Step |
Hyp |
Ref |
Expression |
1 |
|
rnghomval.1 |
|
2 |
|
rnghomval.2 |
|
3 |
|
rnghomval.3 |
|
4 |
|
rnghomval.4 |
|
5 |
|
rnghomval.5 |
|
6 |
|
rnghomval.6 |
|
7 |
|
rnghomval.7 |
|
8 |
|
rnghomval.8 |
|
9 |
|
simpr |
|
10 |
9
|
fveq2d |
|
11 |
10 5
|
eqtr4di |
|
12 |
11
|
rneqd |
|
13 |
12 7
|
eqtr4di |
|
14 |
|
simpl |
|
15 |
14
|
fveq2d |
|
16 |
15 1
|
eqtr4di |
|
17 |
16
|
rneqd |
|
18 |
17 3
|
eqtr4di |
|
19 |
13 18
|
oveq12d |
|
20 |
14
|
fveq2d |
|
21 |
20 2
|
eqtr4di |
|
22 |
21
|
fveq2d |
|
23 |
22 4
|
eqtr4di |
|
24 |
23
|
fveq2d |
|
25 |
9
|
fveq2d |
|
26 |
25 6
|
eqtr4di |
|
27 |
26
|
fveq2d |
|
28 |
27 8
|
eqtr4di |
|
29 |
24 28
|
eqeq12d |
|
30 |
16
|
oveqd |
|
31 |
30
|
fveq2d |
|
32 |
11
|
oveqd |
|
33 |
31 32
|
eqeq12d |
|
34 |
21
|
oveqd |
|
35 |
34
|
fveq2d |
|
36 |
26
|
oveqd |
|
37 |
35 36
|
eqeq12d |
|
38 |
33 37
|
anbi12d |
|
39 |
18 38
|
raleqbidv |
|
40 |
18 39
|
raleqbidv |
|
41 |
29 40
|
anbi12d |
|
42 |
19 41
|
rabeqbidv |
|
43 |
|
df-rngohom |
|
44 |
|
ovex |
|
45 |
44
|
rabex |
|
46 |
42 43 45
|
ovmpoa |
|