Step |
Hyp |
Ref |
Expression |
1 |
|
frege124d.f |
|
2 |
|
frege124d.x |
|
3 |
|
frege124d.a |
|
4 |
|
frege124d.xb |
|
5 |
|
frege124d.fun |
|
6 |
3
|
eqcomd |
|
7 |
|
funbrfvb |
|
8 |
5 2 7
|
syl2anc |
|
9 |
6 8
|
mpbid |
|
10 |
|
funeu |
|
11 |
5 9 10
|
syl2anc |
|
12 |
|
fvex |
|
13 |
3 12
|
eqeltrdi |
|
14 |
|
sbcan |
|
15 |
|
sbcbr2g |
|
16 |
|
csbvarg |
|
17 |
16
|
breq2d |
|
18 |
15 17
|
bitrd |
|
19 |
|
sbcng |
|
20 |
|
sbcbr1g |
|
21 |
16
|
breq1d |
|
22 |
20 21
|
bitrd |
|
23 |
22
|
notbid |
|
24 |
19 23
|
bitrd |
|
25 |
18 24
|
anbi12d |
|
26 |
14 25
|
syl5bb |
|
27 |
13 26
|
syl |
|
28 |
|
spesbc |
|
29 |
27 28
|
syl6bir |
|
30 |
9 29
|
mpand |
|
31 |
|
eupicka |
|
32 |
11 30 31
|
syl6an |
|
33 |
|
alinexa |
|
34 |
|
funrel |
|
35 |
5 34
|
syl |
|
36 |
|
reltrclfv |
|
37 |
1 35 36
|
syl2anc |
|
38 |
|
brrelex2 |
|
39 |
37 4 38
|
syl2anc |
|
40 |
|
brcog |
|
41 |
2 39 40
|
syl2anc |
|
42 |
41
|
notbid |
|
43 |
33 42
|
bitr4id |
|
44 |
32 43
|
sylibd |
|
45 |
|
brdif |
|
46 |
45
|
simplbi2 |
|
47 |
4 44 46
|
sylsyld |
|
48 |
|
trclfvdecomr |
|
49 |
1 48
|
syl |
|
50 |
|
uncom |
|
51 |
49 50
|
eqtrdi |
|
52 |
|
eqimss |
|
53 |
51 52
|
syl |
|
54 |
|
ssundif |
|
55 |
53 54
|
sylib |
|
56 |
55
|
ssbrd |
|
57 |
47 56
|
syld |
|
58 |
|
funbrfv |
|
59 |
5 57 58
|
sylsyld |
|
60 |
|
eqcom |
|
61 |
59 60
|
syl6ib |
|
62 |
|
eqtr3 |
|
63 |
3 61 62
|
syl6an |
|
64 |
63
|
orrd |
|