Step |
Hyp |
Ref |
Expression |
1 |
|
cnndvlem1.t |
|
2 |
|
cnndvlem1.f |
|
3 |
|
cnndvlem1.w |
|
4 |
|
3nn |
|
5 |
4
|
a1i |
|
6 |
|
neg1rr |
|
7 |
6
|
rexri |
|
8 |
|
1re |
|
9 |
8
|
rexri |
|
10 |
|
halfre |
|
11 |
10
|
rexri |
|
12 |
7 9 11
|
3pm3.2i |
|
13 |
|
neg1lt0 |
|
14 |
|
halfgt0 |
|
15 |
13 14
|
pm3.2i |
|
16 |
|
0re |
|
17 |
6 16 10
|
lttri |
|
18 |
15 17
|
ax-mp |
|
19 |
|
halflt1 |
|
20 |
18 19
|
pm3.2i |
|
21 |
12 20
|
pm3.2i |
|
22 |
|
elioo3g |
|
23 |
21 22
|
mpbir |
|
24 |
23
|
a1i |
|
25 |
1 2 3 5 24
|
knoppcn2 |
|
26 |
25
|
mptru |
|
27 |
|
2cn |
|
28 |
27
|
mulid2i |
|
29 |
|
2lt3 |
|
30 |
28 29
|
eqbrtri |
|
31 |
|
2pos |
|
32 |
4
|
nnrei |
|
33 |
|
2re |
|
34 |
8 32 33
|
ltmuldivi |
|
35 |
31 34
|
ax-mp |
|
36 |
30 35
|
mpbi |
|
37 |
16 10 14
|
ltleii |
|
38 |
10
|
absidi |
|
39 |
37 38
|
ax-mp |
|
40 |
39
|
oveq2i |
|
41 |
4
|
nncni |
|
42 |
|
2ne0 |
|
43 |
41 27 42
|
divreci |
|
44 |
43
|
eqcomi |
|
45 |
40 44
|
eqtri |
|
46 |
36 45
|
breqtrri |
|
47 |
46
|
a1i |
|
48 |
1 2 3 24 5 47
|
knoppndv |
|
49 |
48
|
mptru |
|
50 |
26 49
|
pm3.2i |
|