Step |
Hyp |
Ref |
Expression |
1 |
|
neglimc.f |
|
2 |
|
neglimc.g |
|
3 |
|
neglimc.b |
|
4 |
|
neglimc.c |
|
5 |
|
limccl |
|
6 |
5 4
|
sseldi |
|
7 |
6
|
negcld |
|
8 |
3 1
|
fmptd |
|
9 |
1 3 4
|
limcmptdm |
|
10 |
|
limcrcl |
|
11 |
4 10
|
syl |
|
12 |
11
|
simp3d |
|
13 |
8 9 12
|
ellimc3 |
|
14 |
4 13
|
mpbid |
|
15 |
14
|
simprd |
|
16 |
15
|
r19.21bi |
|
17 |
|
simplll |
|
18 |
17
|
3ad2ant1 |
|
19 |
|
simp1r |
|
20 |
|
simp3 |
|
21 |
|
simp2 |
|
22 |
20 21
|
mpd |
|
23 |
|
nfv |
|
24 |
|
nfmpt1 |
|
25 |
2 24
|
nfcxfr |
|
26 |
|
nfcv |
|
27 |
25 26
|
nffv |
|
28 |
|
nfmpt1 |
|
29 |
1 28
|
nfcxfr |
|
30 |
29 26
|
nffv |
|
31 |
30
|
nfneg |
|
32 |
27 31
|
nfeq |
|
33 |
23 32
|
nfim |
|
34 |
|
eleq1w |
|
35 |
34
|
anbi2d |
|
36 |
|
fveq2 |
|
37 |
|
fveq2 |
|
38 |
37
|
negeqd |
|
39 |
36 38
|
eqeq12d |
|
40 |
35 39
|
imbi12d |
|
41 |
|
simpr |
|
42 |
3
|
negcld |
|
43 |
2
|
fvmpt2 |
|
44 |
41 42 43
|
syl2anc |
|
45 |
1
|
fvmpt2 |
|
46 |
41 3 45
|
syl2anc |
|
47 |
46
|
negeqd |
|
48 |
44 47
|
eqtr4d |
|
49 |
33 40 48
|
chvarfv |
|
50 |
49
|
oveq1d |
|
51 |
8
|
ffvelrnda |
|
52 |
6
|
adantr |
|
53 |
51 52
|
negsubdi3d |
|
54 |
50 53
|
eqtr4d |
|
55 |
54
|
fveq2d |
|
56 |
51 52
|
subcld |
|
57 |
56
|
absnegd |
|
58 |
55 57
|
eqtrd |
|
59 |
58
|
adantr |
|
60 |
|
simpr |
|
61 |
59 60
|
eqbrtrd |
|
62 |
18 19 22 61
|
syl21anc |
|
63 |
62
|
3exp |
|
64 |
63
|
ralimdva |
|
65 |
64
|
reximdva |
|
66 |
16 65
|
mpd |
|
67 |
66
|
ralrimiva |
|
68 |
42 2
|
fmptd |
|
69 |
68 9 12
|
ellimc3 |
|
70 |
7 67 69
|
mpbir2and |
|