Step |
Hyp |
Ref |
Expression |
1 |
|
swrdcl |
|
2 |
1
|
adantr |
|
3 |
|
swrdcl |
|
4 |
3
|
adantr |
|
5 |
|
ccatcl |
|
6 |
2 4 5
|
syl2anc |
|
7 |
|
wrdfn |
|
8 |
6 7
|
syl |
|
9 |
|
ccatlen |
|
10 |
2 4 9
|
syl2anc |
|
11 |
|
simpl |
|
12 |
|
simpr1 |
|
13 |
|
simpr2 |
|
14 |
|
simpr3 |
|
15 |
|
fzass4 |
|
16 |
15
|
biimpri |
|
17 |
16
|
simpld |
|
18 |
13 14 17
|
syl2anc |
|
19 |
|
swrdlen |
|
20 |
11 12 18 19
|
syl3anc |
|
21 |
|
swrdlen |
|
22 |
21
|
3adant3r1 |
|
23 |
20 22
|
oveq12d |
|
24 |
|
elfzelz |
|
25 |
13 24
|
syl |
|
26 |
25
|
zcnd |
|
27 |
|
elfzelz |
|
28 |
12 27
|
syl |
|
29 |
28
|
zcnd |
|
30 |
|
elfzelz |
|
31 |
14 30
|
syl |
|
32 |
31
|
zcnd |
|
33 |
26 29 32
|
npncan3d |
|
34 |
10 23 33
|
3eqtrd |
|
35 |
34
|
oveq2d |
|
36 |
35
|
fneq2d |
|
37 |
8 36
|
mpbid |
|
38 |
|
swrdcl |
|
39 |
38
|
adantr |
|
40 |
|
wrdfn |
|
41 |
39 40
|
syl |
|
42 |
|
fzass4 |
|
43 |
42
|
biimpri |
|
44 |
43
|
simpld |
|
45 |
12 13 44
|
syl2anc |
|
46 |
|
swrdlen |
|
47 |
11 45 14 46
|
syl3anc |
|
48 |
47
|
oveq2d |
|
49 |
48
|
fneq2d |
|
50 |
41 49
|
mpbid |
|
51 |
25 28
|
zsubcld |
|
52 |
51
|
anim1ci |
|
53 |
|
fzospliti |
|
54 |
52 53
|
syl |
|
55 |
1
|
ad2antrr |
|
56 |
3
|
ad2antrr |
|
57 |
20
|
oveq2d |
|
58 |
57
|
eleq2d |
|
59 |
58
|
biimpar |
|
60 |
|
ccatval1 |
|
61 |
55 56 59 60
|
syl3anc |
|
62 |
|
simpll |
|
63 |
|
simplr1 |
|
64 |
18
|
adantr |
|
65 |
|
simpr |
|
66 |
|
swrdfv |
|
67 |
62 63 64 65 66
|
syl31anc |
|
68 |
61 67
|
eqtrd |
|
69 |
1
|
ad2antrr |
|
70 |
3
|
ad2antrr |
|
71 |
23 33
|
eqtrd |
|
72 |
20 71
|
oveq12d |
|
73 |
72
|
eleq2d |
|
74 |
73
|
biimpar |
|
75 |
|
ccatval2 |
|
76 |
69 70 74 75
|
syl3anc |
|
77 |
|
simpll |
|
78 |
|
simplr2 |
|
79 |
|
simplr3 |
|
80 |
20
|
oveq2d |
|
81 |
80
|
adantr |
|
82 |
33
|
oveq2d |
|
83 |
82
|
eleq2d |
|
84 |
83
|
biimpar |
|
85 |
31 25
|
zsubcld |
|
86 |
85
|
adantr |
|
87 |
|
fzosubel3 |
|
88 |
84 86 87
|
syl2anc |
|
89 |
81 88
|
eqeltrd |
|
90 |
|
swrdfv |
|
91 |
77 78 79 89 90
|
syl31anc |
|
92 |
80
|
oveq1d |
|
93 |
92
|
adantr |
|
94 |
|
elfzoelz |
|
95 |
94
|
zcnd |
|
96 |
95
|
adantl |
|
97 |
26 29
|
subcld |
|
98 |
97
|
adantr |
|
99 |
26
|
adantr |
|
100 |
96 98 99
|
subadd23d |
|
101 |
26 29
|
nncand |
|
102 |
101
|
oveq2d |
|
103 |
102
|
adantr |
|
104 |
93 100 103
|
3eqtrd |
|
105 |
104
|
fveq2d |
|
106 |
76 91 105
|
3eqtrd |
|
107 |
68 106
|
jaodan |
|
108 |
54 107
|
syldan |
|
109 |
|
simpll |
|
110 |
45
|
adantr |
|
111 |
|
simplr3 |
|
112 |
|
simpr |
|
113 |
|
swrdfv |
|
114 |
109 110 111 112 113
|
syl31anc |
|
115 |
108 114
|
eqtr4d |
|
116 |
37 50 115
|
eqfnfvd |
|