Step |
Hyp |
Ref |
Expression |
1 |
|
salexct3.a |
|
2 |
|
salexct3.s |
|
3 |
|
salexct3.x |
|
4 |
|
ovex |
|
5 |
1 4
|
eqeltri |
|
6 |
5
|
a1i |
|
7 |
6 2
|
salexct |
|
8 |
7
|
mptru |
|
9 |
|
0re |
|
10 |
|
2re |
|
11 |
9 10
|
pm3.2i |
|
12 |
9
|
leidi |
|
13 |
|
1le2 |
|
14 |
12 13
|
pm3.2i |
|
15 |
|
iccss |
|
16 |
11 14 15
|
mp2an |
|
17 |
|
id |
|
18 |
16 17
|
sselid |
|
19 |
18 1
|
eleqtrrdi |
|
20 |
|
snelpwi |
|
21 |
19 20
|
syl |
|
22 |
|
snfi |
|
23 |
|
fict |
|
24 |
22 23
|
ax-mp |
|
25 |
|
orc |
|
26 |
24 25
|
ax-mp |
|
27 |
26
|
a1i |
|
28 |
21 27
|
jca |
|
29 |
|
breq1 |
|
30 |
|
difeq2 |
|
31 |
30
|
breq1d |
|
32 |
29 31
|
orbi12d |
|
33 |
32 2
|
elrab2 |
|
34 |
28 33
|
sylibr |
|
35 |
34
|
rgen |
|
36 |
|
eqid |
|
37 |
36
|
rnmptss |
|
38 |
35 37
|
ax-mp |
|
39 |
3 38
|
eqsstri |
|
40 |
3
|
unieqi |
|
41 |
|
snex |
|
42 |
41
|
rgenw |
|
43 |
|
dfiun3g |
|
44 |
42 43
|
ax-mp |
|
45 |
44
|
eqcomi |
|
46 |
|
iunid |
|
47 |
40 45 46
|
3eqtrri |
|
48 |
47
|
eqcomi |
|
49 |
1 2 48
|
salexct2 |
|
50 |
8 39 49
|
3pm3.2i |
|