Step |
Hyp |
Ref |
Expression |
1 |
|
dvresntr.s |
|
2 |
|
dvresntr.x |
|
3 |
|
dvresntr.f |
|
4 |
|
dvresntr.j |
|
5 |
|
dvresntr.k |
|
6 |
|
dvresntr.i |
|
7 |
5 4
|
dvres |
|
8 |
1 3 2 2 7
|
syl22anc |
|
9 |
|
ffn |
|
10 |
|
fnresdm |
|
11 |
3 9 10
|
3syl |
|
12 |
11
|
oveq2d |
|
13 |
5
|
cnfldtopon |
|
14 |
|
resttopon |
|
15 |
13 1 14
|
sylancr |
|
16 |
4 15
|
eqeltrid |
|
17 |
|
topontop |
|
18 |
16 17
|
syl |
|
19 |
|
toponuni |
|
20 |
16 19
|
syl |
|
21 |
2 20
|
sseqtrd |
|
22 |
|
eqid |
|
23 |
22
|
ntridm |
|
24 |
18 21 23
|
syl2anc |
|
25 |
6
|
fveq2d |
|
26 |
24 25 6
|
3eqtr3d |
|
27 |
26
|
reseq2d |
|
28 |
22
|
ntrss2 |
|
29 |
18 21 28
|
syl2anc |
|
30 |
6 29
|
eqsstrrd |
|
31 |
30 2
|
sstrd |
|
32 |
5 4
|
dvres |
|
33 |
1 3 2 31 32
|
syl22anc |
|
34 |
6
|
reseq2d |
|
35 |
27 33 34
|
3eqtr4rd |
|
36 |
8 12 35
|
3eqtr3d |
|