Step |
Hyp |
Ref |
Expression |
1 |
|
metcn.2 |
|
2 |
|
metcn.4 |
|
3 |
|
simpr |
|
4 |
|
simpll |
|
5 |
|
simplr |
|
6 |
|
eqid |
|
7 |
6
|
cnprcl |
|
8 |
7
|
adantl |
|
9 |
1
|
mopnuni |
|
10 |
9
|
ad2antrr |
|
11 |
8 10
|
eleqtrrd |
|
12 |
1 2
|
metcnp |
|
13 |
4 5 11 12
|
syl3anc |
|
14 |
3 13
|
mpbid |
|
15 |
|
breq2 |
|
16 |
15
|
imbi2d |
|
17 |
16
|
rexralbidv |
|
18 |
17
|
rspccv |
|
19 |
14 18
|
simpl2im |
|
20 |
19
|
impr |
|