Step |
Hyp |
Ref |
Expression |
1 |
|
hbra1 |
|
2 |
|
alrim3con13v |
|
3 |
1 2
|
e0a |
|
4 |
|
ax-5 |
|
5 |
|
hbra1 |
|
6 |
4 5
|
hbral |
|
7 |
|
alrim3con13v |
|
8 |
6 7
|
e0a |
|
9 |
|
idn2 |
|
10 |
|
simpl |
|
11 |
9 10
|
e2 |
|
12 |
|
simpr |
|
13 |
9 12
|
e2 |
|
14 |
|
idn3 |
|
15 |
|
pm3.2an3 |
|
16 |
11 13 14 15
|
e223 |
|
17 |
16
|
in3 |
|
18 |
|
en3lp |
|
19 |
|
con3 |
|
20 |
17 18 19
|
e20 |
|
21 |
|
idn3 |
|
22 |
|
eleq2 |
|
23 |
22
|
biimprcd |
|
24 |
13 21 23
|
e23 |
|
25 |
|
pm3.2 |
|
26 |
11 24 25
|
e23 |
|
27 |
26
|
in3 |
|
28 |
|
en2lp |
|
29 |
|
con3 |
|
30 |
27 28 29
|
e20 |
|
31 |
|
idn1 |
|
32 |
|
simp3 |
|
33 |
31 32
|
e1a |
|
34 |
|
simp2 |
|
35 |
31 34
|
e1a |
|
36 |
|
ralcom |
|
37 |
36
|
biimpi |
|
38 |
35 37
|
e1a |
|
39 |
|
simp1 |
|
40 |
31 39
|
e1a |
|
41 |
|
trel |
|
42 |
41
|
expd |
|
43 |
40 13 33 42
|
e121 |
|
44 |
|
trel |
|
45 |
44
|
expd |
|
46 |
40 11 43 45
|
e122 |
|
47 |
|
rspsbc2 |
|
48 |
47
|
com13 |
|
49 |
38 46 33 48
|
e121 |
|
50 |
|
equid |
|
51 |
|
sbceq2a |
|
52 |
50 51
|
ax-mp |
|
53 |
52
|
biimpi |
|
54 |
49 53
|
e2 |
|
55 |
|
sbcoreleleq |
|
56 |
55
|
biimpd |
|
57 |
33 54 56
|
e12 |
|
58 |
|
3ornot23 |
|
59 |
58
|
ex |
|
60 |
20 30 57 59
|
e222 |
|
61 |
60
|
in2 |
|
62 |
8 61
|
gen11nv |
|
63 |
3 62
|
gen11nv |
|
64 |
|
dftr2 |
|
65 |
64
|
biimpri |
|
66 |
63 65
|
e1a |
|
67 |
66
|
in1 |
|