Step |
Hyp |
Ref |
Expression |
1 |
|
frege70.x |
|
2 |
|
dffrege69 |
|
3 |
1
|
frege68c |
|
4 |
|
sbcel1v |
|
5 |
4
|
biimpri |
|
6 |
|
sbcim1 |
|
7 |
|
sbcal |
|
8 |
|
sbcim1 |
|
9 |
|
sbcbr1g |
|
10 |
1 9
|
ax-mp |
|
11 |
|
csbvarg |
|
12 |
1 11
|
ax-mp |
|
13 |
12
|
breq1i |
|
14 |
10 13
|
bitri |
|
15 |
|
sbcg |
|
16 |
1 15
|
ax-mp |
|
17 |
8 14 16
|
3imtr3g |
|
18 |
17
|
alimi |
|
19 |
7 18
|
sylbi |
|
20 |
5 6 19
|
syl56 |
|
21 |
3 20
|
syl6 |
|
22 |
2 21
|
ax-mp |
|