Step |
Hyp |
Ref |
Expression |
1 |
|
tpex |
|
2 |
1
|
a1i |
|
3 |
|
simpl |
|
4 |
|
df-tp |
|
5 |
|
simpr1 |
|
6 |
|
simpr2 |
|
7 |
5 6
|
prssd |
|
8 |
|
simpr3 |
|
9 |
8
|
snssd |
|
10 |
7 9
|
unssd |
|
11 |
4 10
|
eqsstrid |
|
12 |
5
|
tpnzd |
|
13 |
|
fri |
|
14 |
2 3 11 12 13
|
syl22anc |
|
15 |
|
breq2 |
|
16 |
15
|
notbid |
|
17 |
16
|
ralbidv |
|
18 |
|
breq2 |
|
19 |
18
|
notbid |
|
20 |
19
|
ralbidv |
|
21 |
|
breq2 |
|
22 |
21
|
notbid |
|
23 |
22
|
ralbidv |
|
24 |
17 20 23
|
rextpg |
|
25 |
24
|
adantl |
|
26 |
14 25
|
mpbid |
|
27 |
|
snsstp3 |
|
28 |
|
snssg |
|
29 |
8 28
|
syl |
|
30 |
27 29
|
mpbiri |
|
31 |
|
breq1 |
|
32 |
31
|
notbid |
|
33 |
32
|
rspcv |
|
34 |
30 33
|
syl |
|
35 |
|
snsstp1 |
|
36 |
|
snssg |
|
37 |
5 36
|
syl |
|
38 |
35 37
|
mpbiri |
|
39 |
|
breq1 |
|
40 |
39
|
notbid |
|
41 |
40
|
rspcv |
|
42 |
38 41
|
syl |
|
43 |
|
snsstp2 |
|
44 |
|
snssg |
|
45 |
6 44
|
syl |
|
46 |
43 45
|
mpbiri |
|
47 |
|
breq1 |
|
48 |
47
|
notbid |
|
49 |
48
|
rspcv |
|
50 |
46 49
|
syl |
|
51 |
34 42 50
|
3orim123d |
|
52 |
26 51
|
mpd |
|
53 |
|
3ianor |
|
54 |
52 53
|
sylibr |
|
55 |
|
3anrot |
|
56 |
54 55
|
sylnib |
|