Step |
Hyp |
Ref |
Expression |
1 |
|
resvsca.r |
|
2 |
|
resvsca.f |
|
3 |
|
resvsca.b |
|
4 |
2
|
fvexi |
|
5 |
|
eqid |
|
6 |
5 3
|
ressid2 |
|
7 |
4 6
|
mp3an2 |
|
8 |
7
|
3adant2 |
|
9 |
1 2 3
|
resvid2 |
|
10 |
9
|
fveq2d |
|
11 |
2 8 10
|
3eqtr4a |
|
12 |
11
|
3expib |
|
13 |
|
simp2 |
|
14 |
|
ovex |
|
15 |
|
scaid |
|
16 |
15
|
setsid |
|
17 |
13 14 16
|
sylancl |
|
18 |
1 2 3
|
resvval2 |
|
19 |
18
|
fveq2d |
|
20 |
17 19
|
eqtr4d |
|
21 |
20
|
3expib |
|
22 |
12 21
|
pm2.61i |
|
23 |
|
0fv |
|
24 |
|
0ex |
|
25 |
24 15
|
strfvn |
|
26 |
|
ress0 |
|
27 |
23 25 26
|
3eqtr4ri |
|
28 |
|
fvprc |
|
29 |
2 28
|
syl5eq |
|
30 |
29
|
oveq1d |
|
31 |
|
reldmresv |
|
32 |
31
|
ovprc1 |
|
33 |
1 32
|
syl5eq |
|
34 |
33
|
fveq2d |
|
35 |
27 30 34
|
3eqtr4a |
|
36 |
35
|
adantr |
|
37 |
22 36
|
pm2.61ian |
|