Step |
Hyp |
Ref |
Expression |
1 |
|
sxbrsiga.0 |
|
2 |
|
brsigarn |
|
3 |
|
eqid |
|
4 |
3
|
sxval |
|
5 |
2 2 4
|
mp2an |
|
6 |
|
br2base |
|
7 |
1
|
tpr2uni |
|
8 |
6 7
|
eqtr4i |
|
9 |
|
brsigasspwrn |
|
10 |
9
|
sseli |
|
11 |
10
|
elpwid |
|
12 |
9
|
sseli |
|
13 |
12
|
elpwid |
|
14 |
|
xpinpreima2 |
|
15 |
11 13 14
|
syl2an |
|
16 |
1
|
tpr2tp |
|
17 |
|
sigagensiga |
|
18 |
16 17
|
ax-mp |
|
19 |
|
elrnsiga |
|
20 |
18 19
|
mp1i |
|
21 |
16
|
a1i |
|
22 |
21
|
sgsiga |
|
23 |
|
elrnsiga |
|
24 |
2 23
|
mp1i |
|
25 |
|
retopon |
|
26 |
1 25
|
eqeltri |
|
27 |
|
tx1cn |
|
28 |
26 26 27
|
mp2an |
|
29 |
28
|
a1i |
|
30 |
|
eqidd |
|
31 |
|
df-brsiga |
|
32 |
1
|
fveq2i |
|
33 |
31 32
|
eqtr4i |
|
34 |
33
|
a1i |
|
35 |
29 30 34
|
cnmbfm |
|
36 |
|
id |
|
37 |
22 24 35 36
|
mbfmcnvima |
|
38 |
37
|
adantr |
|
39 |
16
|
a1i |
|
40 |
39
|
sgsiga |
|
41 |
2 23
|
mp1i |
|
42 |
|
tx2cn |
|
43 |
26 26 42
|
mp2an |
|
44 |
43
|
a1i |
|
45 |
|
eqidd |
|
46 |
33
|
a1i |
|
47 |
44 45 46
|
cnmbfm |
|
48 |
|
id |
|
49 |
40 41 47 48
|
mbfmcnvima |
|
50 |
49
|
adantl |
|
51 |
|
inelsiga |
|
52 |
20 38 50 51
|
syl3anc |
|
53 |
15 52
|
eqeltrd |
|
54 |
53
|
rgen2 |
|
55 |
|
eqid |
|
56 |
55
|
rnmposs |
|
57 |
54 56
|
ax-mp |
|
58 |
|
sigagenss2 |
|
59 |
8 57 16 58
|
mp3an |
|
60 |
5 59
|
eqsstri |
|
61 |
1
|
sxbrsigalem6 |
|
62 |
60 61
|
eqssi |
|