Step |
Hyp |
Ref |
Expression |
1 |
|
pthd.p |
|
2 |
|
pthd.r |
|
3 |
|
pthd.s |
|
4 |
3
|
3ad2ant1 |
|
5 |
|
ralcom |
|
6 |
|
elfzo1 |
|
7 |
|
nnne0 |
|
8 |
7
|
necomd |
|
9 |
8
|
3ad2ant1 |
|
10 |
6 9
|
sylbi |
|
11 |
10
|
adantl |
|
12 |
|
neeq1 |
|
13 |
11 12
|
syl5ibr |
|
14 |
13
|
expd |
|
15 |
|
nnre |
|
16 |
15
|
adantr |
|
17 |
|
nnre |
|
18 |
17
|
adantl |
|
19 |
16 18
|
ltlend |
|
20 |
|
simpr |
|
21 |
19 20
|
syl6bi |
|
22 |
21
|
3impia |
|
23 |
6 22
|
sylbi |
|
24 |
23
|
adantl |
|
25 |
|
neeq1 |
|
26 |
24 25
|
syl5ibr |
|
27 |
26
|
expd |
|
28 |
14 27
|
jaoi |
|
29 |
28
|
impcom |
|
30 |
29
|
3adant1 |
|
31 |
30
|
imp |
|
32 |
|
lbfzo0 |
|
33 |
32
|
biimpri |
|
34 |
|
eleq1 |
|
35 |
33 34
|
syl5ibr |
|
36 |
|
fzo0end |
|
37 |
2 36
|
eqeltrid |
|
38 |
|
eleq1 |
|
39 |
37 38
|
syl5ibr |
|
40 |
35 39
|
jaoi |
|
41 |
40
|
impcom |
|
42 |
41
|
3adant1 |
|
43 |
42
|
adantr |
|
44 |
|
neeq1 |
|
45 |
|
fveq2 |
|
46 |
45
|
neeq1d |
|
47 |
44 46
|
imbi12d |
|
48 |
47
|
rspcv |
|
49 |
43 48
|
syl |
|
50 |
31 49
|
mpid |
|
51 |
|
nesym |
|
52 |
50 51
|
syl6ib |
|
53 |
52
|
ralimdva |
|
54 |
5 53
|
syl5bi |
|
55 |
4 54
|
mpd |
|
56 |
|
ralnex |
|
57 |
55 56
|
sylib |
|
58 |
|
wrdf |
|
59 |
|
ffun |
|
60 |
1 58 59
|
3syl |
|
61 |
60
|
3ad2ant1 |
|
62 |
|
fvelima |
|
63 |
62
|
ex |
|
64 |
61 63
|
syl |
|
65 |
57 64
|
mtod |
|
66 |
|
df-nel |
|
67 |
65 66
|
sylibr |
|