Step |
Hyp |
Ref |
Expression |
1 |
|
nosupinfsep.1 |
|
2 |
|
nosupinfsep.2 |
|
3 |
|
ssun1 |
|
4 |
|
resabs1 |
|
5 |
3 4
|
ax-mp |
|
6 |
5
|
breq1i |
|
7 |
6
|
notbii |
|
8 |
|
ssun2 |
|
9 |
|
resabs1 |
|
10 |
8 9
|
ax-mp |
|
11 |
10
|
breq2i |
|
12 |
11
|
notbii |
|
13 |
7 12
|
anbi12i |
|
14 |
13
|
bicomi |
|
15 |
14
|
a1i |
|
16 |
|
simp1l |
|
17 |
|
simp1r |
|
18 |
|
simp3 |
|
19 |
1
|
nosupbnd2 |
|
20 |
16 17 18 19
|
syl3anc |
|
21 |
|
simp2l |
|
22 |
|
simp2r |
|
23 |
2
|
noinfbnd2 |
|
24 |
21 22 18 23
|
syl3anc |
|
25 |
20 24
|
anbi12d |
|
26 |
1
|
nosupno |
|
27 |
|
nodmon |
|
28 |
26 27
|
syl |
|
29 |
28
|
3ad2ant1 |
|
30 |
2
|
noinfno |
|
31 |
|
nodmon |
|
32 |
30 31
|
syl |
|
33 |
32
|
3ad2ant2 |
|
34 |
|
onun2 |
|
35 |
29 33 34
|
syl2anc |
|
36 |
|
noreson |
|
37 |
18 35 36
|
syl2anc |
|
38 |
1
|
nosupbnd2 |
|
39 |
16 17 37 38
|
syl3anc |
|
40 |
21 22 37
|
3jca |
|
41 |
2
|
noinfbnd2 |
|
42 |
40 41
|
syl |
|
43 |
39 42
|
anbi12d |
|
44 |
15 25 43
|
3bitr4d |
|