Step |
Hyp |
Ref |
Expression |
1 |
|
rexfrabdioph.1 |
|
2 |
|
rexfrabdioph.2 |
|
3 |
|
rexfrabdioph.3 |
|
4 |
|
rexfrabdioph.4 |
|
5 |
|
rexfrabdioph.5 |
|
6 |
|
rexfrabdioph.6 |
|
7 |
|
rexfrabdioph.7 |
|
8 |
|
sbc2rex |
|
9 |
|
sbc4rex |
|
10 |
9
|
2rexbii |
|
11 |
8 10
|
bitri |
|
12 |
11
|
sbcbii |
|
13 |
|
sbc2rex |
|
14 |
|
sbc4rex |
|
15 |
14
|
2rexbii |
|
16 |
12 13 15
|
3bitri |
|
17 |
16
|
rabbii |
|
18 |
|
nn0p1nn |
|
19 |
1 18
|
eqeltrid |
|
20 |
19
|
nnnn0d |
|
21 |
20
|
adantr |
|
22 |
|
sbcrot3 |
|
23 |
22
|
sbcbii |
|
24 |
|
sbcrot3 |
|
25 |
|
sbcrot5 |
|
26 |
25
|
sbcbii |
|
27 |
|
sbcrot5 |
|
28 |
26 27
|
bitri |
|
29 |
28
|
sbcbii |
|
30 |
29
|
sbcbii |
|
31 |
23 24 30
|
3bitri |
|
32 |
31
|
sbcbii |
|
33 |
|
reseq1 |
|
34 |
33
|
sbccomieg |
|
35 |
|
fzssp1 |
|
36 |
1
|
oveq2i |
|
37 |
35 36
|
sseqtrri |
|
38 |
|
resabs1 |
|
39 |
|
dfsbcq |
|
40 |
37 38 39
|
mp2b |
|
41 |
|
vex |
|
42 |
41
|
resex |
|
43 |
|
fveq1 |
|
44 |
43
|
sbcco3gw |
|
45 |
42 44
|
ax-mp |
|
46 |
|
elfz1end |
|
47 |
19 46
|
sylib |
|
48 |
|
fvres |
|
49 |
|
dfsbcq |
|
50 |
47 48 49
|
3syl |
|
51 |
45 50
|
syl5bb |
|
52 |
51
|
sbcbidv |
|
53 |
40 52
|
syl5bb |
|
54 |
34 53
|
syl5bb |
|
55 |
32 54
|
bitr3id |
|
56 |
55
|
rabbidv |
|
57 |
56
|
eleq1d |
|
58 |
57
|
biimpar |
|
59 |
2 3 4 5 6 7
|
6rexfrabdioph |
|
60 |
21 58 59
|
syl2anc |
|
61 |
17 60
|
eqeltrid |
|
62 |
1
|
rexfrabdioph |
|
63 |
61 62
|
syldan |
|