Step |
Hyp |
Ref |
Expression |
1 |
|
cshwrepswhash1.m |
|
2 |
|
0ex |
|
3 |
|
eleq1 |
|
4 |
2 3
|
mpbiri |
|
5 |
|
hasheq0 |
|
6 |
5
|
bicomd |
|
7 |
4 6
|
syl |
|
8 |
7
|
ibi |
|
9 |
8
|
oveq2d |
|
10 |
|
fzo0 |
|
11 |
9 10
|
eqtrdi |
|
12 |
11
|
rexeqdv |
|
13 |
12
|
rabbidv |
|
14 |
|
rex0 |
|
15 |
14
|
a1i |
|
16 |
15
|
ralrimivw |
|
17 |
|
rabeq0 |
|
18 |
16 17
|
sylibr |
|
19 |
13 18
|
eqtrd |
|
20 |
1 19
|
syl5eq |
|
21 |
20
|
fveq2d |
|
22 |
|
hash0 |
|
23 |
21 22
|
eqtrdi |
|