Step |
Hyp |
Ref |
Expression |
1 |
|
monoords.fk |
|
2 |
|
monoords.flt |
|
3 |
|
monoords.i |
|
4 |
|
monoords.j |
|
5 |
|
monoords.iltj |
|
6 |
3
|
ancli |
|
7 |
|
eleq1 |
|
8 |
7
|
anbi2d |
|
9 |
|
fveq2 |
|
10 |
9
|
eleq1d |
|
11 |
8 10
|
imbi12d |
|
12 |
11 1
|
vtoclg |
|
13 |
3 6 12
|
sylc |
|
14 |
|
elfzel1 |
|
15 |
3 14
|
syl |
|
16 |
|
elfzelz |
|
17 |
3 16
|
syl |
|
18 |
|
elfzle1 |
|
19 |
3 18
|
syl |
|
20 |
|
eluz2 |
|
21 |
15 17 19 20
|
syl3anbrc |
|
22 |
|
elfzuz2 |
|
23 |
3 22
|
syl |
|
24 |
|
eluzelz |
|
25 |
23 24
|
syl |
|
26 |
17
|
zred |
|
27 |
|
elfzelz |
|
28 |
4 27
|
syl |
|
29 |
28
|
zred |
|
30 |
25
|
zred |
|
31 |
|
elfzle2 |
|
32 |
4 31
|
syl |
|
33 |
26 29 30 5 32
|
ltletrd |
|
34 |
|
elfzo2 |
|
35 |
21 25 33 34
|
syl3anbrc |
|
36 |
|
fzofzp1 |
|
37 |
35 36
|
syl |
|
38 |
37
|
ancli |
|
39 |
|
eleq1 |
|
40 |
39
|
anbi2d |
|
41 |
|
fveq2 |
|
42 |
41
|
eleq1d |
|
43 |
40 42
|
imbi12d |
|
44 |
43 1
|
vtoclg |
|
45 |
37 38 44
|
sylc |
|
46 |
4
|
ancli |
|
47 |
|
eleq1 |
|
48 |
47
|
anbi2d |
|
49 |
|
fveq2 |
|
50 |
49
|
eleq1d |
|
51 |
48 50
|
imbi12d |
|
52 |
51 1
|
vtoclg |
|
53 |
4 46 52
|
sylc |
|
54 |
35
|
ancli |
|
55 |
|
eleq1 |
|
56 |
55
|
anbi2d |
|
57 |
|
fvoveq1 |
|
58 |
9 57
|
breq12d |
|
59 |
56 58
|
imbi12d |
|
60 |
59 2
|
vtoclg |
|
61 |
35 54 60
|
sylc |
|
62 |
17
|
peano2zd |
|
63 |
|
zltp1le |
|
64 |
17 28 63
|
syl2anc |
|
65 |
5 64
|
mpbid |
|
66 |
|
eluz2 |
|
67 |
62 28 65 66
|
syl3anbrc |
|
68 |
15
|
adantr |
|
69 |
25
|
adantr |
|
70 |
|
elfzelz |
|
71 |
70
|
adantl |
|
72 |
68 69 71
|
3jca |
|
73 |
68
|
zred |
|
74 |
71
|
zred |
|
75 |
62
|
zred |
|
76 |
75
|
adantr |
|
77 |
26
|
adantr |
|
78 |
19
|
adantr |
|
79 |
77
|
ltp1d |
|
80 |
73 77 76 78 79
|
lelttrd |
|
81 |
|
elfzle1 |
|
82 |
81
|
adantl |
|
83 |
73 76 74 80 82
|
ltletrd |
|
84 |
73 74 83
|
ltled |
|
85 |
29
|
adantr |
|
86 |
69
|
zred |
|
87 |
|
elfzle2 |
|
88 |
87
|
adantl |
|
89 |
32
|
adantr |
|
90 |
74 85 86 88 89
|
letrd |
|
91 |
72 84 90
|
jca32 |
|
92 |
|
elfz2 |
|
93 |
91 92
|
sylibr |
|
94 |
93 1
|
syldan |
|
95 |
15
|
adantr |
|
96 |
25
|
adantr |
|
97 |
|
elfzelz |
|
98 |
97
|
adantl |
|
99 |
95 96 98
|
3jca |
|
100 |
95
|
zred |
|
101 |
98
|
zred |
|
102 |
75
|
adantr |
|
103 |
15
|
zred |
|
104 |
26
|
ltp1d |
|
105 |
103 26 75 19 104
|
lelttrd |
|
106 |
105
|
adantr |
|
107 |
|
elfzle1 |
|
108 |
107
|
adantl |
|
109 |
100 102 101 106 108
|
ltletrd |
|
110 |
100 101 109
|
ltled |
|
111 |
96
|
zred |
|
112 |
|
peano2rem |
|
113 |
29 112
|
syl |
|
114 |
113
|
adantr |
|
115 |
|
elfzle2 |
|
116 |
115
|
adantl |
|
117 |
29
|
adantr |
|
118 |
117
|
ltm1d |
|
119 |
32
|
adantr |
|
120 |
114 117 111 118 119
|
ltletrd |
|
121 |
101 114 111 116 120
|
lelttrd |
|
122 |
101 111 121
|
ltled |
|
123 |
99 110 122
|
jca32 |
|
124 |
123 92
|
sylibr |
|
125 |
124 1
|
syldan |
|
126 |
|
peano2zm |
|
127 |
96 126
|
syl |
|
128 |
95 127 98
|
3jca |
|
129 |
127
|
zred |
|
130 |
|
1red |
|
131 |
29 30 130 32
|
lesub1dd |
|
132 |
131
|
adantr |
|
133 |
101 114 129 116 132
|
letrd |
|
134 |
128 110 133
|
jca32 |
|
135 |
|
elfz2 |
|
136 |
134 135
|
sylibr |
|
137 |
|
simpr |
|
138 |
|
fzoval |
|
139 |
25 138
|
syl |
|
140 |
139
|
eqcomd |
|
141 |
140
|
adantr |
|
142 |
137 141
|
eleqtrd |
|
143 |
|
fzofzp1 |
|
144 |
142 143
|
syl |
|
145 |
|
simpl |
|
146 |
145 144
|
jca |
|
147 |
|
eleq1 |
|
148 |
147
|
anbi2d |
|
149 |
|
fveq2 |
|
150 |
149
|
eleq1d |
|
151 |
148 150
|
imbi12d |
|
152 |
|
eleq1 |
|
153 |
152
|
anbi2d |
|
154 |
|
fveq2 |
|
155 |
154
|
eleq1d |
|
156 |
153 155
|
imbi12d |
|
157 |
156 1
|
chvarvv |
|
158 |
151 157
|
vtoclg |
|
159 |
144 146 158
|
sylc |
|
160 |
136 159
|
syldan |
|
161 |
142 2
|
syldan |
|
162 |
136 161
|
syldan |
|
163 |
125 160 162
|
ltled |
|
164 |
67 94 163
|
monoord |
|
165 |
13 45 53 61 164
|
ltletrd |
|