Step |
Hyp |
Ref |
Expression |
1 |
|
mnugrud.1 |
|
2 |
|
mnugrud.2 |
|
3 |
1 2
|
mnutrd |
|
4 |
2
|
adantr |
|
5 |
|
simpr |
|
6 |
1 4 5
|
mnupwd |
|
7 |
2
|
ad2antrr |
|
8 |
5
|
adantr |
|
9 |
|
simpr |
|
10 |
1 7 8 9
|
mnuprd |
|
11 |
10
|
ralrimiva |
|
12 |
2
|
ad2antrr |
|
13 |
5
|
adantr |
|
14 |
|
elmapi |
|
15 |
14
|
adantl |
|
16 |
1 12 13 15
|
mnurnd |
|
17 |
1 12 16
|
mnuunid |
|
18 |
17
|
ralrimiva |
|
19 |
6 11 18
|
3jca |
|
20 |
19
|
ralrimiva |
|
21 |
|
elgrug |
|
22 |
2 21
|
syl |
|
23 |
3 20 22
|
mpbir2and |
|