Step |
Hyp |
Ref |
Expression |
1 |
|
simp2r |
|
2 |
|
elfzelz |
|
3 |
1 2
|
syl |
|
4 |
3
|
zred |
|
5 |
|
simp2l |
|
6 |
5
|
zred |
|
7 |
|
simp1r |
|
8 |
|
elfzel1 |
|
9 |
7 8
|
syl |
|
10 |
9
|
zred |
|
11 |
6 10
|
resubcld |
|
12 |
4 11
|
resubcld |
|
13 |
|
elfzelz |
|
14 |
7 13
|
syl |
|
15 |
14
|
zred |
|
16 |
|
elfzle2 |
|
17 |
1 16
|
syl |
|
18 |
4 6 11 17
|
lesub1dd |
|
19 |
6
|
recnd |
|
20 |
10
|
recnd |
|
21 |
19 20
|
nncand |
|
22 |
18 21
|
breqtrd |
|
23 |
|
elfzle1 |
|
24 |
7 23
|
syl |
|
25 |
12 10 15 22 24
|
letrd |
|
26 |
|
simp1l |
|
27 |
26
|
zred |
|
28 |
4 11
|
readdcld |
|
29 |
|
elfzle2 |
|
30 |
7 29
|
syl |
|
31 |
27 4
|
resubcld |
|
32 |
|
elfzel1 |
|
33 |
1 32
|
syl |
|
34 |
33
|
zred |
|
35 |
27 34
|
resubcld |
|
36 |
|
elfzle1 |
|
37 |
1 36
|
syl |
|
38 |
34 4 27 37
|
lesub2dd |
|
39 |
|
simp3 |
|
40 |
31 35 11 38 39
|
letrd |
|
41 |
27 4 11
|
lesubaddd |
|
42 |
40 41
|
mpbid |
|
43 |
11
|
recnd |
|
44 |
4
|
recnd |
|
45 |
43 44
|
addcomd |
|
46 |
42 45
|
breqtrd |
|
47 |
15 27 28 30 46
|
letrd |
|
48 |
15 4 11
|
absdifled |
|
49 |
25 47 48
|
mpbir2and |
|