Step |
Hyp |
Ref |
Expression |
1 |
|
h2hc.1 |
|
2 |
|
h2hc.2 |
|
3 |
|
h2hc.3 |
|
4 |
|
h2hc.4 |
|
5 |
|
df-rab |
|
6 |
|
df-hcau |
|
7 |
|
elin |
|
8 |
|
ancom |
|
9 |
3
|
hlex |
|
10 |
|
nnex |
|
11 |
9 10
|
elmap |
|
12 |
|
nnuz |
|
13 |
3 4
|
imsxmet |
|
14 |
2 13
|
mp1i |
|
15 |
|
1zzd |
|
16 |
|
eqidd |
|
17 |
|
eqidd |
|
18 |
|
id |
|
19 |
12 14 15 16 17 18
|
iscauf |
|
20 |
|
ffvelrn |
|
21 |
20
|
adantr |
|
22 |
|
eluznn |
|
23 |
|
ffvelrn |
|
24 |
22 23
|
sylan2 |
|
25 |
24
|
anassrs |
|
26 |
1 2 3 4
|
h2hmetdval |
|
27 |
21 25 26
|
syl2anc |
|
28 |
27
|
breq1d |
|
29 |
28
|
ralbidva |
|
30 |
29
|
rexbidva |
|
31 |
30
|
ralbidv |
|
32 |
19 31
|
bitrd |
|
33 |
11 32
|
sylbi |
|
34 |
33
|
pm5.32i |
|
35 |
7 8 34
|
3bitri |
|
36 |
35
|
abbi2i |
|
37 |
5 6 36
|
3eqtr4i |
|