Step |
Hyp |
Ref |
Expression |
1 |
|
metust.1 |
|
2 |
1
|
metust |
|
3 |
|
cfilufbas |
|
4 |
2 3
|
sylan |
|
5 |
|
simpllr |
|
6 |
|
psmetf |
|
7 |
|
ffun |
|
8 |
5 6 7
|
3syl |
|
9 |
2
|
ad2antrr |
|
10 |
|
simplr |
|
11 |
1
|
metustfbas |
|
12 |
11
|
ad2antrr |
|
13 |
|
cnvimass |
|
14 |
|
fdm |
|
15 |
5 6 14
|
3syl |
|
16 |
13 15
|
sseqtrid |
|
17 |
|
simpr |
|
18 |
17
|
rphalfcld |
|
19 |
|
eqidd |
|
20 |
|
oveq2 |
|
21 |
20
|
imaeq2d |
|
22 |
21
|
rspceeqv |
|
23 |
18 19 22
|
syl2anc |
|
24 |
1
|
metustel |
|
25 |
24
|
biimpar |
|
26 |
5 23 25
|
syl2anc |
|
27 |
|
0xr |
|
28 |
27
|
a1i |
|
29 |
|
rpxr |
|
30 |
|
0le0 |
|
31 |
30
|
a1i |
|
32 |
|
rpre |
|
33 |
32
|
rehalfcld |
|
34 |
|
rphalflt |
|
35 |
33 32 34
|
ltled |
|
36 |
|
icossico |
|
37 |
28 29 31 35 36
|
syl22anc |
|
38 |
|
imass2 |
|
39 |
17 37 38
|
3syl |
|
40 |
|
sseq1 |
|
41 |
40
|
rspcev |
|
42 |
26 39 41
|
syl2anc |
|
43 |
|
elfg |
|
44 |
43
|
biimpar |
|
45 |
12 16 42 44
|
syl12anc |
|
46 |
|
cfiluexsm |
|
47 |
9 10 45 46
|
syl3anc |
|
48 |
|
funimass2 |
|
49 |
48
|
ex |
|
50 |
49
|
reximdv |
|
51 |
8 47 50
|
sylc |
|
52 |
51
|
ralrimiva |
|
53 |
4 52
|
jca |
|
54 |
|
simprl |
|
55 |
|
oveq2 |
|
56 |
55
|
sseq2d |
|
57 |
56
|
rexbidv |
|
58 |
|
simp-4r |
|
59 |
58
|
simprd |
|
60 |
|
simplr |
|
61 |
57 59 60
|
rspcdva |
|
62 |
|
nfv |
|
63 |
|
nfv |
|
64 |
|
nfcv |
|
65 |
|
nfre1 |
|
66 |
64 65
|
nfralw |
|
67 |
63 66
|
nfan |
|
68 |
62 67
|
nfan |
|
69 |
|
nfv |
|
70 |
68 69
|
nfan |
|
71 |
|
nfv |
|
72 |
70 71
|
nfan |
|
73 |
|
nfv |
|
74 |
72 73
|
nfan |
|
75 |
54
|
ad4antr |
|
76 |
|
fbelss |
|
77 |
75 76
|
sylancom |
|
78 |
|
xpss12 |
|
79 |
77 77 78
|
syl2anc |
|
80 |
|
simp-6r |
|
81 |
80 6 14
|
3syl |
|
82 |
79 81
|
sseqtrrd |
|
83 |
82
|
ex |
|
84 |
74 83
|
ralrimi |
|
85 |
|
r19.29r |
|
86 |
|
sseqin2 |
|
87 |
86
|
biimpi |
|
88 |
87
|
adantl |
|
89 |
|
dminss |
|
90 |
88 89
|
eqsstrrdi |
|
91 |
|
imass2 |
|
92 |
91
|
adantr |
|
93 |
90 92
|
sstrd |
|
94 |
93
|
reximi |
|
95 |
85 94
|
syl |
|
96 |
61 84 95
|
syl2anc |
|
97 |
|
r19.41v |
|
98 |
|
sstr |
|
99 |
98
|
reximi |
|
100 |
97 99
|
sylbir |
|
101 |
96 100
|
sylancom |
|
102 |
|
simp-5r |
|
103 |
|
simplr |
|
104 |
1
|
metustel |
|
105 |
104
|
biimpa |
|
106 |
102 103 105
|
syl2anc |
|
107 |
|
r19.41v |
|
108 |
|
sseq1 |
|
109 |
108
|
biimpa |
|
110 |
109
|
reximi |
|
111 |
107 110
|
sylbir |
|
112 |
106 111
|
sylancom |
|
113 |
11
|
ad2antrr |
|
114 |
|
elfg |
|
115 |
114
|
biimpa |
|
116 |
113 115
|
sylancom |
|
117 |
116
|
simprd |
|
118 |
112 117
|
r19.29a |
|
119 |
101 118
|
r19.29a |
|
120 |
119
|
ralrimiva |
|
121 |
2
|
adantr |
|
122 |
|
iscfilu |
|
123 |
121 122
|
syl |
|
124 |
54 120 123
|
mpbir2and |
|
125 |
53 124
|
impbida |
|