Step |
Hyp |
Ref |
Expression |
1 |
|
dvaddf.s |
|
2 |
|
dvaddf.f |
|
3 |
|
dvaddf.g |
|
4 |
|
dvaddf.df |
|
5 |
|
dvaddf.dg |
|
6 |
|
dvbsss |
|
7 |
4 6
|
eqsstrrdi |
|
8 |
1 7
|
ssexd |
|
9 |
|
dvfg |
|
10 |
1 9
|
syl |
|
11 |
4
|
feq2d |
|
12 |
10 11
|
mpbid |
|
13 |
12
|
ffnd |
|
14 |
|
dvfg |
|
15 |
1 14
|
syl |
|
16 |
5
|
feq2d |
|
17 |
15 16
|
mpbid |
|
18 |
17
|
ffnd |
|
19 |
|
dvfg |
|
20 |
1 19
|
syl |
|
21 |
|
recnprss |
|
22 |
1 21
|
syl |
|
23 |
|
addcl |
|
24 |
23
|
adantl |
|
25 |
|
inidm |
|
26 |
24 2 3 8 8 25
|
off |
|
27 |
22 26 7
|
dvbss |
|
28 |
2
|
adantr |
|
29 |
7
|
adantr |
|
30 |
3
|
adantr |
|
31 |
22
|
adantr |
|
32 |
4
|
eleq2d |
|
33 |
32
|
biimpar |
|
34 |
1
|
adantr |
|
35 |
|
ffun |
|
36 |
|
funfvbrb |
|
37 |
34 9 35 36
|
4syl |
|
38 |
33 37
|
mpbid |
|
39 |
5
|
eleq2d |
|
40 |
39
|
biimpar |
|
41 |
|
ffun |
|
42 |
|
funfvbrb |
|
43 |
34 14 41 42
|
4syl |
|
44 |
40 43
|
mpbid |
|
45 |
|
eqid |
|
46 |
28 29 30 29 31 38 44 45
|
dvaddbr |
|
47 |
|
reldv |
|
48 |
47
|
releldmi |
|
49 |
46 48
|
syl |
|
50 |
27 49
|
eqelssd |
|
51 |
50
|
feq2d |
|
52 |
20 51
|
mpbid |
|
53 |
52
|
ffnd |
|
54 |
|
eqidd |
|
55 |
|
eqidd |
|
56 |
28 29 30 29 34 33 40
|
dvadd |
|
57 |
56
|
eqcomd |
|
58 |
8 13 18 53 54 55 57
|
offveq |
|
59 |
58
|
eqcomd |
|