Step |
Hyp |
Ref |
Expression |
1 |
|
rexfrabdioph.1 |
|
2 |
|
rexfrabdioph.2 |
|
3 |
|
rexfrabdioph.3 |
|
4 |
|
sbc2rex |
|
5 |
4
|
sbcbii |
|
6 |
|
sbc2rex |
|
7 |
5 6
|
bitri |
|
8 |
7
|
rabbii |
|
9 |
|
nn0p1nn |
|
10 |
1 9
|
eqeltrid |
|
11 |
10
|
nnnn0d |
|
12 |
11
|
adantr |
|
13 |
|
sbcrot3 |
|
14 |
13
|
sbcbii |
|
15 |
|
sbcrot3 |
|
16 |
14 15
|
bitri |
|
17 |
16
|
sbcbii |
|
18 |
|
reseq1 |
|
19 |
18
|
sbccomieg |
|
20 |
|
fzssp1 |
|
21 |
1
|
oveq2i |
|
22 |
20 21
|
sseqtrri |
|
23 |
|
resabs1 |
|
24 |
|
dfsbcq |
|
25 |
22 23 24
|
mp2b |
|
26 |
|
vex |
|
27 |
26
|
resex |
|
28 |
|
fveq1 |
|
29 |
28
|
sbcco3gw |
|
30 |
27 29
|
ax-mp |
|
31 |
|
elfz1end |
|
32 |
10 31
|
sylib |
|
33 |
|
fvres |
|
34 |
|
dfsbcq |
|
35 |
32 33 34
|
3syl |
|
36 |
30 35
|
syl5bb |
|
37 |
36
|
sbcbidv |
|
38 |
25 37
|
syl5bb |
|
39 |
19 38
|
syl5bb |
|
40 |
17 39
|
bitr3id |
|
41 |
40
|
rabbidv |
|
42 |
41
|
eleq1d |
|
43 |
42
|
biimpar |
|
44 |
2 3
|
2rexfrabdioph |
|
45 |
12 43 44
|
syl2anc |
|
46 |
8 45
|
eqeltrid |
|
47 |
1
|
rexfrabdioph |
|
48 |
46 47
|
syldan |
|