Step |
Hyp |
Ref |
Expression |
1 |
|
mbfeqa.1 |
|
2 |
|
mbfeqa.2 |
|
3 |
|
mbfeqa.3 |
|
4 |
|
mbfeqalem.4 |
|
5 |
|
mbfeqalem.5 |
|
6 |
|
inundif |
|
7 |
|
incom |
|
8 |
|
dfin4 |
|
9 |
7 8
|
eqtri |
|
10 |
|
id |
|
11 |
1 2 3 4 5
|
mbfeqalem1 |
|
12 |
|
difmbl |
|
13 |
10 11 12
|
syl2anr |
|
14 |
9 13
|
eqeltrid |
|
15 |
3
|
eqcomd |
|
16 |
1 2 15 5 4
|
mbfeqalem1 |
|
17 |
16
|
adantr |
|
18 |
|
unmbl |
|
19 |
14 17 18
|
syl2anc |
|
20 |
6 19
|
eqeltrrid |
|
21 |
|
inundif |
|
22 |
|
incom |
|
23 |
|
dfin4 |
|
24 |
22 23
|
eqtri |
|
25 |
|
id |
|
26 |
|
difmbl |
|
27 |
25 16 26
|
syl2anr |
|
28 |
24 27
|
eqeltrid |
|
29 |
11
|
adantr |
|
30 |
|
unmbl |
|
31 |
28 29 30
|
syl2anc |
|
32 |
21 31
|
eqeltrrid |
|
33 |
20 32
|
impbida |
|
34 |
33
|
ralbidv |
|
35 |
4
|
fmpttd |
|
36 |
|
ismbf |
|
37 |
35 36
|
syl |
|
38 |
5
|
fmpttd |
|
39 |
|
ismbf |
|
40 |
38 39
|
syl |
|
41 |
34 37 40
|
3bitr4d |
|