Step |
Hyp |
Ref |
Expression |
1 |
|
ssv |
|
2 |
|
sseq2 |
|
3 |
1 2
|
mpbiri |
|
4 |
|
cardidm |
|
5 |
|
iscard3 |
|
6 |
4 5
|
mpbi |
|
7 |
|
elun |
|
8 |
6 7
|
mpbi |
|
9 |
|
fingch |
|
10 |
|
nnfi |
|
11 |
9 10
|
sseldi |
|
12 |
11
|
a1i |
|
13 |
|
ssel |
|
14 |
12 13
|
jaod |
|
15 |
8 14
|
mpi |
|
16 |
|
vex |
|
17 |
|
alephon |
|
18 |
|
simpr |
|
19 |
|
simpl |
|
20 |
|
alephfnon |
|
21 |
|
fnfvelrn |
|
22 |
20 18 21
|
sylancr |
|
23 |
19 22
|
sseldd |
|
24 |
|
suceloni |
|
25 |
24
|
adantl |
|
26 |
|
fnfvelrn |
|
27 |
20 25 26
|
sylancr |
|
28 |
19 27
|
sseldd |
|
29 |
|
gchaleph2 |
|
30 |
18 23 28 29
|
syl3anc |
|
31 |
|
isnumi |
|
32 |
17 30 31
|
sylancr |
|
33 |
32
|
ralrimiva |
|
34 |
|
dfac12 |
|
35 |
33 34
|
sylibr |
|
36 |
|
dfac10 |
|
37 |
35 36
|
sylib |
|
38 |
16 37
|
eleqtrrid |
|
39 |
|
cardid2 |
|
40 |
|
engch |
|
41 |
38 39 40
|
3syl |
|
42 |
15 41
|
mpbid |
|
43 |
16
|
a1i |
|
44 |
42 43
|
2thd |
|
45 |
44
|
eqrdv |
|
46 |
3 45
|
impbii |
|