Step |
Hyp |
Ref |
Expression |
1 |
|
ulmcn.z |
|
2 |
|
ulmcn.m |
|
3 |
|
ulmcn.f |
|
4 |
|
ulmcn.u |
|
5 |
|
ulmcl |
|
6 |
4 5
|
syl |
|
7 |
2
|
adantr |
|
8 |
|
cncff |
|
9 |
|
cnex |
|
10 |
|
cncfrss |
|
11 |
|
ssexg |
|
12 |
10 9 11
|
sylancl |
|
13 |
|
elmapg |
|
14 |
9 12 13
|
sylancr |
|
15 |
8 14
|
mpbird |
|
16 |
15
|
ssriv |
|
17 |
|
fss |
|
18 |
3 16 17
|
sylancl |
|
19 |
18
|
adantr |
|
20 |
|
eqidd |
|
21 |
|
eqidd |
|
22 |
4
|
adantr |
|
23 |
|
rphalfcl |
|
24 |
23
|
ad2antll |
|
25 |
24
|
rphalfcld |
|
26 |
1 7 19 20 21 22 25
|
ulmi |
|
27 |
1
|
r19.2uz |
|
28 |
|
simplrl |
|
29 |
|
fveq2 |
|
30 |
|
fveq2 |
|
31 |
29 30
|
oveq12d |
|
32 |
31
|
fveq2d |
|
33 |
32
|
breq1d |
|
34 |
33
|
rspcv |
|
35 |
28 34
|
syl |
|
36 |
3
|
adantr |
|
37 |
36
|
ffvelrnda |
|
38 |
24
|
adantr |
|
39 |
|
cncfi |
|
40 |
37 28 38 39
|
syl3anc |
|
41 |
40
|
ad2antrr |
|
42 |
|
r19.26 |
|
43 |
19
|
ad2antrr |
|
44 |
|
simplr |
|
45 |
43 44
|
ffvelrnd |
|
46 |
|
elmapi |
|
47 |
45 46
|
syl |
|
48 |
28
|
adantr |
|
49 |
47 48
|
ffvelrnd |
|
50 |
6
|
ad3antrrr |
|
51 |
50 48
|
ffvelrnd |
|
52 |
49 51
|
subcld |
|
53 |
52
|
abscld |
|
54 |
|
ffvelrn |
|
55 |
47 54
|
sylancom |
|
56 |
|
ffvelrn |
|
57 |
50 56
|
sylancom |
|
58 |
55 57
|
subcld |
|
59 |
58
|
abscld |
|
60 |
38
|
adantr |
|
61 |
60
|
rphalfcld |
|
62 |
61
|
rpred |
|
63 |
|
lt2add |
|
64 |
53 59 62 62 63
|
syl22anc |
|
65 |
60
|
rpred |
|
66 |
65
|
recnd |
|
67 |
66
|
2halvesd |
|
68 |
67
|
breq2d |
|
69 |
53 59
|
readdcld |
|
70 |
55 49
|
subcld |
|
71 |
70
|
abscld |
|
72 |
|
lt2add |
|
73 |
69 71 65 65 72
|
syl22anc |
|
74 |
|
rpre |
|
75 |
74
|
ad2antll |
|
76 |
75
|
ad2antrr |
|
77 |
76
|
recnd |
|
78 |
77
|
2halvesd |
|
79 |
78
|
breq2d |
|
80 |
57 51
|
subcld |
|
81 |
80
|
abscld |
|
82 |
57 49
|
subcld |
|
83 |
82
|
abscld |
|
84 |
53 83
|
readdcld |
|
85 |
69 71
|
readdcld |
|
86 |
57 51 49
|
abs3difd |
|
87 |
83
|
recnd |
|
88 |
53
|
recnd |
|
89 |
87 88
|
addcomd |
|
90 |
86 89
|
breqtrd |
|
91 |
59 71
|
readdcld |
|
92 |
57 49 55
|
abs3difd |
|
93 |
57 55
|
abssubd |
|
94 |
93
|
oveq1d |
|
95 |
92 94
|
breqtrd |
|
96 |
83 91 53 95
|
leadd2dd |
|
97 |
59
|
recnd |
|
98 |
71
|
recnd |
|
99 |
88 97 98
|
addassd |
|
100 |
96 99
|
breqtrrd |
|
101 |
81 84 85 90 100
|
letrd |
|
102 |
|
lelttr |
|
103 |
81 85 76 102
|
syl3anc |
|
104 |
101 103
|
mpand |
|
105 |
79 104
|
sylbid |
|
106 |
73 105
|
syld |
|
107 |
106
|
expd |
|
108 |
68 107
|
sylbid |
|
109 |
64 108
|
syld |
|
110 |
109
|
expdimp |
|
111 |
110
|
an32s |
|
112 |
111
|
imp |
|
113 |
112
|
imim2d |
|
114 |
113
|
expimpd |
|
115 |
114
|
ralimdva |
|
116 |
42 115
|
syl5bir |
|
117 |
116
|
expdimp |
|
118 |
117
|
an32s |
|
119 |
118
|
reximdv |
|
120 |
41 119
|
mpd |
|
121 |
120
|
exp31 |
|
122 |
35 121
|
mpdd |
|
123 |
122
|
rexlimdva |
|
124 |
27 123
|
syl5 |
|
125 |
26 124
|
mpd |
|
126 |
125
|
ralrimivva |
|
127 |
|
uzid |
|
128 |
2 127
|
syl |
|
129 |
128 1
|
eleqtrrdi |
|
130 |
3 129
|
ffvelrnd |
|
131 |
|
cncfrss |
|
132 |
130 131
|
syl |
|
133 |
|
ssid |
|
134 |
|
elcncf2 |
|
135 |
132 133 134
|
sylancl |
|
136 |
6 126 135
|
mpbir2and |
|