Step |
Hyp |
Ref |
Expression |
1 |
|
elfunsALTV |
|- ( F e. FunsALTV <-> ( ,~ F e. CnvRefRels /\ F e. Rels ) ) |
2 |
|
cosselcnvrefrels2 |
|- ( ,~ F e. CnvRefRels <-> ( ,~ F C_ _I /\ ,~ F e. Rels ) ) |
3 |
|
cosselrels |
|- ( F e. Rels -> ,~ F e. Rels ) |
4 |
3
|
biantrud |
|- ( F e. Rels -> ( ,~ F C_ _I <-> ( ,~ F C_ _I /\ ,~ F e. Rels ) ) ) |
5 |
2 4
|
bitr4id |
|- ( F e. Rels -> ( ,~ F e. CnvRefRels <-> ,~ F C_ _I ) ) |
6 |
5
|
pm5.32ri |
|- ( ( ,~ F e. CnvRefRels /\ F e. Rels ) <-> ( ,~ F C_ _I /\ F e. Rels ) ) |
7 |
1 6
|
bitri |
|- ( F e. FunsALTV <-> ( ,~ F C_ _I /\ F e. Rels ) ) |