Step |
Hyp |
Ref |
Expression |
1 |
|
axgroth5 |
|
2 |
|
biid |
|
3 |
|
pweq |
|
4 |
3
|
sseq1d |
|
5 |
4
|
cbvralvw |
|
6 |
|
ssid |
|
7 |
|
sseq2 |
|
8 |
7
|
rspcev |
|
9 |
6 8
|
mpan2 |
|
10 |
|
pweq |
|
11 |
10
|
sseq1d |
|
12 |
11
|
rspccv |
|
13 |
|
pwss |
|
14 |
|
vpwex |
|
15 |
|
sseq1 |
|
16 |
|
eleq1 |
|
17 |
15 16
|
imbi12d |
|
18 |
14 17
|
spcv |
|
19 |
13 18
|
sylbi |
|
20 |
12 19
|
syl6 |
|
21 |
20
|
rexlimdv |
|
22 |
9 21
|
impbid2 |
|
23 |
22
|
ralbidv |
|
24 |
5 23
|
sylbi |
|
25 |
24
|
pm5.32i |
|
26 |
|
r19.26 |
|
27 |
|
r19.26 |
|
28 |
25 26 27
|
3bitr4i |
|
29 |
|
velpw |
|
30 |
|
impexp |
|
31 |
|
ssdomg |
|
32 |
31
|
elv |
|
33 |
32
|
pm4.71i |
|
34 |
33
|
imbi1i |
|
35 |
|
brsdom |
|
36 |
35
|
imbi1i |
|
37 |
|
impexp |
|
38 |
36 37
|
bitri |
|
39 |
38
|
imbi2i |
|
40 |
30 34 39
|
3bitr4ri |
|
41 |
40
|
pm5.74ri |
|
42 |
|
pm4.64 |
|
43 |
41 42
|
bitrdi |
|
44 |
29 43
|
sylbi |
|
45 |
44
|
ralbiia |
|
46 |
2 28 45
|
3anbi123i |
|
47 |
46
|
exbii |
|
48 |
1 47
|
mpbir |
|