Step |
Hyp |
Ref |
Expression |
1 |
|
fin23lem.a |
|
2 |
|
fin23lem17.f |
|
3 |
|
fin23lem.b |
|
4 |
|
fin23lem.c |
|
5 |
|
fin23lem.d |
|
6 |
|
fin23lem.e |
|
7 |
1 2 3 4 5 6
|
fin23lem28 |
|
8 |
7
|
ad2antrl |
|
9 |
|
simprl |
|
10 |
|
simpl |
|
11 |
|
simprr |
|
12 |
1 2 3 4 5 6
|
fin23lem31 |
|
13 |
9 10 11 12
|
syl3anc |
|
14 |
|
f1fn |
|
15 |
|
dffn3 |
|
16 |
14 15
|
sylib |
|
17 |
16
|
ad2antrl |
|
18 |
|
sspwuni |
|
19 |
18
|
biimpri |
|
20 |
19
|
ad2antll |
|
21 |
17 20
|
fssd |
|
22 |
|
pwexg |
|
23 |
22
|
adantr |
|
24 |
|
vex |
|
25 |
|
f1f |
|
26 |
|
dmfex |
|
27 |
24 25 26
|
sylancr |
|
28 |
27
|
ad2antrl |
|
29 |
23 28
|
elmapd |
|
30 |
21 29
|
mpbird |
|
31 |
|
f1f |
|
32 |
8 31
|
syl |
|
33 |
|
fex |
|
34 |
32 28 33
|
syl2anc |
|
35 |
|
eqid |
|
36 |
35
|
fvmpt2 |
|
37 |
30 34 36
|
syl2anc |
|
38 |
|
f1eq1 |
|
39 |
|
rneq |
|
40 |
39
|
unieqd |
|
41 |
40
|
psseq1d |
|
42 |
38 41
|
anbi12d |
|
43 |
37 42
|
syl |
|
44 |
8 13 43
|
mpbir2and |
|
45 |
44
|
ex |
|
46 |
45
|
alrimiv |
|
47 |
|
ovex |
|
48 |
47
|
mptex |
|
49 |
|
nfmpt1 |
|
50 |
49
|
nfeq2 |
|
51 |
|
fveq1 |
|
52 |
|
f1eq1 |
|
53 |
51 52
|
syl |
|
54 |
51
|
rneqd |
|
55 |
54
|
unieqd |
|
56 |
55
|
psseq1d |
|
57 |
53 56
|
anbi12d |
|
58 |
57
|
imbi2d |
|
59 |
50 58
|
albid |
|
60 |
48 59
|
spcev |
|
61 |
46 60
|
syl |
|
62 |
|
f1eq1 |
|
63 |
|
rneq |
|
64 |
63
|
unieqd |
|
65 |
64
|
sseq1d |
|
66 |
62 65
|
anbi12d |
|
67 |
|
fveq2 |
|
68 |
|
f1eq1 |
|
69 |
67 68
|
syl |
|
70 |
67
|
rneqd |
|
71 |
70
|
unieqd |
|
72 |
71 64
|
psseq12d |
|
73 |
69 72
|
anbi12d |
|
74 |
66 73
|
imbi12d |
|
75 |
74
|
cbvalvw |
|
76 |
75
|
exbii |
|
77 |
61 76
|
sylibr |
|