Step |
Hyp |
Ref |
Expression |
1 |
|
ngppropd.1 |
|
2 |
|
ngppropd.2 |
|
3 |
|
ngppropd.3 |
|
4 |
|
ngppropd.4 |
|
5 |
|
ngppropd.5 |
|
6 |
1 2 4 5
|
mspropd |
|
7 |
6
|
adantr |
|
8 |
1
|
adantr |
|
9 |
2
|
adantr |
|
10 |
|
simpr |
|
11 |
3
|
adantlr |
|
12 |
4
|
adantr |
|
13 |
8 9 10 11 12
|
nmpropd2 |
|
14 |
8 9 10 11
|
grpsubpropd2 |
|
15 |
13 14
|
coeq12d |
|
16 |
1
|
sqxpeqd |
|
17 |
16
|
reseq2d |
|
18 |
2
|
sqxpeqd |
|
19 |
18
|
reseq2d |
|
20 |
4 17 19
|
3eqtr3d |
|
21 |
20
|
adantr |
|
22 |
15 21
|
eqeq12d |
|
23 |
7 22
|
anbi12d |
|
24 |
23
|
pm5.32da |
|
25 |
1 2 3
|
grppropd |
|
26 |
25
|
anbi1d |
|
27 |
24 26
|
bitrd |
|
28 |
|
3anass |
|
29 |
|
3anass |
|
30 |
27 28 29
|
3bitr4g |
|
31 |
|
eqid |
|
32 |
|
eqid |
|
33 |
|
eqid |
|
34 |
|
eqid |
|
35 |
|
eqid |
|
36 |
31 32 33 34 35
|
isngp2 |
|
37 |
|
eqid |
|
38 |
|
eqid |
|
39 |
|
eqid |
|
40 |
|
eqid |
|
41 |
|
eqid |
|
42 |
37 38 39 40 41
|
isngp2 |
|
43 |
30 36 42
|
3bitr4g |
|