Step |
Hyp |
Ref |
Expression |
1 |
|
dfac10 |
|
2 |
|
basfn |
|
3 |
|
ssv |
|
4 |
|
fvelimab |
|
5 |
2 3 4
|
mp2an |
|
6 |
|
eqid |
|
7 |
6
|
grpbn0 |
|
8 |
|
neeq1 |
|
9 |
7 8
|
syl5ibcom |
|
10 |
9
|
rexlimiv |
|
11 |
5 10
|
sylbi |
|
12 |
11
|
adantl |
|
13 |
|
vex |
|
14 |
12 13
|
jctil |
|
15 |
|
ablgrp |
|
16 |
15
|
ssriv |
|
17 |
|
imass2 |
|
18 |
16 17
|
ax-mp |
|
19 |
|
simprl |
|
20 |
|
simpl |
|
21 |
19 20
|
eleqtrrd |
|
22 |
|
simprr |
|
23 |
|
isnumbasgrplem3 |
|
24 |
21 22 23
|
syl2anc |
|
25 |
18 24
|
sselid |
|
26 |
14 25
|
impbida |
|
27 |
|
eldifsn |
|
28 |
26 27
|
bitr4di |
|
29 |
28
|
eqrdv |
|
30 |
|
fvex |
|
31 |
13 30
|
unex |
|
32 |
|
ssun2 |
|
33 |
|
harn0 |
|
34 |
13 33
|
ax-mp |
|
35 |
|
ssn0 |
|
36 |
32 34 35
|
mp2an |
|
37 |
|
eldifsn |
|
38 |
31 36 37
|
mpbir2an |
|
39 |
38
|
a1i |
|
40 |
|
id |
|
41 |
39 40
|
eleqtrrd |
|
42 |
|
isnumbasgrp |
|
43 |
41 42
|
sylibr |
|
44 |
13
|
a1i |
|
45 |
43 44
|
2thd |
|
46 |
45
|
eqrdv |
|
47 |
29 46
|
impbii |
|
48 |
1 47
|
bitri |
|