| Step |
Hyp |
Ref |
Expression |
| 1 |
|
ismhp.h |
|
| 2 |
|
ismhp.p |
|
| 3 |
|
ismhp.b |
|
| 4 |
|
ismhp.0 |
|
| 5 |
|
ismhp.d |
|
| 6 |
|
ismhp.n |
|
| 7 |
|
ismhp2.1 |
|
| 8 |
1 2 3 4 5 6
|
ismhp |
|
| 9 |
7
|
biantrurd |
|
| 10 |
|
eqid |
|
| 11 |
2 10 3 5 7
|
mplelf |
|
| 12 |
11
|
ffnd |
|
| 13 |
4
|
fvexi |
|
| 14 |
13
|
a1i |
|
| 15 |
|
elsuppfng |
|
| 16 |
12 7 14 15
|
syl3anc |
|
| 17 |
|
oveq2 |
|
| 18 |
17
|
eqeq1d |
|
| 19 |
18
|
elrab |
|
| 20 |
19
|
a1i |
|
| 21 |
16 20
|
imbi12d |
|
| 22 |
|
imdistan |
|
| 23 |
21 22
|
bitr4di |
|
| 24 |
23
|
albidv |
|
| 25 |
|
df-ss |
|
| 26 |
|
df-ral |
|
| 27 |
24 25 26
|
3bitr4g |
|
| 28 |
8 9 27
|
3bitr2d |
|