Step |
Hyp |
Ref |
Expression |
1 |
|
ovolshft.1 |
|
2 |
|
ovolshft.2 |
|
3 |
|
ovolshft.3 |
|
4 |
|
ovolshft.4 |
|
5 |
|
ovolshft.5 |
|
6 |
|
ovolshft.6 |
|
7 |
|
ovolshft.7 |
|
8 |
|
ovolshft.8 |
|
9 |
|
ovolfcl |
|
10 |
7 9
|
sylan |
|
11 |
10
|
simp1d |
|
12 |
10
|
simp2d |
|
13 |
2
|
adantr |
|
14 |
10
|
simp3d |
|
15 |
11 12 13 14
|
leadd1dd |
|
16 |
|
df-br |
|
17 |
15 16
|
sylib |
|
18 |
11 13
|
readdcld |
|
19 |
12 13
|
readdcld |
|
20 |
18 19
|
opelxpd |
|
21 |
17 20
|
elind |
|
22 |
21 6
|
fmptd |
|
23 |
|
eqid |
|
24 |
23
|
ovolfsf |
|
25 |
|
ffn |
|
26 |
22 24 25
|
3syl |
|
27 |
|
eqid |
|
28 |
27
|
ovolfsf |
|
29 |
|
ffn |
|
30 |
7 28 29
|
3syl |
|
31 |
|
opex |
|
32 |
6
|
fvmpt2 |
|
33 |
31 32
|
mpan2 |
|
34 |
33
|
fveq2d |
|
35 |
|
ovex |
|
36 |
|
ovex |
|
37 |
35 36
|
op2nd |
|
38 |
34 37
|
eqtrdi |
|
39 |
33
|
fveq2d |
|
40 |
35 36
|
op1st |
|
41 |
39 40
|
eqtrdi |
|
42 |
38 41
|
oveq12d |
|
43 |
42
|
adantl |
|
44 |
12
|
recnd |
|
45 |
11
|
recnd |
|
46 |
13
|
recnd |
|
47 |
44 45 46
|
pnpcan2d |
|
48 |
43 47
|
eqtrd |
|
49 |
23
|
ovolfsval |
|
50 |
22 49
|
sylan |
|
51 |
27
|
ovolfsval |
|
52 |
7 51
|
sylan |
|
53 |
48 50 52
|
3eqtr4d |
|
54 |
26 30 53
|
eqfnfvd |
|
55 |
54
|
seqeq3d |
|
56 |
55 5
|
eqtr4di |
|
57 |
56
|
rneqd |
|
58 |
57
|
supeq1d |
|
59 |
3
|
eleq2d |
|
60 |
|
oveq1 |
|
61 |
60
|
eleq1d |
|
62 |
61
|
elrab |
|
63 |
59 62
|
bitrdi |
|
64 |
63
|
biimpa |
|
65 |
|
breq2 |
|
66 |
|
breq1 |
|
67 |
65 66
|
anbi12d |
|
68 |
67
|
rexbidv |
|
69 |
|
ovolfioo |
|
70 |
1 7 69
|
syl2anc |
|
71 |
8 70
|
mpbid |
|
72 |
71
|
adantr |
|
73 |
|
simprr |
|
74 |
68 72 73
|
rspcdva |
|
75 |
41
|
adantl |
|
76 |
75
|
breq1d |
|
77 |
11
|
adantlr |
|
78 |
2
|
ad2antrr |
|
79 |
|
simplrl |
|
80 |
77 78 79
|
ltaddsubd |
|
81 |
76 80
|
bitrd |
|
82 |
38
|
adantl |
|
83 |
82
|
breq2d |
|
84 |
12
|
adantlr |
|
85 |
79 78 84
|
ltsubaddd |
|
86 |
83 85
|
bitr4d |
|
87 |
81 86
|
anbi12d |
|
88 |
87
|
rexbidva |
|
89 |
74 88
|
mpbird |
|
90 |
64 89
|
syldan |
|
91 |
90
|
ralrimiva |
|
92 |
|
ssrab2 |
|
93 |
3 92
|
eqsstrdi |
|
94 |
|
ovolfioo |
|
95 |
93 22 94
|
syl2anc |
|
96 |
91 95
|
mpbird |
|
97 |
|
eqid |
|
98 |
4 97
|
elovolmr |
|
99 |
22 96 98
|
syl2anc |
|
100 |
58 99
|
eqeltrrd |
|