |
|
10 |
|
simp13 |
|
11 |
1 3 4 5 6
|
isline3 |
|
12 |
11
|
biimpd |
|
13 |
9 10 12
|
sylc |
|
14 |
|
simp3r |
|
15 |
|
simp111 |
|
16 |
|
simp121 |
|
17 |
|
simp122 |
|
18 |
16 17
|
jca |
|
19 |
|
simp2 |
|
20 |
15 18 19
|
3jca |
|
21 |
|
simp123 |
|
22 |
20 21
|
jca |
|
23 |
7
|
hllatd |
|
24 |
|
simp21 |
|
25 |
1 4
|
atbase |
|
26 |
24 25
|
syl |
|
27 |
|
simp22 |
|
28 |
1 4
|
atbase |
|
29 |
27 28
|
syl |
|
30 |
26 29 8
|
3jca |
|
31 |
23 30
|
jca |
|
32 |
|
simp3 |
|
33 |
1 2 3
|
latjle12 |
|
34 |
33
|
biimpd |
|
35 |
31 32 34
|
sylc |
|
36 |
35
|
3ad2ant1 |
|
37 |
36 14
|
breqtrd |
|
38 |
|
simpl1 |
|
39 |
|
simpl2l |
|
40 |
|
simpl2r |
|
41 |
|
simpr |
|
42 |
|
simpl3 |
|
43 |
2 3 4
|
ps-1 |
|
44 |
38 39 40 41 42 43
|
syl131anc |
|
45 |
44
|
biimpd |
|
46 |
22 37 45
|
sylc |
|
47 |
14 46
|
eqtr4d |
|
48 |
47
|
3exp |
|
49 |
48
|
rexlimdvv |
|
50 |
13 49
|
mpd |
|