Step |
Hyp |
Ref |
Expression |
1 |
|
rprmval.b |
|
2 |
|
rprmval.u |
|
3 |
|
rprmval.1 |
|
4 |
|
rprmval.m |
|
5 |
|
rprmval.d |
|
6 |
|
df-rprm |
|
7 |
|
fvexd |
|
8 |
|
simpr |
|
9 |
|
fveq2 |
|
10 |
9
|
adantr |
|
11 |
8 10
|
eqtrd |
|
12 |
11 1
|
eqtr4di |
|
13 |
|
fveq2 |
|
14 |
13 2
|
eqtr4di |
|
15 |
|
fveq2 |
|
16 |
15 3
|
eqtr4di |
|
17 |
16
|
sneqd |
|
18 |
14 17
|
uneq12d |
|
19 |
18
|
adantr |
|
20 |
12 19
|
difeq12d |
|
21 |
|
fvexd |
|
22 |
|
eqidd |
|
23 |
|
simpr |
|
24 |
|
fveq2 |
|
25 |
24
|
ad2antrr |
|
26 |
23 25
|
eqtrd |
|
27 |
26 5
|
eqtr4di |
|
28 |
|
fveq2 |
|
29 |
28 4
|
eqtr4di |
|
30 |
29
|
ad2antrr |
|
31 |
30
|
oveqd |
|
32 |
22 27 31
|
breq123d |
|
33 |
27
|
breqd |
|
34 |
27
|
breqd |
|
35 |
33 34
|
orbi12d |
|
36 |
32 35
|
imbi12d |
|
37 |
21 36
|
sbcied |
|
38 |
12 37
|
raleqbidv |
|
39 |
12 38
|
raleqbidv |
|
40 |
20 39
|
rabeqbidv |
|
41 |
7 40
|
csbied |
|
42 |
|
elex |
|
43 |
1
|
fvexi |
|
44 |
43
|
difexi |
|
45 |
44
|
rabex |
|
46 |
45
|
a1i |
|
47 |
6 41 42 46
|
fvmptd3 |
|