Step |
Hyp |
Ref |
Expression |
1 |
|
atoml.1 |
|
2 |
|
atelch |
|
3 |
1
|
choccli |
|
4 |
|
chincl |
|
5 |
3 4
|
mpan |
|
6 |
|
chj0 |
|
7 |
5 6
|
syl |
|
8 |
|
incom |
|
9 |
7 8
|
eqtrdi |
|
10 |
|
h0elch |
|
11 |
|
chjcom |
|
12 |
5 10 11
|
sylancl |
|
13 |
9 12
|
eqtr3d |
|
14 |
|
incom |
|
15 |
1
|
chocini |
|
16 |
14 15
|
eqtri |
|
17 |
16
|
oveq1i |
|
18 |
13 17
|
eqtr4di |
|
19 |
18
|
adantr |
|
20 |
1
|
cmidi |
|
21 |
1 1 20
|
cmcm2ii |
|
22 |
|
fh2 |
|
23 |
21 22
|
mpanr1 |
|
24 |
1 23
|
mp3anl2 |
|
25 |
3 24
|
mpanl1 |
|
26 |
19 25
|
eqtr4d |
|
27 |
2 26
|
sylan |
|
28 |
|
incom |
|
29 |
27 28
|
eqtrdi |
|
30 |
29
|
adantr |
|
31 |
1
|
atoml2i |
|
32 |
31
|
adantlr |
|
33 |
30 32
|
eqeltrd |
|
34 |
|
atssma |
|
35 |
3 34
|
mpan2 |
|
36 |
35
|
ad2antrr |
|
37 |
33 36
|
mpbird |
|
38 |
37
|
ex |
|
39 |
38
|
orrd |
|