Step | Hyp | Ref
| Expression |
1 | | nfcv 2764 |
. . 3
|
2 | | stoweidlem52.3 |
. . 3
|
3 | | stoweidlem52.2 |
. . 3
|
4 | | stoweidlem52.4 |
. . 3
|
5 | | stoweidlem52.7 |
. . 3
|
6 | | stoweidlem52.5 |
. . 3
|
7 | | stoweidlem52.13 |
. . . . . 6
|
8 | 7 | rpred 11872 |
. . . . 5
|
9 | 8 | rehalfcld 11279 |
. . . 4
|
10 | 9 | rexrd 10089 |
. . 3
|
11 | | stoweidlem52.9 |
. . . . 5
|
12 | | stoweidlem52.8 |
. . . . 5
|
13 | 11, 12 | syl6sseq 3651 |
. . . 4
|
14 | | stoweidlem52.17 |
. . . 4
|
15 | 13, 14 | sseldd 3604 |
. . 3
|
16 | 1, 2, 3, 4, 5, 6, 10, 15 | rfcnpre2 39190 |
. 2
|
17 | | stoweidlem52.15 |
. . . . . . . 8
|
18 | | elssuni 4467 |
. . . . . . . 8
|
19 | 17, 18 | syl 17 |
. . . . . . 7
|
20 | 19, 5 | syl6sseqr 3652 |
. . . . . 6
|
21 | | stoweidlem52.16 |
. . . . . 6
|
22 | 20, 21 | sseldd 3604 |
. . . . 5
|
23 | | stoweidlem52.19 |
. . . . . 6
|
24 | | 2re 11090 |
. . . . . . . 8
|
25 | 24 | a1i 11 |
. . . . . . 7
|
26 | 7 | rpgt0d 11875 |
. . . . . . 7
|
27 | | 2pos 11112 |
. . . . . . . 8
|
28 | 27 | a1i 11 |
. . . . . . 7
|
29 | 8, 25, 26, 28 | divgt0d 10959 |
. . . . . 6
|
30 | 23, 29 | eqbrtrd 4675 |
. . . . 5
|
31 | | nfcv 2764 |
. . . . . 6
|
32 | | nfcv 2764 |
. . . . . 6
|
33 | 2, 31 | nffv 6198 |
. . . . . . 7
|
34 | | nfcv 2764 |
. . . . . . 7
|
35 | 33, 34, 1 | nfbr 4699 |
. . . . . 6
|
36 | | fveq2 6191 |
. . . . . . 7
|
37 | 36 | breq1d 4663 |
. . . . . 6
|
38 | 31, 32, 35, 37 | elrabf 3360 |
. . . . 5
|
39 | 22, 30, 38 | sylanbrc 698 |
. . . 4
|
40 | 39, 6 | syl6eleqr 2712 |
. . 3
|
41 | | nfrab1 3122 |
. . . . 5
|
42 | 6, 41 | nfcxfr 2762 |
. . . 4
|
43 | | stoweidlem52.1 |
. . . 4
|
44 | 11, 14 | sseldd 3604 |
. . . . . . . . . . 11
|
45 | 4, 5, 12, 44 | fcnre 39184 |
. . . . . . . . . 10
|
46 | 45 | adantr 481 |
. . . . . . . . 9
|
47 | 6 | rabeq2i 3197 |
. . . . . . . . . . . 12
|
48 | 47 | biimpi 206 |
. . . . . . . . . . 11
|
49 | 48 | adantl 482 |
. . . . . . . . . 10
|
50 | 49 | simpld 475 |
. . . . . . . . 9
|
51 | 46, 50 | ffvelrnd 6360 |
. . . . . . . 8
|
52 | 9 | adantr 481 |
. . . . . . . 8
|
53 | 8 | adantr 481 |
. . . . . . . 8
|
54 | 49 | simprd 479 |
. . . . . . . 8
|
55 | | halfpos 11262 |
. . . . . . . . . . 11
|
56 | 8, 55 | syl 17 |
. . . . . . . . . 10
|
57 | 26, 56 | mpbid 222 |
. . . . . . . . 9
|
58 | 57 | adantr 481 |
. . . . . . . 8
|
59 | 51, 52, 53, 54, 58 | lttrd 10198 |
. . . . . . 7
|
60 | 59 | adantr 481 |
. . . . . 6
|
61 | 8 | ad2antrr 762 |
. . . . . . 7
|
62 | 51 | adantr 481 |
. . . . . . 7
|
63 | | stoweidlem52.20 |
. . . . . . . . 9
|
64 | 63 | ad2antrr 762 |
. . . . . . . 8
|
65 | 50 | anim1i 592 |
. . . . . . . . 9
|
66 | | eldif 3584 |
. . . . . . . . 9
|
67 | 65, 66 | sylibr 224 |
. . . . . . . 8
|
68 | | rsp 2929 |
. . . . . . . 8
|
69 | 64, 67, 68 | sylc 65 |
. . . . . . 7
|
70 | 61, 62, 69 | lensymd 10188 |
. . . . . 6
|
71 | 60, 70 | condan 835 |
. . . . 5
|
72 | 71 | ex 450 |
. . . 4
|
73 | 3, 42, 43, 72 | ssrd 3608 |
. . 3
|
74 | | nfv 1843 |
. . . . . . . . 9
|
75 | 3, 74 | nfan 1828 |
. . . . . . . 8
|
76 | | nfv 1843 |
. . . . . . . 8
|
77 | 75, 76 | nfan 1828 |
. . . . . . 7
|
78 | | nfra1 2941 |
. . . . . . . 8
|
79 | | nfra1 2941 |
. . . . . . . 8
|
80 | | nfra1 2941 |
. . . . . . . 8
|
81 | 78, 79, 80 | nf3an 1831 |
. . . . . . 7
|
82 | 77, 81 | nfan 1828 |
. . . . . 6
|
83 | | eqid 2622 |
. . . . . 6
|
84 | | eqid 2622 |
. . . . . 6
|
85 | | ssrab2 3687 |
. . . . . . 7
|
86 | 6, 85 | eqsstri 3635 |
. . . . . 6
|
87 | | simplr 792 |
. . . . . 6
|
88 | | simplll 798 |
. . . . . . 7
|
89 | 11 | sselda 3603 |
. . . . . . . 8
|
90 | 4, 5, 12, 89 | fcnre 39184 |
. . . . . . 7
|
91 | 88, 87, 90 | syl2anc 693 |
. . . . . 6
|
92 | 11 | sselda 3603 |
. . . . . . . 8
|
93 | 4, 5, 12, 92 | fcnre 39184 |
. . . . . . 7
|
94 | 88, 93 | sylan 488 |
. . . . . 6
|
95 | | stoweidlem52.10 |
. . . . . . 7
|
96 | 88, 95 | syl3an1 1359 |
. . . . . 6
|
97 | | stoweidlem52.11 |
. . . . . . 7
|
98 | 88, 97 | syl3an1 1359 |
. . . . . 6
|
99 | | stoweidlem52.12 |
. . . . . . 7
|
100 | 88, 99 | sylan 488 |
. . . . . 6
|
101 | | simpllr 799 |
. . . . . 6
|
102 | | simpr1 1067 |
. . . . . 6
|
103 | | simpr2 1068 |
. . . . . 6
|
104 | | simpr3 1069 |
. . . . . 6
|
105 | 82, 83, 84, 86, 87, 91, 94, 96, 98, 100, 101, 102, 103, 104 | stoweidlem41 40258 |
. . . . 5
|
106 | 7 | adantr 481 |
. . . . . 6
|
107 | | stoweidlem52.14 |
. . . . . . 7
|
108 | 107 | adantr 481 |
. . . . . 6
|
109 | 14 | adantr 481 |
. . . . . 6
|
110 | 45 | adantr 481 |
. . . . . 6
|
111 | | stoweidlem52.18 |
. . . . . . 7
|
112 | 111 | adantr 481 |
. . . . . 6
|
113 | 63 | adantr 481 |
. . . . . 6
|
114 | 93 | adantlr 751 |
. . . . . 6
|
115 | 95 | 3adant1r 1319 |
. . . . . 6
|
116 | 97 | 3adant1r 1319 |
. . . . . 6
|
117 | 99 | adantlr 751 |
. . . . . 6
|
118 | | simpr 477 |
. . . . . 6
|
119 | 2, 75, 6, 106, 108, 109, 110, 112, 113, 114, 115, 116, 117, 118 | stoweidlem49 40266 |
. . . . 5
|
120 | 105, 119 | r19.29a 3078 |
. . . 4
|
121 | 120 | ralrimiva 2966 |
. . 3
|
122 | 40, 73, 121 | jca31 557 |
. 2
|
123 | | eleq2 2690 |
. . . . 5
|
124 | | sseq1 3626 |
. . . . 5
|
125 | 123, 124 | anbi12d 747 |
. . . 4
|
126 | | nfcv 2764 |
. . . . . . . 8
|
127 | 126, 42 | raleqf 3134 |
. . . . . . 7
|
128 | 127 | 3anbi2d 1404 |
. . . . . 6
|
129 | 128 | rexbidv 3052 |
. . . . 5
|
130 | 129 | ralbidv 2986 |
. . . 4
|
131 | 125, 130 | anbi12d 747 |
. . 3
|
132 | 131 | rspcev 3309 |
. 2
|
133 | 16, 122, 132 | syl2anc 693 |
1
|