Step |
Hyp |
Ref |
Expression |
1 |
|
lsmsnorb.1 |
|
2 |
|
lsmsnorb.2 |
|
3 |
|
lsmsnorb.3 |
|
4 |
|
lsmsnorb.4 |
|
5 |
|
lsmsnorb.5 |
|
6 |
|
lsmsnorb.6 |
|
7 |
|
lsmsnorb.7 |
|
8 |
7
|
snssd |
|
9 |
1 3
|
lsmssv |
|
10 |
5 6 8 9
|
syl3anc |
|
11 |
10
|
sselda |
|
12 |
|
df-ec |
|
13 |
|
imassrn |
|
14 |
4
|
rneqi |
|
15 |
|
rnopab |
|
16 |
|
vex |
|
17 |
|
vex |
|
18 |
16 17
|
prss |
|
19 |
18
|
biimpri |
|
20 |
19
|
simprd |
|
21 |
20
|
adantr |
|
22 |
21
|
exlimiv |
|
23 |
22
|
abssi |
|
24 |
15 23
|
eqsstri |
|
25 |
14 24
|
eqsstri |
|
26 |
13 25
|
sstri |
|
27 |
26
|
a1i |
|
28 |
12 27
|
eqsstrid |
|
29 |
28
|
sselda |
|
30 |
4
|
gaorb |
|
31 |
7
|
anim1i |
|
32 |
31
|
biantrurd |
|
33 |
|
df-3an |
|
34 |
32 33
|
bitr4di |
|
35 |
30 34
|
bitr4id |
|
36 |
|
vex |
|
37 |
7
|
adantr |
|
38 |
|
elecg |
|
39 |
36 37 38
|
sylancr |
|
40 |
5
|
adantr |
|
41 |
6
|
adantr |
|
42 |
1 2 3 40 41 37
|
elgrplsmsn |
|
43 |
|
eqcom |
|
44 |
43
|
rexbii |
|
45 |
42 44
|
bitrdi |
|
46 |
35 39 45
|
3bitr4rd |
|
47 |
11 29 46
|
eqrdav |
|