Step |
Hyp |
Ref |
Expression |
1 |
|
supiso.1 |
|
2 |
|
supiso.2 |
|
3 |
1 2
|
jca |
|
4 |
|
simpll |
|
5 |
4
|
adantr |
|
6 |
|
simplr |
|
7 |
|
simplr |
|
8 |
7
|
sselda |
|
9 |
|
isorel |
|
10 |
5 6 8 9
|
syl12anc |
|
11 |
10
|
notbid |
|
12 |
11
|
ralbidva |
|
13 |
|
isof1o |
|
14 |
4 13
|
syl |
|
15 |
|
f1ofn |
|
16 |
14 15
|
syl |
|
17 |
|
breq2 |
|
18 |
17
|
notbid |
|
19 |
18
|
ralima |
|
20 |
16 7 19
|
syl2anc |
|
21 |
12 20
|
bitr4d |
|
22 |
4
|
adantr |
|
23 |
|
simpr |
|
24 |
|
simplr |
|
25 |
|
isorel |
|
26 |
22 23 24 25
|
syl12anc |
|
27 |
22
|
adantr |
|
28 |
|
simplr |
|
29 |
7
|
adantr |
|
30 |
29
|
sselda |
|
31 |
|
isorel |
|
32 |
27 28 30 31
|
syl12anc |
|
33 |
32
|
rexbidva |
|
34 |
16
|
adantr |
|
35 |
|
breq2 |
|
36 |
35
|
rexima |
|
37 |
34 29 36
|
syl2anc |
|
38 |
33 37
|
bitr4d |
|
39 |
26 38
|
imbi12d |
|
40 |
39
|
ralbidva |
|
41 |
|
f1ofo |
|
42 |
|
breq1 |
|
43 |
|
breq1 |
|
44 |
43
|
rexbidv |
|
45 |
42 44
|
imbi12d |
|
46 |
45
|
cbvfo |
|
47 |
14 41 46
|
3syl |
|
48 |
40 47
|
bitrd |
|
49 |
21 48
|
anbi12d |
|
50 |
3 49
|
sylan |
|