Step |
Hyp |
Ref |
Expression |
1 |
|
elicc1 |
|
2 |
|
simp1 |
|
3 |
2
|
a1i |
|
4 |
|
xrletr |
|
5 |
4
|
exp5o |
|
6 |
5
|
com23 |
|
7 |
6
|
imp5q |
|
8 |
|
df-ne |
|
9 |
|
xrleltne |
|
10 |
9
|
biimprd |
|
11 |
8 10
|
syl5bir |
|
12 |
11
|
3adant3r3 |
|
13 |
12
|
adantlr |
|
14 |
|
eqcom |
|
15 |
14
|
necon3bbii |
|
16 |
|
xrleltne |
|
17 |
16
|
biimprd |
|
18 |
15 17
|
syl5bi |
|
19 |
18
|
3exp |
|
20 |
19
|
com12 |
|
21 |
20
|
imp32 |
|
22 |
21
|
3adantr2 |
|
23 |
22
|
adantll |
|
24 |
13 23
|
anim12d |
|
25 |
24
|
ex |
|
26 |
|
df-or |
|
27 |
|
3orass |
|
28 |
|
pm5.6 |
|
29 |
|
orcom |
|
30 |
29
|
imbi2i |
|
31 |
28 30
|
bitri |
|
32 |
26 27 31
|
3bitr4ri |
|
33 |
25 32
|
syl6ib |
|
34 |
3 7 33
|
3jcad |
|
35 |
|
simp1 |
|
36 |
35
|
a1i |
|
37 |
|
xrleid |
|
38 |
37
|
ad3antrrr |
|
39 |
|
breq2 |
|
40 |
38 39
|
syl5ibrcom |
|
41 |
|
xrltle |
|
42 |
41
|
adantr |
|
43 |
42
|
adantllr |
|
44 |
43
|
adantrd |
|
45 |
|
simpr |
|
46 |
|
breq2 |
|
47 |
45 46
|
syl5ibrcom |
|
48 |
40 44 47
|
3jaod |
|
49 |
48
|
exp31 |
|
50 |
49
|
3impd |
|
51 |
|
breq1 |
|
52 |
45 51
|
syl5ibrcom |
|
53 |
|
xrltle |
|
54 |
53
|
ancoms |
|
55 |
54
|
adantld |
|
56 |
55
|
adantll |
|
57 |
56
|
adantr |
|
58 |
|
xrleid |
|
59 |
58
|
ad3antlr |
|
60 |
|
breq1 |
|
61 |
59 60
|
syl5ibrcom |
|
62 |
52 57 61
|
3jaod |
|
63 |
62
|
exp31 |
|
64 |
63
|
3impd |
|
65 |
36 50 64
|
3jcad |
|
66 |
34 65
|
impbid |
|
67 |
1 66
|
bitrd |
|