Step |
Hyp |
Ref |
Expression |
1 |
|
f1resfz0f1d.1 |
|
2 |
|
f1resfz0f1d.2 |
|
3 |
|
f1resfz0f1d.3 |
|
4 |
|
f1resfz0f1d.4 |
|
5 |
|
fz1ssfz0 |
|
6 |
5
|
a1i |
|
7 |
|
0elfz |
|
8 |
|
snssi |
|
9 |
1 7 8
|
3syl |
|
10 |
2 9
|
fssresd |
|
11 |
|
eqidd |
|
12 |
|
0nn0 |
|
13 |
|
fveqeq2 |
|
14 |
|
eqeq1 |
|
15 |
13 14
|
imbi12d |
|
16 |
|
fveq2 |
|
17 |
16
|
eqeq2d |
|
18 |
|
eqeq2 |
|
19 |
17 18
|
imbi12d |
|
20 |
15 19
|
2ralsng |
|
21 |
12 12 20
|
mp2an |
|
22 |
11 21
|
mpbir |
|
23 |
|
dff13 |
|
24 |
10 22 23
|
sylanblrc |
|
25 |
|
uncom |
|
26 |
|
fz0sn0fz1 |
|
27 |
1 26
|
syl |
|
28 |
25 27
|
eqtr4id |
|
29 |
|
0nelfz1 |
|
30 |
29
|
neli |
|
31 |
|
disjsn |
|
32 |
30 31
|
mpbir |
|
33 |
|
uneqdifeq |
|
34 |
5 32 33
|
mp2an |
|
35 |
28 34
|
sylib |
|
36 |
35
|
eqcomd |
|
37 |
36
|
reseq2d |
|
38 |
|
eqidd |
|
39 |
37 36 38
|
f1eq123d |
|
40 |
24 39
|
mpbid |
|
41 |
36
|
imaeq2d |
|
42 |
41
|
ineq2d |
|
43 |
|
incom |
|
44 |
43 4
|
syl5eqr |
|
45 |
42 44
|
eqtr3d |
|
46 |
6 2 3 40 45
|
f1resrcmplf1d |
|