Step |
Hyp |
Ref |
Expression |
1 |
|
mnuprdlem3.1 |
|
2 |
|
mnuprdlem3.9 |
|
3 |
|
elpri |
|
4 |
|
0ex |
|
5 |
4
|
prid1 |
|
6 |
5
|
a1i |
|
7 |
|
simplr |
|
8 |
|
simpr |
|
9 |
6 7 8
|
3eltr4d |
|
10 |
|
prex |
|
11 |
10
|
prid1 |
|
12 |
11 1
|
eleqtrri |
|
13 |
12
|
a1i |
|
14 |
9 13
|
rspcime |
|
15 |
|
p0ex |
|
16 |
15
|
prid1 |
|
17 |
16
|
a1i |
|
18 |
|
simplr |
|
19 |
|
simpr |
|
20 |
17 18 19
|
3eltr4d |
|
21 |
|
prex |
|
22 |
21
|
prid2 |
|
23 |
22 1
|
eleqtrri |
|
24 |
23
|
a1i |
|
25 |
20 24
|
rspcime |
|
26 |
14 25
|
jaodan |
|
27 |
3 26
|
sylan2 |
|
28 |
|
elequ2 |
|
29 |
28
|
cbvrexvw |
|
30 |
27 29
|
sylib |
|
31 |
30
|
ex |
|
32 |
2 31
|
ralrimi |
|