Step |
Hyp |
Ref |
Expression |
1 |
|
clwwlkf1o.d |
|
2 |
|
ccatws1n0 |
|
3 |
2
|
adantr |
|
4 |
3
|
3ad2ant2 |
|
5 |
|
simprl |
|
6 |
|
fstwrdne0 |
|
7 |
6
|
s1cld |
|
8 |
|
ccatcl |
|
9 |
5 7 8
|
syl2anc |
|
10 |
9
|
3adant3 |
|
11 |
5
|
adantr |
|
12 |
7
|
adantr |
|
13 |
|
elfzonn0 |
|
14 |
13
|
adantl |
|
15 |
|
nnz |
|
16 |
15
|
adantr |
|
17 |
|
elfzo0 |
|
18 |
|
nn0re |
|
19 |
18
|
adantr |
|
20 |
|
nnre |
|
21 |
|
peano2rem |
|
22 |
20 21
|
syl |
|
23 |
22
|
adantl |
|
24 |
20
|
adantl |
|
25 |
19 23 24
|
3jca |
|
26 |
25
|
adantr |
|
27 |
20
|
ltm1d |
|
28 |
27
|
adantl |
|
29 |
28
|
anim1ci |
|
30 |
|
lttr |
|
31 |
26 29 30
|
sylc |
|
32 |
31
|
ex |
|
33 |
32
|
impancom |
|
34 |
33
|
3adant2 |
|
35 |
17 34
|
sylbi |
|
36 |
35
|
impcom |
|
37 |
|
elfzo0z |
|
38 |
14 16 36 37
|
syl3anbrc |
|
39 |
38
|
adantlr |
|
40 |
|
oveq2 |
|
41 |
40
|
eleq2d |
|
42 |
41
|
ad2antll |
|
43 |
42
|
adantr |
|
44 |
39 43
|
mpbird |
|
45 |
|
ccatval1 |
|
46 |
11 12 44 45
|
syl3anc |
|
47 |
|
elfzom1p1elfzo |
|
48 |
47
|
adantlr |
|
49 |
40
|
ad2antll |
|
50 |
49
|
adantr |
|
51 |
48 50
|
eleqtrrd |
|
52 |
|
ccatval1 |
|
53 |
11 12 51 52
|
syl3anc |
|
54 |
46 53
|
preq12d |
|
55 |
54
|
eleq1d |
|
56 |
55
|
ralbidva |
|
57 |
56
|
biimprcd |
|
58 |
57
|
adantr |
|
59 |
58
|
expdcom |
|
60 |
59
|
3imp |
|
61 |
|
fzo0end |
|
62 |
40
|
eleq2d |
|
63 |
62
|
adantl |
|
64 |
61 63
|
syl5ibrcom |
|
65 |
64
|
imp |
|
66 |
|
ccatval1 |
|
67 |
5 7 65 66
|
syl3anc |
|
68 |
|
lsw |
|
69 |
68
|
adantr |
|
70 |
|
fvoveq1 |
|
71 |
70
|
adantl |
|
72 |
69 71
|
eqtr2d |
|
73 |
72
|
adantl |
|
74 |
67 73
|
eqtr2d |
|
75 |
|
nncn |
|
76 |
|
1cnd |
|
77 |
75 76
|
npcand |
|
78 |
77
|
fveq2d |
|
79 |
78
|
adantr |
|
80 |
|
fveq2 |
|
81 |
80
|
ad2antll |
|
82 |
|
ccatws1ls |
|
83 |
5 6 82
|
syl2anc |
|
84 |
79 81 83
|
3eqtr2rd |
|
85 |
74 84
|
preq12d |
|
86 |
85
|
eleq1d |
|
87 |
86
|
biimpcd |
|
88 |
87
|
adantl |
|
89 |
88
|
expdcom |
|
90 |
89
|
3imp |
|
91 |
|
ovex |
|
92 |
|
fveq2 |
|
93 |
|
fvoveq1 |
|
94 |
92 93
|
preq12d |
|
95 |
94
|
eleq1d |
|
96 |
91 95
|
ralsn |
|
97 |
90 96
|
sylibr |
|
98 |
75 76 76
|
addsubd |
|
99 |
98
|
oveq2d |
|
100 |
|
nnm1nn0 |
|
101 |
|
elnn0uz |
|
102 |
100 101
|
sylib |
|
103 |
|
fzosplitsn |
|
104 |
102 103
|
syl |
|
105 |
99 104
|
eqtrd |
|
106 |
105
|
raleqdv |
|
107 |
|
ralunb |
|
108 |
106 107
|
bitrdi |
|
109 |
108
|
3ad2ant1 |
|
110 |
60 97 109
|
mpbir2and |
|
111 |
|
ccatlen |
|
112 |
5 7 111
|
syl2anc |
|
113 |
|
id |
|
114 |
|
s1len |
|
115 |
114
|
a1i |
|
116 |
113 115
|
oveq12d |
|
117 |
116
|
ad2antll |
|
118 |
112 117
|
eqtrd |
|
119 |
118
|
3adant3 |
|
120 |
119
|
oveq1d |
|
121 |
120
|
oveq2d |
|
122 |
121
|
raleqdv |
|
123 |
110 122
|
mpbird |
|
124 |
4 10 123
|
3jca |
|
125 |
|
nnnn0 |
|
126 |
|
iswwlksn |
|
127 |
125 126
|
syl |
|
128 |
|
eqid |
|
129 |
|
eqid |
|
130 |
128 129
|
iswwlks |
|
131 |
130
|
anbi1i |
|
132 |
127 131
|
bitrdi |
|
133 |
132
|
3ad2ant1 |
|
134 |
124 119 133
|
mpbir2and |
|
135 |
|
lswccats1 |
|
136 |
5 6 135
|
syl2anc |
|
137 |
|
lbfzo0 |
|
138 |
137
|
biimpri |
|
139 |
40
|
eleq2d |
|
140 |
139
|
adantl |
|
141 |
138 140
|
syl5ibrcom |
|
142 |
141
|
imp |
|
143 |
|
ccatval1 |
|
144 |
5 7 142 143
|
syl3anc |
|
145 |
136 144
|
eqtr4d |
|
146 |
145
|
3adant3 |
|
147 |
|
fveq2 |
|
148 |
|
fveq1 |
|
149 |
147 148
|
eqeq12d |
|
150 |
149 1
|
elrab2 |
|
151 |
134 146 150
|
sylanbrc |
|