Step |
Hyp |
Ref |
Expression |
1 |
|
mvrf.s |
|
2 |
|
mvrf.v |
|
3 |
|
mvrf.b |
|
4 |
|
mvrf.i |
|
5 |
|
mvrf.r |
|
6 |
|
mvrf1.z |
|
7 |
|
mvrf1.o |
|
8 |
|
mvrf1.n |
|
9 |
1 2 3 4 5
|
mvrf |
|
10 |
8
|
adantr |
|
11 |
|
simp2r |
|
12 |
11
|
fveq1d |
|
13 |
|
eqid |
|
14 |
4
|
3ad2ant1 |
|
15 |
5
|
3ad2ant1 |
|
16 |
|
simp2ll |
|
17 |
2 13 6 7 14 15 16
|
mvrid |
|
18 |
|
simp2lr |
|
19 |
|
1nn0 |
|
20 |
13
|
snifpsrbag |
|
21 |
14 19 20
|
sylancl |
|
22 |
2 13 6 7 14 15 18 21
|
mvrval2 |
|
23 |
12 17 22
|
3eqtr3d |
|
24 |
|
simp3 |
|
25 |
|
mpteqb |
|
26 |
|
0nn0 |
|
27 |
19 26
|
ifcli |
|
28 |
27
|
a1i |
|
29 |
25 28
|
mprg |
|
30 |
|
iftrue |
|
31 |
|
eqeq1 |
|
32 |
31
|
ifbid |
|
33 |
30 32
|
eqeq12d |
|
34 |
33
|
rspcv |
|
35 |
29 34
|
syl5bi |
|
36 |
16 35
|
syl |
|
37 |
|
ax-1ne0 |
|
38 |
|
eqeq1 |
|
39 |
38
|
necon3abid |
|
40 |
37 39
|
mpbii |
|
41 |
|
iffalse |
|
42 |
40 41
|
nsyl2 |
|
43 |
36 42
|
syl6 |
|
44 |
24 43
|
mtod |
|
45 |
|
iffalse |
|
46 |
44 45
|
syl |
|
47 |
23 46
|
eqtrd |
|
48 |
47
|
3expia |
|
49 |
48
|
necon1ad |
|
50 |
10 49
|
mpd |
|
51 |
50
|
expr |
|
52 |
51
|
ralrimivva |
|
53 |
|
dff13 |
|
54 |
9 52 53
|
sylanbrc |
|