Step |
Hyp |
Ref |
Expression |
1 |
|
stoweidlem41.1 |
|
2 |
|
stoweidlem41.2 |
|
3 |
|
stoweidlem41.3 |
|
4 |
|
stoweidlem41.4 |
|
5 |
|
stoweidlem41.5 |
|
6 |
|
stoweidlem41.6 |
|
7 |
|
stoweidlem41.7 |
|
8 |
|
stoweidlem41.8 |
|
9 |
|
stoweidlem41.9 |
|
10 |
|
stoweidlem41.10 |
|
11 |
|
stoweidlem41.11 |
|
12 |
|
stoweidlem41.12 |
|
13 |
|
stoweidlem41.13 |
|
14 |
|
stoweidlem41.14 |
|
15 |
|
1re |
|
16 |
3
|
fvmpt2 |
|
17 |
15 16
|
mpan2 |
|
18 |
17
|
adantl |
|
19 |
18
|
oveq1d |
|
20 |
1 19
|
mpteq2da |
|
21 |
20 2
|
eqtr4di |
|
22 |
10
|
stoweidlem4 |
|
23 |
15 22
|
mpan2 |
|
24 |
3 23
|
eqeltrid |
|
25 |
|
nfmpt1 |
|
26 |
3 25
|
nfcxfr |
|
27 |
|
nfcv |
|
28 |
26 27 1 7 8 9 10
|
stoweidlem33 |
|
29 |
24 5 28
|
mpd3an23 |
|
30 |
21 29
|
eqeltrrd |
|
31 |
6
|
ffvelrnda |
|
32 |
|
1red |
|
33 |
|
0red |
|
34 |
12
|
r19.21bi |
|
35 |
34
|
simprd |
|
36 |
|
1m0e1 |
|
37 |
35 36
|
breqtrrdi |
|
38 |
31 32 33 37
|
lesubd |
|
39 |
|
simpr |
|
40 |
32 31
|
resubcld |
|
41 |
2
|
fvmpt2 |
|
42 |
39 40 41
|
syl2anc |
|
43 |
38 42
|
breqtrrd |
|
44 |
34
|
simpld |
|
45 |
33 31 32 44
|
lesub2dd |
|
46 |
45 36
|
breqtrdi |
|
47 |
42 46
|
eqbrtrd |
|
48 |
43 47
|
jca |
|
49 |
48
|
ex |
|
50 |
1 49
|
ralrimi |
|
51 |
4
|
sseli |
|
52 |
51 42
|
sylan2 |
|
53 |
|
1red |
|
54 |
11
|
rpred |
|
55 |
54
|
adantr |
|
56 |
51 31
|
sylan2 |
|
57 |
13
|
r19.21bi |
|
58 |
53 55 56 57
|
ltsub23d |
|
59 |
52 58
|
eqbrtrd |
|
60 |
59
|
ex |
|
61 |
1 60
|
ralrimi |
|
62 |
|
eldifi |
|
63 |
62 31
|
sylan2 |
|
64 |
54
|
adantr |
|
65 |
|
1red |
|
66 |
14
|
r19.21bi |
|
67 |
63 64 65 66
|
ltsub2dd |
|
68 |
62 42
|
sylan2 |
|
69 |
67 68
|
breqtrrd |
|
70 |
69
|
ex |
|
71 |
1 70
|
ralrimi |
|
72 |
|
nfmpt1 |
|
73 |
2 72
|
nfcxfr |
|
74 |
73
|
nfeq2 |
|
75 |
|
fveq1 |
|
76 |
75
|
breq2d |
|
77 |
75
|
breq1d |
|
78 |
76 77
|
anbi12d |
|
79 |
74 78
|
ralbid |
|
80 |
75
|
breq1d |
|
81 |
74 80
|
ralbid |
|
82 |
75
|
breq2d |
|
83 |
74 82
|
ralbid |
|
84 |
79 81 83
|
3anbi123d |
|
85 |
84
|
rspcev |
|
86 |
30 50 61 71 85
|
syl13anc |
|