Step |
Hyp |
Ref |
Expression |
1 |
|
psrbag.d |
|
2 |
|
nn0addcl |
|
3 |
2
|
adantl |
|
4 |
|
simp2 |
|
5 |
1
|
psrbag |
|
6 |
5
|
3ad2ant1 |
|
7 |
4 6
|
mpbid |
|
8 |
7
|
simpld |
|
9 |
|
simp3 |
|
10 |
1
|
psrbag |
|
11 |
10
|
3ad2ant1 |
|
12 |
9 11
|
mpbid |
|
13 |
12
|
simpld |
|
14 |
|
simp1 |
|
15 |
|
inidm |
|
16 |
3 8 13 14 14 15
|
off |
|
17 |
|
frnnn0supp |
|
18 |
14 16 17
|
syl2anc |
|
19 |
|
fvexd |
|
20 |
|
fvexd |
|
21 |
8
|
feqmptd |
|
22 |
13
|
feqmptd |
|
23 |
14 19 20 21 22
|
offval2 |
|
24 |
23
|
oveq1d |
|
25 |
18 24
|
eqtr3d |
|
26 |
|
frnnn0supp |
|
27 |
14 8 26
|
syl2anc |
|
28 |
7
|
simprd |
|
29 |
27 28
|
eqeltrd |
|
30 |
|
frnnn0supp |
|
31 |
14 13 30
|
syl2anc |
|
32 |
12
|
simprd |
|
33 |
31 32
|
eqeltrd |
|
34 |
|
unfi |
|
35 |
29 33 34
|
syl2anc |
|
36 |
|
ssun1 |
|
37 |
36
|
a1i |
|
38 |
|
c0ex |
|
39 |
38
|
a1i |
|
40 |
8 37 14 39
|
suppssr |
|
41 |
|
ssun2 |
|
42 |
41
|
a1i |
|
43 |
13 42 14 39
|
suppssr |
|
44 |
40 43
|
oveq12d |
|
45 |
|
00id |
|
46 |
44 45
|
eqtrdi |
|
47 |
46 14
|
suppss2 |
|
48 |
35 47
|
ssfid |
|
49 |
25 48
|
eqeltrd |
|
50 |
1
|
psrbag |
|
51 |
50
|
3ad2ant1 |
|
52 |
16 49 51
|
mpbir2and |
|