Step |
Hyp |
Ref |
Expression |
1 |
|
axgroth4 |
|
2 |
|
3anass |
|
3 |
|
dfss2 |
|
4 |
|
elin |
|
5 |
3 4
|
imbi12i |
|
6 |
5
|
albii |
|
7 |
6
|
rexbii |
|
8 |
|
df-rex |
|
9 |
7 8
|
bitri |
|
10 |
9
|
ralbii |
|
11 |
|
df-ral |
|
12 |
10 11
|
bitri |
|
13 |
|
dfss2 |
|
14 |
|
vex |
|
15 |
14
|
difexi |
|
16 |
|
vex |
|
17 |
|
incom |
|
18 |
|
disjdif |
|
19 |
17 18
|
eqtri |
|
20 |
15 16 19
|
brdom6disj |
|
21 |
20
|
orbi1i |
|
22 |
|
19.44v |
|
23 |
21 22
|
bitr4i |
|
24 |
13 23
|
imbi12i |
|
25 |
|
19.35 |
|
26 |
24 25
|
bitr4i |
|
27 |
|
grothprimlem |
|
28 |
27
|
mobii |
|
29 |
|
df-mo |
|
30 |
28 29
|
bitri |
|
31 |
30
|
ralbii |
|
32 |
|
df-ral |
|
33 |
31 32
|
bitri |
|
34 |
|
df-ral |
|
35 |
|
eldif |
|
36 |
|
grothprimlem |
|
37 |
36
|
rexbii |
|
38 |
|
df-rex |
|
39 |
37 38
|
bitri |
|
40 |
35 39
|
imbi12i |
|
41 |
|
pm5.6 |
|
42 |
40 41
|
bitri |
|
43 |
42
|
albii |
|
44 |
34 43
|
bitri |
|
45 |
33 44
|
anbi12i |
|
46 |
|
19.26 |
|
47 |
45 46
|
bitr4i |
|
48 |
47
|
orbi1i |
|
49 |
48
|
imbi2i |
|
50 |
49
|
exbii |
|
51 |
26 50
|
bitri |
|
52 |
51
|
albii |
|
53 |
12 52
|
anbi12i |
|
54 |
|
19.26 |
|
55 |
53 54
|
bitr4i |
|
56 |
55
|
anbi2i |
|
57 |
2 56
|
bitri |
|
58 |
57
|
exbii |
|
59 |
1 58
|
mpbi |
|