Step |
Hyp |
Ref |
Expression |
1 |
|
2p1e3 |
|
2 |
|
0z |
|
3 |
|
3z |
|
4 |
|
0re |
|
5 |
|
3re |
|
6 |
|
3pos |
|
7 |
4 5 6
|
ltleii |
|
8 |
|
eluz2 |
|
9 |
2 3 7 8
|
mpbir3an |
|
10 |
1 9
|
eqeltri |
|
11 |
|
2z |
|
12 |
|
4z |
|
13 |
|
2re |
|
14 |
|
4re |
|
15 |
|
2lt4 |
|
16 |
13 14 15
|
ltleii |
|
17 |
|
eluz2 |
|
18 |
11 12 16 17
|
mpbir3an |
|
19 |
|
fzsplit2 |
|
20 |
10 18 19
|
mp2an |
|
21 |
|
fz0tp |
|
22 |
1
|
oveq1i |
|
23 |
|
df-4 |
|
24 |
23
|
oveq2i |
|
25 |
|
fzpr |
|
26 |
3 25
|
ax-mp |
|
27 |
|
3p1e4 |
|
28 |
27
|
preq2i |
|
29 |
24 26 28
|
3eqtri |
|
30 |
22 29
|
eqtri |
|
31 |
21 30
|
uneq12i |
|
32 |
20 31
|
eqtri |
|