Step |
Hyp |
Ref |
Expression |
1 |
|
r19.26 |
|
2 |
|
eqid |
|
3 |
|
eqid |
|
4 |
2 3
|
voliun |
|
5 |
1 4
|
sylanbr |
|
6 |
5
|
an32s |
|
7 |
|
nfra1 |
|
8 |
|
nfra1 |
|
9 |
7 8
|
nfan |
|
10 |
|
simpr |
|
11 |
|
rspa |
|
12 |
|
volf |
|
13 |
12
|
ffvelrni |
|
14 |
11 13
|
syl |
|
15 |
3
|
fvmpt2 |
|
16 |
10 14 15
|
syl2anc |
|
17 |
16
|
adantlr |
|
18 |
17
|
ex |
|
19 |
9 18
|
ralrimi |
|
20 |
9 19
|
esumeq2d |
|
21 |
|
simpr |
|
22 |
21
|
r19.21bi |
|
23 |
14
|
adantlr |
|
24 |
|
0xr |
|
25 |
|
pnfxr |
|
26 |
|
elicc1 |
|
27 |
24 25 26
|
mp2an |
|
28 |
27
|
simp2bi |
|
29 |
23 28
|
syl |
|
30 |
|
ltpnf |
|
31 |
22 30
|
syl |
|
32 |
|
0re |
|
33 |
|
elico2 |
|
34 |
32 25 33
|
mp2an |
|
35 |
22 29 31 34
|
syl3anbrc |
|
36 |
9 35 3
|
fmptdf |
|
37 |
|
nfmpt1 |
|
38 |
37
|
esumfsupre |
|
39 |
36 38
|
syl |
|
40 |
20 39
|
eqtr3d |
|
41 |
40
|
adantlr |
|
42 |
6 41
|
eqtr4d |
|
43 |
|
simpr |
|
44 |
|
nfv |
|
45 |
|
nfcv |
|
46 |
|
nfcsb1v |
|
47 |
45 46
|
nffv |
|
48 |
47
|
nfeq1 |
|
49 |
|
csbeq1a |
|
50 |
49
|
fveqeq2d |
|
51 |
44 48 50
|
cbvrexw |
|
52 |
43 51
|
sylib |
|
53 |
46
|
nfel1 |
|
54 |
49
|
eleq1d |
|
55 |
53 54
|
rspc |
|
56 |
55
|
impcom |
|
57 |
|
iunmbl |
|
58 |
57
|
adantr |
|
59 |
|
nfcv |
|
60 |
|
nfcv |
|
61 |
59 60 46 49
|
ssiun2sf |
|
62 |
61
|
adantl |
|
63 |
|
volss |
|
64 |
56 58 62 63
|
syl3anc |
|
65 |
64
|
adantlr |
|
66 |
65
|
adantlr |
|
67 |
66
|
ralrimiva |
|
68 |
|
r19.29r |
|
69 |
52 67 68
|
syl2anc |
|
70 |
|
breq1 |
|
71 |
70
|
biimpa |
|
72 |
71
|
reximi |
|
73 |
69 72
|
syl |
|
74 |
|
1nn |
|
75 |
|
ne0i |
|
76 |
|
r19.9rzv |
|
77 |
74 75 76
|
mp2b |
|
78 |
73 77
|
sylibr |
|
79 |
|
iccssxr |
|
80 |
12
|
ffvelrni |
|
81 |
79 80
|
sseldi |
|
82 |
57 81
|
syl |
|
83 |
82
|
ad2antrr |
|
84 |
|
xgepnf |
|
85 |
83 84
|
syl |
|
86 |
78 85
|
mpbid |
|
87 |
|
nfdisj1 |
|
88 |
7 87
|
nfan |
|
89 |
|
nfre1 |
|
90 |
88 89
|
nfan |
|
91 |
|
nnex |
|
92 |
91
|
a1i |
|
93 |
14
|
3ad2antr3 |
|
94 |
93
|
3anassrs |
|
95 |
90 92 94 43
|
esumpinfval |
|
96 |
86 95
|
eqtr4d |
|
97 |
|
exmid |
|
98 |
|
rexnal |
|
99 |
98
|
orbi2i |
|
100 |
97 99
|
mpbir |
|
101 |
|
r19.29 |
|
102 |
|
xrge0nre |
|
103 |
13 102
|
sylan |
|
104 |
103
|
reximi |
|
105 |
101 104
|
syl |
|
106 |
105
|
ex |
|
107 |
106
|
orim2d |
|
108 |
100 107
|
mpi |
|
109 |
108
|
adantr |
|
110 |
42 96 109
|
mpjaodan |
|