Step |
Hyp |
Ref |
Expression |
1 |
|
minregex |
|
2 |
|
eldifi |
|
3 |
|
iscard4 |
|
4 |
2 3
|
sylibr |
|
5 |
4
|
adantr |
|
6 |
|
alephcard |
|
7 |
6
|
a1i |
|
8 |
5 7
|
sseq12d |
|
9 |
|
numth3 |
|
10 |
|
alephon |
|
11 |
|
onenon |
|
12 |
10 11
|
mp1i |
|
13 |
|
carddom2 |
|
14 |
9 12 13
|
syl2an |
|
15 |
8 14
|
bitr3d |
|
16 |
15
|
3anbi2d |
|
17 |
16
|
rabbidva |
|
18 |
17
|
inteqd |
|
19 |
18
|
eqeq2d |
|
20 |
19
|
rexbidv |
|
21 |
1 20
|
mpbid |
|