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 |
|
5nn0 |
|
13 |
12
|
nn0zi |
|
14 |
|
2re |
|
15 |
|
5re |
|
16 |
|
2lt5 |
|
17 |
14 15 16
|
ltleii |
|
18 |
|
eluz2 |
|
19 |
11 13 17 18
|
mpbir3an |
|
20 |
|
fzsplit2 |
|
21 |
10 19 20
|
mp2an |
|
22 |
|
fz0tp |
|
23 |
1
|
oveq1i |
|
24 |
|
3p2e5 |
|
25 |
24
|
eqcomi |
|
26 |
25
|
oveq2i |
|
27 |
|
fztp |
|
28 |
3 27
|
ax-mp |
|
29 |
|
eqid |
|
30 |
|
id |
|
31 |
|
3p1e4 |
|
32 |
31
|
a1i |
|
33 |
24
|
a1i |
|
34 |
30 32 33
|
tpeq123d |
|
35 |
29 34
|
ax-mp |
|
36 |
26 28 35
|
3eqtri |
|
37 |
23 36
|
eqtri |
|
38 |
22 37
|
uneq12i |
|
39 |
21 38
|
eqtri |
|