Step |
Hyp |
Ref |
Expression |
1 |
|
fsuppres.s |
|
2 |
|
fsuppres.z |
|
3 |
|
fsuppimp |
|
4 |
|
relprcnfsupp |
|
5 |
4
|
con4i |
|
6 |
1 5
|
syl |
|
7 |
6 2
|
jca |
|
8 |
7
|
adantr |
|
9 |
|
ressuppss |
|
10 |
|
ssfi |
|
11 |
10
|
expcom |
|
12 |
8 9 11
|
3syl |
|
13 |
12
|
expcom |
|
14 |
13
|
com23 |
|
15 |
14
|
imp |
|
16 |
3 15
|
syl |
|
17 |
1 16
|
mpcom |
|
18 |
|
funres |
|
19 |
18
|
adantr |
|
20 |
1 3 19
|
3syl |
|
21 |
|
resexg |
|
22 |
1 5 21
|
3syl |
|
23 |
|
funisfsupp |
|
24 |
20 22 2 23
|
syl3anc |
|
25 |
17 24
|
mpbird |
|