Step |
Hyp |
Ref |
Expression |
1 |
|
isrnghm.b |
|
2 |
|
isrnghm.t |
|
3 |
|
isrnghm.m |
|
4 |
|
rnghmrcl |
|
5 |
|
eqid |
|
6 |
|
eqid |
|
7 |
|
eqid |
|
8 |
1 2 3 5 6 7
|
rnghmval |
|
9 |
8
|
eleq2d |
|
10 |
|
fveq1 |
|
11 |
|
fveq1 |
|
12 |
|
fveq1 |
|
13 |
11 12
|
oveq12d |
|
14 |
10 13
|
eqeq12d |
|
15 |
|
fveq1 |
|
16 |
11 12
|
oveq12d |
|
17 |
15 16
|
eqeq12d |
|
18 |
14 17
|
anbi12d |
|
19 |
18
|
2ralbidv |
|
20 |
19
|
elrab |
|
21 |
|
r19.26-2 |
|
22 |
21
|
anbi2i |
|
23 |
|
anass |
|
24 |
22 23
|
bitr4i |
|
25 |
1 5 6 7
|
isghm |
|
26 |
|
fvex |
|
27 |
1
|
fvexi |
|
28 |
26 27
|
pm3.2i |
|
29 |
|
elmapg |
|
30 |
28 29
|
mp1i |
|
31 |
30
|
anbi1d |
|
32 |
|
rngabl |
|
33 |
|
ablgrp |
|
34 |
32 33
|
syl |
|
35 |
|
rngabl |
|
36 |
|
ablgrp |
|
37 |
35 36
|
syl |
|
38 |
|
ibar |
|
39 |
34 37 38
|
syl2an |
|
40 |
31 39
|
bitr2d |
|
41 |
25 40
|
syl5rbb |
|
42 |
41
|
anbi1d |
|
43 |
24 42
|
syl5bb |
|
44 |
20 43
|
syl5bb |
|
45 |
9 44
|
bitrd |
|
46 |
4 45
|
biadanii |
|