Step |
Hyp |
Ref |
Expression |
1 |
|
0frgp.g |
|
2 |
|
0frgp.b |
|
3 |
|
0ex |
|
4 |
1
|
frgpgrp |
|
5 |
3 4
|
ax-mp |
|
6 |
|
f0 |
|
7 |
|
eqid |
|
8 |
|
eqid |
|
9 |
7 8 1 2
|
vrgpf |
|
10 |
|
ffn |
|
11 |
3 9 10
|
mp2b |
|
12 |
|
fn0 |
|
13 |
11 12
|
mpbi |
|
14 |
13
|
eqcomi |
|
15 |
1 2 14
|
frgpup3 |
|
16 |
5 3 6 15
|
mp3an |
|
17 |
|
reurmo |
|
18 |
16 17
|
ax-mp |
|
19 |
2
|
idghm |
|
20 |
5 19
|
ax-mp |
|
21 |
|
tru |
|
22 |
20 21
|
pm3.2i |
|
23 |
|
eqid |
|
24 |
23 2
|
0ghm |
|
25 |
5 5 24
|
mp2an |
|
26 |
25 21
|
pm3.2i |
|
27 |
|
co02 |
|
28 |
27
|
bitru |
|
29 |
28
|
a1i |
|
30 |
28
|
a1i |
|
31 |
29 30
|
rmoi |
|
32 |
18 22 26 31
|
mp3an |
|
33 |
|
mptresid |
|
34 |
|
fconstmpt |
|
35 |
32 33 34
|
3eqtr3i |
|
36 |
|
mpteqb |
|
37 |
|
id |
|
38 |
36 37
|
mprg |
|
39 |
35 38
|
mpbi |
|
40 |
39
|
rspec |
|
41 |
|
velsn |
|
42 |
40 41
|
sylibr |
|
43 |
42
|
ssriv |
|
44 |
2 23
|
grpidcl |
|
45 |
5 44
|
ax-mp |
|
46 |
|
snssi |
|
47 |
45 46
|
ax-mp |
|
48 |
43 47
|
eqssi |
|
49 |
|
fvex |
|
50 |
49
|
ensn1 |
|
51 |
48 50
|
eqbrtri |
|