Step |
Hyp |
Ref |
Expression |
1 |
|
mdslmd.1 |
|
2 |
|
mdslmd.2 |
|
3 |
|
mdslmd.3 |
|
4 |
|
mdslmd.4 |
|
5 |
|
chlej2 |
|
6 |
5
|
ex |
|
7 |
4 1 6
|
mp3an12 |
|
8 |
7
|
impcom |
|
9 |
8
|
ssrind |
|
10 |
9
|
adantll |
|
11 |
10
|
adantll |
|
12 |
11
|
adantr |
|
13 |
|
ssin |
|
14 |
|
inass |
|
15 |
|
mdi |
|
16 |
1 15
|
mp3anl1 |
|
17 |
2 16
|
mpanl1 |
|
18 |
17
|
ineq1d |
|
19 |
14 18
|
eqtr3id |
|
20 |
19
|
adantrlr |
|
21 |
20
|
adantrrr |
|
22 |
1 2
|
chincli |
|
23 |
|
mdi |
|
24 |
22 23
|
mp3anl1 |
|
25 |
3 24
|
mpanl1 |
|
26 |
|
inass |
|
27 |
26
|
oveq2i |
|
28 |
25 27
|
eqtrdi |
|
29 |
28
|
adantrll |
|
30 |
29
|
adantrrl |
|
31 |
21 30
|
eqtrd |
|
32 |
31
|
ancoms |
|
33 |
32
|
an32s |
|
34 |
13 33
|
sylan2br |
|
35 |
34
|
adantllr |
|
36 |
|
inass |
|
37 |
|
in12 |
|
38 |
|
inidm |
|
39 |
38
|
ineq2i |
|
40 |
37 39
|
eqtri |
|
41 |
40
|
ineq2i |
|
42 |
36 41
|
eqtr2i |
|
43 |
|
ssrin |
|
44 |
42 43
|
eqsstrid |
|
45 |
|
ssrin |
|
46 |
44 45
|
anim12i |
|
47 |
|
eqss |
|
48 |
46 47
|
sylibr |
|
49 |
48
|
oveq2d |
|
50 |
49
|
ad3antlr |
|
51 |
35 50
|
eqtrd |
|
52 |
12 51
|
sseqtrd |
|
53 |
52
|
ex |
|
54 |
53
|
ralrimiva |
|
55 |
2 3
|
chincli |
|
56 |
|
mdbr2 |
|
57 |
4 55 56
|
mp2an |
|
58 |
54 57
|
sylibr |
|