Step |
Hyp |
Ref |
Expression |
1 |
|
1z |
|
2 |
|
nn0z |
|
3 |
|
elfz1 |
|
4 |
1 2 3
|
sylancr |
|
5 |
|
3anass |
|
6 |
4 5
|
bitrdi |
|
7 |
6
|
baibd |
|
8 |
7
|
baibd |
|
9 |
8
|
notbid |
|
10 |
|
simpl |
|
11 |
10
|
zred |
|
12 |
|
simpr |
|
13 |
12
|
zred |
|
14 |
11 13
|
ltnled |
|
15 |
|
zltp1le |
|
16 |
14 15
|
bitr3d |
|
17 |
2 16
|
sylan |
|
18 |
17
|
adantr |
|
19 |
9 18
|
bitrd |
|
20 |
19
|
pm5.32da |
|
21 |
|
1red |
|
22 |
|
simpll |
|
23 |
22
|
nn0red |
|
24 |
23 21
|
readdcld |
|
25 |
|
simplr |
|
26 |
25
|
zred |
|
27 |
|
0p1e1 |
|
28 |
|
0red |
|
29 |
22
|
nn0ge0d |
|
30 |
28 23 21 29
|
leadd1dd |
|
31 |
27 30
|
eqbrtrrid |
|
32 |
|
simpr |
|
33 |
21 24 26 31 32
|
letrd |
|
34 |
33
|
ex |
|
35 |
34
|
pm4.71rd |
|
36 |
20 35
|
bitr4d |
|
37 |
36
|
pm5.32da |
|
38 |
|
eldif |
|
39 |
|
elnnz1 |
|
40 |
39
|
anbi1i |
|
41 |
|
anass |
|
42 |
38 40 41
|
3bitri |
|
43 |
42
|
a1i |
|
44 |
|
peano2nn0 |
|
45 |
44
|
nn0zd |
|
46 |
|
eluz1 |
|
47 |
45 46
|
syl |
|
48 |
37 43 47
|
3bitr4d |
|
49 |
48
|
eqrdv |
|