Step |
Hyp |
Ref |
Expression |
1 |
|
resvsca.r |
|
2 |
|
resvsca.f |
|
3 |
|
resvsca.b |
|
4 |
|
elex |
|
5 |
|
elex |
|
6 |
|
ovex |
|
7 |
|
ifcl |
|
8 |
6 7
|
mpan2 |
|
9 |
8
|
adantr |
|
10 |
|
simpl |
|
11 |
10
|
fveq2d |
|
12 |
11 2
|
eqtr4di |
|
13 |
12
|
fveq2d |
|
14 |
13 3
|
eqtr4di |
|
15 |
|
simpr |
|
16 |
14 15
|
sseq12d |
|
17 |
12 15
|
oveq12d |
|
18 |
17
|
opeq2d |
|
19 |
10 18
|
oveq12d |
|
20 |
16 10 19
|
ifbieq12d |
|
21 |
|
df-resv |
|
22 |
20 21
|
ovmpoga |
|
23 |
9 22
|
mpd3an3 |
|
24 |
4 5 23
|
syl2an |
|
25 |
1 24
|
syl5eq |
|