Step |
Hyp |
Ref |
Expression |
1 |
|
coe1mul2lem2.h |
|
2 |
|
df1o2 |
|
3 |
|
nn0ex |
|
4 |
|
0ex |
|
5 |
|
eqid |
|
6 |
2 3 4 5
|
mapsnf1o2 |
|
7 |
|
f1of1 |
|
8 |
6 7
|
ax-mp |
|
9 |
1
|
ssrab3 |
|
10 |
9
|
a1i |
|
11 |
|
f1ores |
|
12 |
8 10 11
|
sylancr |
|
13 |
|
coe1mul2lem1 |
|
14 |
13
|
rabbidva |
|
15 |
|
fveq1 |
|
16 |
15
|
eleq1d |
|
17 |
16
|
cbvrabv |
|
18 |
14 17
|
eqtr4di |
|
19 |
5
|
mptpreima |
|
20 |
18 1 19
|
3eqtr4g |
|
21 |
20
|
imaeq2d |
|
22 |
|
f1ofo |
|
23 |
6 22
|
ax-mp |
|
24 |
|
fz0ssnn0 |
|
25 |
|
foimacnv |
|
26 |
23 24 25
|
mp2an |
|
27 |
21 26
|
eqtrdi |
|
28 |
27
|
f1oeq3d |
|
29 |
|
resmpt |
|
30 |
|
f1oeq1 |
|
31 |
10 29 30
|
3syl |
|
32 |
28 31
|
bitrd |
|
33 |
12 32
|
mpbid |
|