Step |
Hyp |
Ref |
Expression |
1 |
|
modelaxreplem.1 |
|
2 |
|
modelaxreplem.2 |
|
3 |
|
modelaxreplem.3 |
|
4 |
|
modelaxreplem.4 |
|
5 |
|
modelaxreplem1.5 |
|
6 |
|
eleq1 |
|
7 |
3 6
|
syl5ibrcom |
|
8 |
|
vex |
|
9 |
8 5
|
ssexi |
|
10 |
9
|
0sdom |
|
11 |
|
ssdomg |
|
12 |
8 5 11
|
mp2 |
|
13 |
|
fodomr |
|
14 |
12 13
|
mpan2 |
|
15 |
10 14
|
sylbir |
|
16 |
|
df-fo |
|
17 |
|
df-fn |
|
18 |
|
eleq1 |
|
19 |
4 18
|
syl5ibrcom |
|
20 |
19
|
anim2d |
|
21 |
17 20
|
biimtrid |
|
22 |
5 1
|
sstrid |
|
23 |
|
sseq1 |
|
24 |
22 23
|
syl5ibrcom |
|
25 |
|
df-3an |
|
26 |
|
funeq |
|
27 |
|
dmeq |
|
28 |
27
|
eleq1d |
|
29 |
|
rneq |
|
30 |
29
|
sseq1d |
|
31 |
26 28 30
|
3anbi123d |
|
32 |
29
|
eleq1d |
|
33 |
31 32
|
imbi12d |
|
34 |
33
|
spvv |
|
35 |
2 34
|
syl |
|
36 |
25 35
|
biimtrrid |
|
37 |
21 24 36
|
syl2and |
|
38 |
|
eleq1 |
|
39 |
38
|
adantl |
|
40 |
37 39
|
mpbidi |
|
41 |
16 40
|
biimtrid |
|
42 |
41
|
exlimdv |
|
43 |
15 42
|
syl5 |
|
44 |
7 43
|
pm2.61dne |
|