Step |
Hyp |
Ref |
Expression |
1 |
|
i1ff |
|
2 |
1
|
ffvelrnda |
|
3 |
|
i1ff |
|
4 |
3
|
ffvelrnda |
|
5 |
|
absreim |
|
6 |
2 4 5
|
syl2an |
|
7 |
6
|
anandirs |
|
8 |
2
|
recnd |
|
9 |
8
|
sqvald |
|
10 |
4
|
recnd |
|
11 |
10
|
sqvald |
|
12 |
9 11
|
oveqan12d |
|
13 |
12
|
anandirs |
|
14 |
13
|
fveq2d |
|
15 |
7 14
|
eqtrd |
|
16 |
15
|
mpteq2dva |
|
17 |
|
ax-icn |
|
18 |
|
mulcl |
|
19 |
17 10 18
|
sylancr |
|
20 |
|
addcl |
|
21 |
8 19 20
|
syl2an |
|
22 |
21
|
anandirs |
|
23 |
|
reex |
|
24 |
23
|
a1i |
|
25 |
2
|
adantlr |
|
26 |
|
ovexd |
|
27 |
1
|
feqmptd |
|
28 |
27
|
adantr |
|
29 |
23
|
a1i |
|
30 |
17
|
a1i |
|
31 |
|
fconstmpt |
|
32 |
31
|
a1i |
|
33 |
3
|
feqmptd |
|
34 |
29 30 4 32 33
|
offval2 |
|
35 |
34
|
adantl |
|
36 |
24 25 26 28 35
|
offval2 |
|
37 |
|
absf |
|
38 |
37
|
a1i |
|
39 |
38
|
feqmptd |
|
40 |
|
fveq2 |
|
41 |
22 36 39 40
|
fmptco |
|
42 |
8 8
|
mulcld |
|
43 |
10 10
|
mulcld |
|
44 |
|
addcl |
|
45 |
42 43 44
|
syl2an |
|
46 |
45
|
anandirs |
|
47 |
42
|
adantlr |
|
48 |
43
|
adantll |
|
49 |
23
|
a1i |
|
50 |
49 2 2 27 27
|
offval2 |
|
51 |
50
|
adantr |
|
52 |
29 4 4 33 33
|
offval2 |
|
53 |
52
|
adantl |
|
54 |
24 47 48 51 53
|
offval2 |
|
55 |
|
sqrtf |
|
56 |
55
|
a1i |
|
57 |
56
|
feqmptd |
|
58 |
|
fveq2 |
|
59 |
46 54 57 58
|
fmptco |
|
60 |
16 41 59
|
3eqtr4d |
|
61 |
|
elrege0 |
|
62 |
|
resqrtcl |
|
63 |
61 62
|
sylbi |
|
64 |
63
|
adantl |
|
65 |
|
id |
|
66 |
65
|
feqmptd |
|
67 |
55 66
|
ax-mp |
|
68 |
67
|
reseq1i |
|
69 |
|
rge0ssre |
|
70 |
|
ax-resscn |
|
71 |
69 70
|
sstri |
|
72 |
|
resmpt |
|
73 |
71 72
|
ax-mp |
|
74 |
68 73
|
eqtri |
|
75 |
64 74
|
fmptd |
|
76 |
|
ge0addcl |
|
77 |
76
|
adantl |
|
78 |
|
oveq12 |
|
79 |
78
|
anidms |
|
80 |
79
|
feq1d |
|
81 |
|
i1ff |
|
82 |
81
|
ffvelrnda |
|
83 |
82 82
|
remulcld |
|
84 |
82
|
msqge0d |
|
85 |
|
elrege0 |
|
86 |
83 84 85
|
sylanbrc |
|
87 |
86
|
fmpttd |
|
88 |
23
|
a1i |
|
89 |
81
|
feqmptd |
|
90 |
88 82 82 89 89
|
offval2 |
|
91 |
90
|
feq1d |
|
92 |
87 91
|
mpbird |
|
93 |
80 92
|
vtoclga |
|
94 |
93
|
adantr |
|
95 |
|
oveq12 |
|
96 |
95
|
anidms |
|
97 |
96
|
feq1d |
|
98 |
97 92
|
vtoclga |
|
99 |
98
|
adantl |
|
100 |
|
inidm |
|
101 |
77 94 99 24 24 100
|
off |
|
102 |
|
fco2 |
|
103 |
75 101 102
|
syl2anc |
|
104 |
|
rnco |
|
105 |
|
ffn |
|
106 |
55 105
|
ax-mp |
|
107 |
|
readdcl |
|
108 |
107
|
adantl |
|
109 |
|
remulcl |
|
110 |
109
|
adantl |
|
111 |
110 1 1 49 49 100
|
off |
|
112 |
111
|
adantr |
|
113 |
109
|
adantl |
|
114 |
113 3 3 29 29 100
|
off |
|
115 |
114
|
adantl |
|
116 |
108 112 115 24 24 100
|
off |
|
117 |
116
|
frnd |
|
118 |
117 70
|
sstrdi |
|
119 |
|
fnssres |
|
120 |
106 118 119
|
sylancr |
|
121 |
|
id |
|
122 |
121 121
|
i1fmul |
|
123 |
122
|
adantr |
|
124 |
|
id |
|
125 |
124 124
|
i1fmul |
|
126 |
125
|
adantl |
|
127 |
123 126
|
i1fadd |
|
128 |
|
i1frn |
|
129 |
127 128
|
syl |
|
130 |
|
fnfi |
|
131 |
120 129 130
|
syl2anc |
|
132 |
|
rnfi |
|
133 |
131 132
|
syl |
|
134 |
104 133
|
eqeltrid |
|
135 |
|
cnvco |
|
136 |
135
|
imaeq1i |
|
137 |
|
imaco |
|
138 |
136 137
|
eqtri |
|
139 |
|
i1fima |
|
140 |
127 139
|
syl |
|
141 |
138 140
|
eqeltrid |
|
142 |
141
|
adantr |
|
143 |
138
|
fveq2i |
|
144 |
|
eldifsni |
|
145 |
|
c0ex |
|
146 |
145
|
elsn |
|
147 |
|
eqcom |
|
148 |
146 147
|
bitri |
|
149 |
148
|
necon3bbii |
|
150 |
|
sqrt0 |
|
151 |
150
|
eleq1i |
|
152 |
149 151
|
xchnxbir |
|
153 |
144 152
|
sylibr |
|
154 |
153
|
olcd |
|
155 |
|
ianor |
|
156 |
|
elpreima |
|
157 |
55 105 156
|
mp2b |
|
158 |
155 157
|
xchnxbir |
|
159 |
154 158
|
sylibr |
|
160 |
|
i1fima2 |
|
161 |
127 159 160
|
syl2an |
|
162 |
143 161
|
eqeltrid |
|
163 |
103 134 142 162
|
i1fd |
|
164 |
60 163
|
eqeltrd |
|