Step |
Hyp |
Ref |
Expression |
1 |
|
simpl |
|
2 |
|
funres11 |
|
3 |
2
|
adantl |
|
4 |
|
1e0p1 |
|
5 |
4
|
oveq1i |
|
6 |
5
|
ineq2i |
|
7 |
|
0z |
|
8 |
|
prinfzo0 |
|
9 |
7 8
|
ax-mp |
|
10 |
6 9
|
eqtri |
|
11 |
10
|
imaeq2i |
|
12 |
|
ima0 |
|
13 |
11 12
|
eqtri |
|
14 |
|
imain |
|
15 |
13 14
|
syl5reqr |
|
16 |
15
|
adantl |
|
17 |
1 3 16
|
3jca |
|
18 |
|
isspth |
|
19 |
|
ispth |
|
20 |
17 18 19
|
3imtr4i |
|