Step |
Hyp |
Ref |
Expression |
1 |
|
simplr |
|
2 |
|
simpll |
|
3 |
|
simprr |
|
4 |
|
simprl |
|
5 |
|
slerec |
|
6 |
1 2 3 4 5
|
syl22anc |
|
7 |
|
ancom |
|
8 |
6 7
|
syl6bb |
|
9 |
|
scutcut |
|
10 |
9
|
simp1d |
|
11 |
10
|
ad2antlr |
|
12 |
3 11
|
eqeltrd |
|
13 |
|
scutcut |
|
14 |
13
|
simp1d |
|
15 |
14
|
ad2antrr |
|
16 |
4 15
|
eqeltrd |
|
17 |
|
slenlt |
|
18 |
12 16 17
|
syl2anc |
|
19 |
|
ssltss1 |
|
20 |
19
|
ad2antlr |
|
21 |
20
|
sselda |
|
22 |
16
|
adantr |
|
23 |
|
sltnle |
|
24 |
21 22 23
|
syl2anc |
|
25 |
24
|
ralbidva |
|
26 |
12
|
adantr |
|
27 |
|
ssltss2 |
|
28 |
27
|
ad2antrr |
|
29 |
28
|
sselda |
|
30 |
|
sltnle |
|
31 |
26 29 30
|
syl2anc |
|
32 |
31
|
ralbidva |
|
33 |
25 32
|
anbi12d |
|
34 |
|
ralnex |
|
35 |
|
ralnex |
|
36 |
34 35
|
anbi12i |
|
37 |
|
ioran |
|
38 |
36 37
|
bitr4i |
|
39 |
33 38
|
syl6bb |
|
40 |
8 18 39
|
3bitr3d |
|
41 |
40
|
con4bid |
|