Step |
Hyp |
Ref |
Expression |
1 |
|
coapm.o |
|
2 |
|
coapm.a |
|
3 |
|
eqid |
|
4 |
1 2 3
|
coafval |
|
5 |
4
|
mpofun |
|
6 |
|
funfn |
|
7 |
5 6
|
mpbi |
|
8 |
1 2
|
dmcoass |
|
9 |
8
|
sseli |
|
10 |
|
1st2nd2 |
|
11 |
9 10
|
syl |
|
12 |
11
|
fveq2d |
|
13 |
|
df-ov |
|
14 |
12 13
|
eqtr4di |
|
15 |
|
eqid |
|
16 |
2 15
|
homarw |
|
17 |
|
id |
|
18 |
11 17
|
eqeltrrd |
|
19 |
|
df-br |
|
20 |
18 19
|
sylibr |
|
21 |
1 2
|
eldmcoa |
|
22 |
20 21
|
sylib |
|
23 |
22
|
simp1d |
|
24 |
2 15
|
arwhoma |
|
25 |
23 24
|
syl |
|
26 |
22
|
simp3d |
|
27 |
26
|
oveq2d |
|
28 |
25 27
|
eleqtrd |
|
29 |
22
|
simp2d |
|
30 |
2 15
|
arwhoma |
|
31 |
29 30
|
syl |
|
32 |
1 15 28 31
|
coahom |
|
33 |
16 32
|
sseldi |
|
34 |
14 33
|
eqeltrd |
|
35 |
34
|
rgen |
|
36 |
|
ffnfv |
|
37 |
7 35 36
|
mpbir2an |
|
38 |
2
|
fvexi |
|
39 |
38 38
|
xpex |
|
40 |
38 39
|
elpm2 |
|
41 |
37 8 40
|
mpbir2an |
|