Step |
Hyp |
Ref |
Expression |
1 |
|
dvle2.1 |
|
2 |
|
dvle2.2 |
|
3 |
|
dvle2.3 |
|
4 |
|
dvle2.4 |
|
5 |
|
dvle2.5 |
|
6 |
|
dvle2.6 |
|
7 |
|
dvle2.7 |
|
8 |
|
dvle2.8 |
|
9 |
|
dvle2.9 |
|
10 |
|
dvle2.10 |
|
11 |
|
dvle2.11 |
|
12 |
|
dvle2.12 |
|
13 |
|
dvle2.13 |
|
14 |
10
|
eleq1d |
|
15 |
|
cncff |
|
16 |
3 15
|
syl |
|
17 |
|
eqid |
|
18 |
17
|
fmpt |
|
19 |
16 18
|
sylibr |
|
20 |
2
|
rexrd |
|
21 |
2
|
leidd |
|
22 |
20 13 21
|
3jca |
|
23 |
1
|
rexrd |
|
24 |
|
elicc1 |
|
25 |
23 20 24
|
syl2anc |
|
26 |
22 25
|
mpbird |
|
27 |
14 19 26
|
rspcdva |
|
28 |
8
|
eleq1d |
|
29 |
1
|
leidd |
|
30 |
23 29 13
|
3jca |
|
31 |
|
elicc1 |
|
32 |
23 20 31
|
syl2anc |
|
33 |
30 32
|
mpbird |
|
34 |
28 19 33
|
rspcdva |
|
35 |
27 34
|
resubcld |
|
36 |
11
|
eleq1d |
|
37 |
|
cncff |
|
38 |
4 37
|
syl |
|
39 |
|
eqid |
|
40 |
39
|
fmpt |
|
41 |
38 40
|
sylibr |
|
42 |
36 41 26
|
rspcdva |
|
43 |
9
|
eleq1d |
|
44 |
43 41 33
|
rspcdva |
|
45 |
42 44
|
resubcld |
|
46 |
1 2 3 5 4 6 7 33 26 13 8 9 10 11
|
dvle |
|
47 |
35 34 45 44 46 12
|
le2addd |
|
48 |
27
|
recnd |
|
49 |
34
|
recnd |
|
50 |
48 49
|
npcand |
|
51 |
42
|
recnd |
|
52 |
44
|
recnd |
|
53 |
51 52
|
npcand |
|
54 |
50 53
|
breq12d |
|
55 |
47 54
|
mpbid |
|