Step |
Hyp |
Ref |
Expression |
1 |
|
evthiccabs.a |
|
2 |
|
evthiccabs.b |
|
3 |
|
evthiccabs.aleb |
|
4 |
|
evthiccabs.f |
|
5 |
|
ax-resscn |
|
6 |
|
ssid |
|
7 |
|
cncfss |
|
8 |
5 6 7
|
mp2an |
|
9 |
8 4
|
sseldi |
|
10 |
|
abscncf |
|
11 |
10
|
a1i |
|
12 |
9 11
|
cncfco |
|
13 |
1 2 3 12
|
evthicc |
|
14 |
13
|
simpld |
|
15 |
|
cncff |
|
16 |
|
ffun |
|
17 |
4 15 16
|
3syl |
|
18 |
17
|
adantr |
|
19 |
|
simpr |
|
20 |
|
fdm |
|
21 |
4 15 20
|
3syl |
|
22 |
21
|
eqcomd |
|
23 |
22
|
adantr |
|
24 |
19 23
|
eleqtrd |
|
25 |
|
fvco |
|
26 |
18 24 25
|
syl2anc |
|
27 |
26
|
adantlr |
|
28 |
17
|
adantr |
|
29 |
|
simpr |
|
30 |
22
|
adantr |
|
31 |
29 30
|
eleqtrd |
|
32 |
|
fvco |
|
33 |
28 31 32
|
syl2anc |
|
34 |
33
|
adantr |
|
35 |
27 34
|
breq12d |
|
36 |
35
|
ralbidva |
|
37 |
36
|
rexbidva |
|
38 |
14 37
|
mpbid |
|
39 |
13
|
simprd |
|
40 |
17
|
adantr |
|
41 |
|
simpr |
|
42 |
22
|
adantr |
|
43 |
41 42
|
eleqtrd |
|
44 |
|
fvco |
|
45 |
40 43 44
|
syl2anc |
|
46 |
45
|
adantr |
|
47 |
17
|
adantr |
|
48 |
|
simpr |
|
49 |
22
|
adantr |
|
50 |
48 49
|
eleqtrd |
|
51 |
|
fvco |
|
52 |
47 50 51
|
syl2anc |
|
53 |
52
|
adantlr |
|
54 |
46 53
|
breq12d |
|
55 |
54
|
ralbidva |
|
56 |
55
|
rexbidva |
|
57 |
39 56
|
mpbid |
|
58 |
38 57
|
jca |
|