Step |
Hyp |
Ref |
Expression |
1 |
|
lpival.p |
|
2 |
|
lpival.k |
|
3 |
|
lpival.b |
|
4 |
|
fveq2 |
|
5 |
|
fveq2 |
|
6 |
5
|
fveq1d |
|
7 |
6
|
sneqd |
|
8 |
4 7
|
iuneq12d |
|
9 |
|
df-lpidl |
|
10 |
|
fvex |
|
11 |
10
|
rnex |
|
12 |
|
p0ex |
|
13 |
11 12
|
unex |
|
14 |
|
iunss |
|
15 |
|
fvrn0 |
|
16 |
|
snssi |
|
17 |
15 16
|
ax-mp |
|
18 |
17
|
a1i |
|
19 |
14 18
|
mprgbir |
|
20 |
13 19
|
ssexi |
|
21 |
8 9 20
|
fvmpt |
|
22 |
|
iuneq1 |
|
23 |
3 22
|
ax-mp |
|
24 |
2
|
fveq1i |
|
25 |
24
|
sneqi |
|
26 |
25
|
a1i |
|
27 |
26
|
iuneq2i |
|
28 |
23 27
|
eqtri |
|
29 |
21 1 28
|
3eqtr4g |
|