Step |
Hyp |
Ref |
Expression |
1 |
|
efgval.w |
|
2 |
|
efgval.r |
|
3 |
|
efgval2.m |
|
4 |
|
efgval2.t |
|
5 |
|
efgred.d |
|
6 |
|
efgred.s |
|
7 |
|
fviss |
|
8 |
1 7
|
eqsstri |
|
9 |
1 2 3 4 5 6
|
efgsf |
|
10 |
9
|
fdmi |
|
11 |
10
|
feq2i |
|
12 |
9 11
|
mpbir |
|
13 |
12
|
ffvelrni |
|
14 |
13
|
adantr |
|
15 |
8 14
|
sseldi |
|
16 |
|
lencl |
|
17 |
15 16
|
syl |
|
18 |
|
peano2nn0 |
|
19 |
17 18
|
syl |
|
20 |
|
breq2 |
|
21 |
20
|
imbi1d |
|
22 |
21
|
2ralbidv |
|
23 |
|
breq2 |
|
24 |
23
|
imbi1d |
|
25 |
24
|
2ralbidv |
|
26 |
|
breq2 |
|
27 |
26
|
imbi1d |
|
28 |
27
|
2ralbidv |
|
29 |
|
breq2 |
|
30 |
29
|
imbi1d |
|
31 |
30
|
2ralbidv |
|
32 |
12
|
ffvelrni |
|
33 |
8 32
|
sseldi |
|
34 |
|
lencl |
|
35 |
33 34
|
syl |
|
36 |
|
nn0nlt0 |
|
37 |
35 36
|
syl |
|
38 |
37
|
pm2.21d |
|
39 |
38
|
adantr |
|
40 |
39
|
rgen2 |
|
41 |
|
simpl1 |
|
42 |
|
simpl3l |
|
43 |
|
breq2 |
|
44 |
43
|
imbi1d |
|
45 |
44
|
2ralbidv |
|
46 |
42 45
|
syl |
|
47 |
41 46
|
mpbird |
|
48 |
|
simpl2l |
|
49 |
|
simpl2r |
|
50 |
|
simpl3r |
|
51 |
|
simpr |
|
52 |
1 2 3 4 5 6 47 48 49 50 51
|
efgredlem |
|
53 |
|
iman |
|
54 |
52 53
|
mpbir |
|
55 |
54
|
3expia |
|
56 |
55
|
expd |
|
57 |
56
|
ralrimivva |
|
58 |
|
2fveq3 |
|
59 |
58
|
eqeq1d |
|
60 |
|
fveqeq2 |
|
61 |
|
fveq1 |
|
62 |
61
|
eqeq1d |
|
63 |
60 62
|
imbi12d |
|
64 |
59 63
|
imbi12d |
|
65 |
|
fveq2 |
|
66 |
65
|
eqeq2d |
|
67 |
|
fveq1 |
|
68 |
67
|
eqeq2d |
|
69 |
66 68
|
imbi12d |
|
70 |
69
|
imbi2d |
|
71 |
64 70
|
cbvral2vw |
|
72 |
57 71
|
sylib |
|
73 |
72
|
ancli |
|
74 |
35
|
adantr |
|
75 |
|
nn0leltp1 |
|
76 |
|
nn0re |
|
77 |
|
nn0re |
|
78 |
|
leloe |
|
79 |
76 77 78
|
syl2an |
|
80 |
75 79
|
bitr3d |
|
81 |
80
|
ancoms |
|
82 |
74 81
|
sylan2 |
|
83 |
82
|
imbi1d |
|
84 |
|
jaob |
|
85 |
83 84
|
bitrdi |
|
86 |
85
|
2ralbidva |
|
87 |
|
r19.26-2 |
|
88 |
86 87
|
bitrdi |
|
89 |
73 88
|
syl5ibr |
|
90 |
22 25 28 31 40 89
|
nn0ind |
|
91 |
19 90
|
syl |
|
92 |
17
|
nn0red |
|
93 |
92
|
ltp1d |
|
94 |
|
2fveq3 |
|
95 |
94
|
breq1d |
|
96 |
|
fveqeq2 |
|
97 |
|
fveq1 |
|
98 |
97
|
eqeq1d |
|
99 |
96 98
|
imbi12d |
|
100 |
95 99
|
imbi12d |
|
101 |
|
fveq2 |
|
102 |
101
|
eqeq2d |
|
103 |
|
fveq1 |
|
104 |
103
|
eqeq2d |
|
105 |
102 104
|
imbi12d |
|
106 |
105
|
imbi2d |
|
107 |
100 106
|
rspc2v |
|
108 |
91 93 107
|
mp2d |
|
109 |
108
|
3impia |
|