Step |
Hyp |
Ref |
Expression |
1 |
|
psgnfval.g |
|
2 |
|
psgnfval.b |
|
3 |
|
psgnfval.f |
|
4 |
|
psgnfval.t |
|
5 |
|
psgnfval.n |
|
6 |
|
fveq2 |
|
7 |
6 1
|
eqtr4di |
|
8 |
7
|
fveq2d |
|
9 |
8 2
|
eqtr4di |
|
10 |
|
rabeq |
|
11 |
9 10
|
syl |
|
12 |
11 3
|
eqtr4di |
|
13 |
|
fveq2 |
|
14 |
13
|
rneqd |
|
15 |
14 4
|
eqtr4di |
|
16 |
|
wrdeq |
|
17 |
15 16
|
syl |
|
18 |
7
|
oveq1d |
|
19 |
18
|
eqeq2d |
|
20 |
19
|
anbi1d |
|
21 |
17 20
|
rexeqbidv |
|
22 |
21
|
iotabidv |
|
23 |
12 22
|
mpteq12dv |
|
24 |
|
df-psgn |
|
25 |
2
|
fvexi |
|
26 |
3 25
|
rabex2 |
|
27 |
26
|
mptex |
|
28 |
23 24 27
|
fvmpt |
|
29 |
|
fvprc |
|
30 |
|
fvprc |
|
31 |
1 30
|
syl5eq |
|
32 |
31
|
fveq2d |
|
33 |
|
base0 |
|
34 |
32 33
|
eqtr4di |
|
35 |
2 34
|
syl5eq |
|
36 |
|
rabeq |
|
37 |
35 36
|
syl |
|
38 |
|
rab0 |
|
39 |
37 38
|
eqtrdi |
|
40 |
3 39
|
syl5eq |
|
41 |
40
|
mpteq1d |
|
42 |
|
mpt0 |
|
43 |
41 42
|
eqtrdi |
|
44 |
29 43
|
eqtr4d |
|
45 |
28 44
|
pm2.61i |
|
46 |
5 45
|
eqtri |
|