Step |
Hyp |
Ref |
Expression |
1 |
|
evthicc.1 |
|
2 |
|
evthicc.2 |
|
3 |
|
evthicc.3 |
|
4 |
|
evthicc.4 |
|
5 |
1 2 3 4
|
evthicc |
|
6 |
|
reeanv |
|
7 |
5 6
|
sylibr |
|
8 |
|
r19.26 |
|
9 |
4
|
adantr |
|
10 |
|
cncff |
|
11 |
9 10
|
syl |
|
12 |
|
simprr |
|
13 |
11 12
|
ffvelrnd |
|
14 |
13
|
adantr |
|
15 |
|
simprl |
|
16 |
11 15
|
ffvelrnd |
|
17 |
16
|
adantr |
|
18 |
11
|
adantr |
|
19 |
18
|
ffnd |
|
20 |
16
|
adantr |
|
21 |
|
elicc2 |
|
22 |
13 20 21
|
syl2an2r |
|
23 |
|
3anass |
|
24 |
22 23
|
bitrdi |
|
25 |
|
ancom |
|
26 |
11
|
ffvelrnda |
|
27 |
26
|
biantrurd |
|
28 |
25 27
|
syl5bb |
|
29 |
24 28
|
bitr4d |
|
30 |
29
|
ralbidva |
|
31 |
30
|
biimpar |
|
32 |
|
ffnfv |
|
33 |
19 31 32
|
sylanbrc |
|
34 |
33
|
frnd |
|
35 |
1
|
adantr |
|
36 |
2
|
adantr |
|
37 |
|
ssidd |
|
38 |
|
ax-resscn |
|
39 |
|
ssid |
|
40 |
|
cncfss |
|
41 |
38 39 40
|
mp2an |
|
42 |
41 9
|
sseldi |
|
43 |
11
|
ffvelrnda |
|
44 |
35 36 12 15 37 42 43
|
ivthicc |
|
45 |
44
|
adantr |
|
46 |
34 45
|
eqssd |
|
47 |
|
rspceov |
|
48 |
14 17 46 47
|
syl3anc |
|
49 |
48
|
ex |
|
50 |
8 49
|
syl5bir |
|
51 |
50
|
rexlimdvva |
|
52 |
7 51
|
mpd |
|