Step |
Hyp |
Ref |
Expression |
1 |
|
ax-1ne0 |
|
2 |
|
1re |
|
3 |
|
0re |
|
4 |
2 3
|
lttri2i |
|
5 |
1 4
|
mpbi |
|
6 |
|
breq1 |
|
7 |
6
|
imbi2d |
|
8 |
|
breq1 |
|
9 |
8
|
imbi2d |
|
10 |
|
breq1 |
|
11 |
10
|
imbi2d |
|
12 |
|
breq1 |
|
13 |
12
|
imbi2d |
|
14 |
|
id |
|
15 |
|
simp1 |
|
16 |
15
|
nnred |
|
17 |
|
1red |
|
18 |
16 17
|
readdcld |
|
19 |
3 2
|
readdcli |
|
20 |
19
|
a1i |
|
21 |
|
0red |
|
22 |
|
simp3 |
|
23 |
16 21 17 22
|
ltadd1dd |
|
24 |
|
ax-1cn |
|
25 |
24
|
addlidi |
|
26 |
|
simp2 |
|
27 |
25 26
|
eqbrtrid |
|
28 |
18 20 21 23 27
|
lttrd |
|
29 |
28
|
3exp |
|
30 |
29
|
a2d |
|
31 |
7 9 11 13 14 30
|
nnind |
|
32 |
31
|
imp |
|
33 |
32
|
lt0ne0d |
|
34 |
|
breq2 |
|
35 |
34
|
imbi2d |
|
36 |
|
breq2 |
|
37 |
36
|
imbi2d |
|
38 |
|
breq2 |
|
39 |
38
|
imbi2d |
|
40 |
|
breq2 |
|
41 |
40
|
imbi2d |
|
42 |
|
id |
|
43 |
|
simp1 |
|
44 |
43
|
nnred |
|
45 |
|
1red |
|
46 |
|
simp3 |
|
47 |
|
simp2 |
|
48 |
44 45 46 47
|
addgt0d |
|
49 |
48
|
3exp |
|
50 |
49
|
a2d |
|
51 |
35 37 39 41 42 50
|
nnind |
|
52 |
51
|
imp |
|
53 |
52
|
gt0ne0d |
|
54 |
33 53
|
jaodan |
|
55 |
5 54
|
mpan2 |
|