Step |
Hyp |
Ref |
Expression |
1 |
|
eqeq1 |
|
2 |
1
|
anbi1d |
|
3 |
|
f0bi |
|
4 |
|
ffn |
|
5 |
|
ffn |
|
6 |
|
fndmu |
|
7 |
|
0z |
|
8 |
|
nn0z |
|
9 |
8
|
adantl |
|
10 |
|
fzon |
|
11 |
7 9 10
|
sylancr |
|
12 |
|
nn0ge0 |
|
13 |
|
0red |
|
14 |
|
nn0re |
|
15 |
13 14
|
letri3d |
|
16 |
15
|
biimprd |
|
17 |
12 16
|
mpand |
|
18 |
17
|
adantl |
|
19 |
11 18
|
sylbird |
|
20 |
6 19
|
syl5com |
|
21 |
20
|
ex |
|
22 |
4 5 21
|
syl2imc |
|
23 |
3 22
|
sylbir |
|
24 |
23
|
imp |
|
25 |
2 24
|
syl6bi |
|
26 |
25
|
com3l |
|
27 |
26
|
a1i |
|
28 |
|
oveq2 |
|
29 |
|
fzo0 |
|
30 |
28 29
|
eqtrdi |
|
31 |
30
|
feq2d |
|
32 |
|
f0bi |
|
33 |
31 32
|
syl6bb |
|
34 |
33
|
anbi1d |
|
35 |
|
eqeq1 |
|
36 |
35
|
imbi2d |
|
37 |
36
|
imbi2d |
|
38 |
27 34 37
|
3imtr4d |
|
39 |
38
|
com3l |
|
40 |
39
|
impcom |
|
41 |
40
|
impcom |
|
42 |
28
|
feq2d |
|
43 |
29
|
feq2i |
|
44 |
43 32
|
bitri |
|
45 |
42 44
|
syl6bb |
|
46 |
45
|
adantr |
|
47 |
|
eqeq1 |
|
48 |
47
|
biimpac |
|
49 |
|
oveq2 |
|
50 |
49
|
feq2d |
|
51 |
29
|
feq2i |
|
52 |
51 3
|
bitri |
|
53 |
50 52
|
syl6bb |
|
54 |
48 53
|
syl |
|
55 |
46 54
|
anbi12d |
|
56 |
|
eqtr3 |
|
57 |
55 56
|
syl6bi |
|
58 |
57
|
com12 |
|
59 |
58
|
expd |
|
60 |
59
|
adantl |
|
61 |
60
|
impcom |
|
62 |
41 61
|
impbid |
|
63 |
|
ral0 |
|
64 |
30
|
raleqdv |
|
65 |
63 64
|
mpbiri |
|
66 |
65
|
biantrud |
|
67 |
66
|
adantr |
|
68 |
62 67
|
bitrd |
|
69 |
|
ffn |
|
70 |
69 4
|
anim12i |
|
71 |
70
|
adantl |
|
72 |
71
|
adantl |
|
73 |
|
eqfnfv2 |
|
74 |
72 73
|
syl |
|
75 |
|
df-ne |
|
76 |
|
elnnne0 |
|
77 |
|
0zd |
|
78 |
|
nnz |
|
79 |
|
nngt0 |
|
80 |
77 78 79
|
3jca |
|
81 |
80
|
adantr |
|
82 |
|
fzoopth |
|
83 |
81 82
|
syl |
|
84 |
|
simpr |
|
85 |
83 84
|
syl6bi |
|
86 |
85
|
anim1d |
|
87 |
|
oveq2 |
|
88 |
87
|
anim1i |
|
89 |
86 88
|
impbid1 |
|
90 |
89
|
ex |
|
91 |
76 90
|
sylbir |
|
92 |
91
|
impancom |
|
93 |
75 92
|
syl5bir |
|
94 |
93
|
adantr |
|
95 |
94
|
impcom |
|
96 |
74 95
|
bitrd |
|
97 |
68 96
|
pm2.61ian |
|