Step |
Hyp |
Ref |
Expression |
1 |
|
salgensscntex.a |
|
2 |
|
salgensscntex.s |
|
3 |
|
salgensscntex.x |
|
4 |
|
salgensscntex.g |
|
5 |
|
0re |
|
6 |
|
2re |
|
7 |
5 6
|
pm3.2i |
|
8 |
5
|
leidi |
|
9 |
|
1le2 |
|
10 |
8 9
|
pm3.2i |
|
11 |
|
iccss |
|
12 |
7 10 11
|
mp2an |
|
13 |
|
id |
|
14 |
12 13
|
sseldi |
|
15 |
14 1
|
eleqtrrdi |
|
16 |
|
snelpwi |
|
17 |
15 16
|
syl |
|
18 |
|
snfi |
|
19 |
|
fict |
|
20 |
18 19
|
ax-mp |
|
21 |
|
orc |
|
22 |
20 21
|
ax-mp |
|
23 |
22
|
a1i |
|
24 |
17 23
|
jca |
|
25 |
|
breq1 |
|
26 |
|
difeq2 |
|
27 |
26
|
breq1d |
|
28 |
25 27
|
orbi12d |
|
29 |
28 2
|
elrab2 |
|
30 |
24 29
|
sylibr |
|
31 |
30
|
rgen |
|
32 |
|
eqid |
|
33 |
32
|
rnmptss |
|
34 |
31 33
|
ax-mp |
|
35 |
3 34
|
eqsstri |
|
36 |
|
ovex |
|
37 |
1 36
|
eqeltri |
|
38 |
37
|
a1i |
|
39 |
38 2
|
salexct |
|
40 |
39
|
mptru |
|
41 |
|
ovex |
|
42 |
41
|
mptex |
|
43 |
42
|
rnex |
|
44 |
3 43
|
eqeltri |
|
45 |
44
|
a1i |
|
46 |
3
|
unieqi |
|
47 |
|
snex |
|
48 |
47
|
rgenw |
|
49 |
|
dfiun3g |
|
50 |
48 49
|
ax-mp |
|
51 |
50
|
eqcomi |
|
52 |
|
iunid |
|
53 |
46 51 52
|
3eqtrri |
|
54 |
45 4 53
|
unisalgen |
|
55 |
54
|
mptru |
|
56 |
|
eqid |
|
57 |
1 2 56
|
salexct2 |
|
58 |
|
nelss |
|
59 |
55 57 58
|
mp2an |
|
60 |
35 40 59
|
3pm3.2i |
|