| Step |
Hyp |
Ref |
Expression |
| 1 |
|
modelaxrep.1 |
|
| 2 |
|
modelaxrep.2 |
|
| 3 |
|
modelaxrep.3 |
|
| 4 |
|
funeq |
|
| 5 |
|
dmeq |
|
| 6 |
5
|
eleq1d |
|
| 7 |
|
rneq |
|
| 8 |
7
|
sseq1d |
|
| 9 |
4 6 8
|
3anbi123d |
|
| 10 |
7
|
eleq1d |
|
| 11 |
9 10
|
imbi12d |
|
| 12 |
11
|
cbvalvw |
|
| 13 |
2 12
|
sylib |
|
| 14 |
|
trss |
|
| 15 |
14
|
imp |
|
| 16 |
15
|
ad5ant14 |
|
| 17 |
|
simp-4r |
|
| 18 |
|
simpllr |
|
| 19 |
|
simplr |
|
| 20 |
|
nfv |
|
| 21 |
|
nfra1 |
|
| 22 |
20 21
|
nfan |
|
| 23 |
|
nfv |
|
| 24 |
|
nfcv |
|
| 25 |
|
nfra1 |
|
| 26 |
24 25
|
nfrexw |
|
| 27 |
24 26
|
nfralw |
|
| 28 |
23 27
|
nfan |
|
| 29 |
|
nfopab2 |
|
| 30 |
|
eqid |
|
| 31 |
|
rsp |
|
| 32 |
31
|
adantl |
|
| 33 |
16 17 18 19 22 28 29 30 32
|
modelaxreplem3 |
|
| 34 |
33
|
ex |
|
| 35 |
34
|
ralrimiva |
|
| 36 |
1 13 3 35
|
syl21anc |
|