Step |
Hyp |
Ref |
Expression |
1 |
|
wwlksnextprop.x |
|
2 |
|
wwlksnextprop.e |
|
3 |
|
eqid |
|
4 |
3 2
|
wwlknp |
|
5 |
|
fzonn0p1 |
|
6 |
5
|
adantl |
|
7 |
|
fveq2 |
|
8 |
|
fvoveq1 |
|
9 |
7 8
|
preq12d |
|
10 |
9
|
eleq1d |
|
11 |
10
|
rspcv |
|
12 |
6 11
|
syl |
|
13 |
12
|
imp |
|
14 |
|
simpll |
|
15 |
|
1zzd |
|
16 |
|
lencl |
|
17 |
16
|
nn0zd |
|
18 |
17
|
ad2antrr |
|
19 |
|
peano2nn0 |
|
20 |
19
|
nn0zd |
|
21 |
20
|
adantl |
|
22 |
15 18 21
|
3jca |
|
23 |
|
nn0ge0 |
|
24 |
|
1red |
|
25 |
|
nn0re |
|
26 |
24 25
|
addge02d |
|
27 |
23 26
|
mpbid |
|
28 |
27
|
adantl |
|
29 |
19
|
nn0red |
|
30 |
29
|
lep1d |
|
31 |
|
breq2 |
|
32 |
30 31
|
syl5ibrcom |
|
33 |
32
|
a1i |
|
34 |
33
|
com23 |
|
35 |
16 34
|
syl |
|
36 |
35
|
imp31 |
|
37 |
28 36
|
jca |
|
38 |
|
elfz2 |
|
39 |
22 37 38
|
sylanbrc |
|
40 |
|
pfxfvlsw |
|
41 |
14 39 40
|
syl2anc |
|
42 |
|
nn0cn |
|
43 |
|
1cnd |
|
44 |
42 43
|
pncand |
|
45 |
44
|
fveq2d |
|
46 |
45
|
adantl |
|
47 |
41 46
|
eqtrd |
|
48 |
|
lsw |
|
49 |
48
|
ad2antrr |
|
50 |
|
fvoveq1 |
|
51 |
50
|
adantl |
|
52 |
19
|
nn0cnd |
|
53 |
52 43
|
pncand |
|
54 |
53
|
fveq2d |
|
55 |
51 54
|
sylan9eq |
|
56 |
49 55
|
eqtrd |
|
57 |
47 56
|
preq12d |
|
58 |
57
|
eleq1d |
|
59 |
58
|
adantr |
|
60 |
13 59
|
mpbird |
|
61 |
60
|
exp31 |
|
62 |
61
|
com23 |
|
63 |
62
|
3impia |
|
64 |
4 63
|
syl |
|
65 |
64 1
|
eleq2s |
|
66 |
65
|
imp |
|