Step |
Hyp |
Ref |
Expression |
1 |
|
0z |
|
2 |
|
fzrevral |
|
3 |
1 2
|
mp3an3 |
|
4 |
3
|
3adant3 |
|
5 |
|
zsubcl |
|
6 |
1 5
|
mpan |
|
7 |
|
zsubcl |
|
8 |
1 7
|
mpan |
|
9 |
|
id |
|
10 |
|
fzrevral |
|
11 |
6 8 9 10
|
syl3an |
|
12 |
11
|
3com12 |
|
13 |
|
ovex |
|
14 |
|
oveq2 |
|
15 |
14
|
sbcco3gw |
|
16 |
13 15
|
ax-mp |
|
17 |
16
|
ralbii |
|
18 |
|
zcn |
|
19 |
|
zcn |
|
20 |
|
zcn |
|
21 |
|
df-neg |
|
22 |
21
|
oveq2i |
|
23 |
|
subneg |
|
24 |
|
addcom |
|
25 |
23 24
|
eqtrd |
|
26 |
22 25
|
syl5eqr |
|
27 |
26
|
3adant3 |
|
28 |
|
df-neg |
|
29 |
28
|
oveq2i |
|
30 |
|
subneg |
|
31 |
|
addcom |
|
32 |
30 31
|
eqtrd |
|
33 |
29 32
|
syl5eqr |
|
34 |
33
|
3adant2 |
|
35 |
27 34
|
oveq12d |
|
36 |
35
|
3coml |
|
37 |
18 19 20 36
|
syl3an |
|
38 |
37
|
raleqdv |
|
39 |
|
elfzelz |
|
40 |
39
|
zcnd |
|
41 |
|
df-neg |
|
42 |
|
negsubdi2 |
|
43 |
41 42
|
syl5eqr |
|
44 |
20 40 43
|
syl2an |
|
45 |
44
|
sbceq1d |
|
46 |
45
|
ralbidva |
|
47 |
46
|
3ad2ant3 |
|
48 |
38 47
|
bitrd |
|
49 |
17 48
|
syl5bb |
|
50 |
4 12 49
|
3bitrd |
|