Step |
Hyp |
Ref |
Expression |
1 |
|
eqid |
|
2 |
|
bitsss |
|
3 |
2
|
a1i |
|
4 |
|
bitsfi |
|
5 |
|
elfpw |
|
6 |
3 4 5
|
sylanbrc |
|
7 |
6
|
adantl |
|
8 |
|
elinel2 |
|
9 |
|
2nn0 |
|
10 |
9
|
a1i |
|
11 |
|
elfpw |
|
12 |
11
|
simplbi |
|
13 |
12
|
sselda |
|
14 |
10 13
|
nn0expcld |
|
15 |
8 14
|
fsumnn0cl |
|
16 |
15
|
adantl |
|
17 |
|
bitsinv2 |
|
18 |
17
|
eqcomd |
|
19 |
18
|
ad2antll |
|
20 |
|
fveq2 |
|
21 |
20
|
eqeq2d |
|
22 |
19 21
|
syl5ibrcom |
|
23 |
|
bitsinv1 |
|
24 |
23
|
eqcomd |
|
25 |
24
|
ad2antrl |
|
26 |
|
sumeq1 |
|
27 |
26
|
eqeq2d |
|
28 |
25 27
|
syl5ibrcom |
|
29 |
22 28
|
impbid |
|
30 |
1 7 16 29
|
f1ocnv2d |
|
31 |
30
|
simpld |
|
32 |
|
bitsf |
|
33 |
32
|
a1i |
|
34 |
33
|
feqmptd |
|
35 |
34
|
reseq1d |
|
36 |
|
nn0ssz |
|
37 |
|
resmpt |
|
38 |
36 37
|
ax-mp |
|
39 |
35 38
|
eqtrdi |
|
40 |
|
f1oeq1 |
|
41 |
39 40
|
syl |
|
42 |
31 41
|
mpbird |
|
43 |
39
|
cnveqd |
|
44 |
30
|
simprd |
|
45 |
43 44
|
eqtrd |
|
46 |
42 45
|
jca |
|
47 |
46
|
mptru |
|