Step |
Hyp |
Ref |
Expression |
1 |
|
chordthmALT.angdef |
|
2 |
|
chordthmALT.A |
|
3 |
|
chordthmALT.B |
|
4 |
|
chordthmALT.C |
|
5 |
|
chordthmALT.D |
|
6 |
|
chordthmALT.P |
|
7 |
|
chordthmALT.AneP |
|
8 |
|
chordthmALT.BneP |
|
9 |
|
chordthmALT.CneP |
|
10 |
|
chordthmALT.DneP |
|
11 |
|
chordthmALT.APB |
|
12 |
|
chordthmALT.CPD |
|
13 |
|
chordthmALT.Q |
|
14 |
|
chordthmALT.ABcirc |
|
15 |
|
chordthmALT.ACcirc |
|
16 |
|
chordthmALT.ADcirc |
|
17 |
10
|
necomd |
|
18 |
1 4 6 5 9 17
|
angpieqvd |
|
19 |
12 18
|
mpbid |
|
20 |
|
df-rex |
|
21 |
20
|
biimpi |
|
22 |
19 21
|
syl |
|
23 |
8
|
necomd |
|
24 |
1 2 6 3 7 23
|
angpieqvd |
|
25 |
11 24
|
mpbid |
|
26 |
|
df-rex |
|
27 |
26
|
biimpi |
|
28 |
25 27
|
syl |
|
29 |
28
|
adantr |
|
30 |
14 16
|
eqtr3d |
|
31 |
30
|
oveq1d |
|
32 |
31
|
oveq1d |
|
33 |
32
|
3ad2ant1 |
|
34 |
2
|
3ad2ant1 |
|
35 |
3
|
3ad2ant1 |
|
36 |
13
|
3ad2ant1 |
|
37 |
|
ioossicc |
|
38 |
|
id |
|
39 |
37 38
|
sseldi |
|
40 |
39
|
3ad2ant2 |
|
41 |
|
id |
|
42 |
41
|
3ad2ant3 |
|
43 |
14
|
3ad2ant1 |
|
44 |
34 35 36 40 42 43
|
chordthmlem5 |
|
45 |
44
|
3expb |
|
46 |
45
|
3adant2 |
|
47 |
4
|
3ad2ant1 |
|
48 |
5
|
3ad2ant1 |
|
49 |
13
|
3ad2ant1 |
|
50 |
|
id |
|
51 |
37 50
|
sseldi |
|
52 |
51
|
3ad2ant2 |
|
53 |
|
id |
|
54 |
53
|
3ad2ant3 |
|
55 |
15 16
|
eqtr3d |
|
56 |
55
|
3ad2ant1 |
|
57 |
47 48 49 52 54 56
|
chordthmlem5 |
|
58 |
57
|
3expb |
|
59 |
58
|
3adant3 |
|
60 |
33 46 59
|
3eqtr4d |
|
61 |
60
|
3expia |
|
62 |
61
|
exlimdv |
|
63 |
29 62
|
mpd |
|
64 |
63
|
ex |
|
65 |
64
|
exlimdv |
|
66 |
22 65
|
mpd |
|