Step |
Hyp |
Ref |
Expression |
1 |
|
sigar |
|
2 |
|
simp1 |
|
3 |
|
simp2 |
|
4 |
|
simp3 |
|
5 |
3 4
|
subcld |
|
6 |
1
|
sigarac |
|
7 |
2 5 6
|
syl2anc |
|
8 |
1
|
sigarmf |
|
9 |
8
|
negeqd |
|
10 |
9
|
3com12 |
|
11 |
|
3simpa |
|
12 |
11
|
ancomd |
|
13 |
1
|
sigarim |
|
14 |
12 13
|
syl |
|
15 |
14
|
recnd |
|
16 |
|
3simpb |
|
17 |
16
|
ancomd |
|
18 |
1
|
sigarim |
|
19 |
17 18
|
syl |
|
20 |
19
|
recnd |
|
21 |
|
negsubdi |
|
22 |
|
simpl |
|
23 |
22
|
negcld |
|
24 |
|
simpr |
|
25 |
23 24
|
subnegd |
|
26 |
21 25
|
eqtr4d |
|
27 |
15 20 26
|
syl2anc |
|
28 |
10 27
|
eqtrd |
|
29 |
1
|
sigarac |
|
30 |
2 3 29
|
syl2anc |
|
31 |
30
|
eqcomd |
|
32 |
1
|
sigarac |
|
33 |
2 4 32
|
syl2anc |
|
34 |
33
|
eqcomd |
|
35 |
31 34
|
oveq12d |
|
36 |
7 28 35
|
3eqtrd |
|