Step |
Hyp |
Ref |
Expression |
1 |
|
gexcl.1 |
|
2 |
|
gexcl.2 |
|
3 |
|
gexid.3 |
|
4 |
|
gexid.4 |
|
5 |
|
oveq1 |
|
6 |
5
|
eqeq1d |
|
7 |
6
|
ralbidv |
|
8 |
7
|
elrab |
|
9 |
|
eqid |
|
10 |
1 3 4 2 9
|
gexval |
|
11 |
|
ne0i |
|
12 |
|
ifnefalse |
|
13 |
11 12
|
syl |
|
14 |
10 13
|
sylan9eq |
|
15 |
|
ssrab2 |
|
16 |
|
nnuz |
|
17 |
15 16
|
sseqtri |
|
18 |
11
|
adantl |
|
19 |
|
infssuzcl |
|
20 |
17 18 19
|
sylancr |
|
21 |
15 20
|
sseldi |
|
22 |
|
infssuzle |
|
23 |
17 22
|
mpan |
|
24 |
23
|
adantl |
|
25 |
|
elrabi |
|
26 |
25
|
nnzd |
|
27 |
|
fznn |
|
28 |
26 27
|
syl |
|
29 |
28
|
adantl |
|
30 |
21 24 29
|
mpbir2and |
|
31 |
14 30
|
eqeltrd |
|
32 |
8 31
|
sylan2br |
|
33 |
32
|
3impb |
|