Step |
Hyp |
Ref |
Expression |
1 |
|
lo1f |
|
2 |
|
lo1bdd |
|
3 |
1 2
|
mpdan |
|
4 |
|
inss1 |
|
5 |
|
ssralv |
|
6 |
4 5
|
ax-mp |
|
7 |
|
elinel2 |
|
8 |
7
|
fvresd |
|
9 |
8
|
breq1d |
|
10 |
9
|
imbi2d |
|
11 |
10
|
ralbiia |
|
12 |
6 11
|
sylibr |
|
13 |
12
|
reximi |
|
14 |
13
|
reximi |
|
15 |
3 14
|
syl |
|
16 |
|
fssres |
|
17 |
1 4 16
|
sylancl |
|
18 |
|
resres |
|
19 |
|
ffn |
|
20 |
|
fnresdm |
|
21 |
1 19 20
|
3syl |
|
22 |
21
|
reseq1d |
|
23 |
18 22
|
syl5eqr |
|
24 |
23
|
feq1d |
|
25 |
17 24
|
mpbid |
|
26 |
|
lo1dm |
|
27 |
4 26
|
sstrid |
|
28 |
|
ello12 |
|
29 |
25 27 28
|
syl2anc |
|
30 |
15 29
|
mpbird |
|