Step |
Hyp |
Ref |
Expression |
1 |
|
itg2i1fseq.1 |
|
2 |
|
itg2i1fseq.2 |
|
3 |
|
itg2i1fseq.3 |
|
4 |
|
itg2i1fseq.4 |
|
5 |
|
itg2i1fseq.5 |
|
6 |
|
itg2i1fseq.6 |
|
7 |
|
fveq2 |
|
8 |
7
|
fveq1d |
|
9 |
8
|
cbvmptv |
|
10 |
|
fveq2 |
|
11 |
10
|
mpteq2dv |
|
12 |
9 11
|
syl5eq |
|
13 |
12
|
rneqd |
|
14 |
13
|
supeq1d |
|
15 |
14
|
cbvmptv |
|
16 |
3
|
ffvelrnda |
|
17 |
|
i1fmbf |
|
18 |
16 17
|
syl |
|
19 |
|
i1ff |
|
20 |
16 19
|
syl |
|
21 |
7
|
breq2d |
|
22 |
|
fvoveq1 |
|
23 |
7 22
|
breq12d |
|
24 |
21 23
|
anbi12d |
|
25 |
24
|
rspccva |
|
26 |
4 25
|
sylan |
|
27 |
26
|
simpld |
|
28 |
|
0plef |
|
29 |
20 27 28
|
sylanbrc |
|
30 |
26
|
simprd |
|
31 |
|
rge0ssre |
|
32 |
2
|
ffvelrnda |
|
33 |
31 32
|
sseldi |
|
34 |
1 2 3 4 5
|
itg2i1fseqle |
|
35 |
20
|
ffnd |
|
36 |
2
|
ffnd |
|
37 |
36
|
adantr |
|
38 |
|
reex |
|
39 |
38
|
a1i |
|
40 |
|
inidm |
|
41 |
|
eqidd |
|
42 |
|
eqidd |
|
43 |
35 37 39 39 40 41 42
|
ofrfval |
|
44 |
34 43
|
mpbid |
|
45 |
44
|
r19.21bi |
|
46 |
45
|
an32s |
|
47 |
46
|
ralrimiva |
|
48 |
|
brralrspcev |
|
49 |
33 47 48
|
syl2anc |
|
50 |
7
|
fveq2d |
|
51 |
50
|
cbvmptv |
|
52 |
51
|
rneqi |
|
53 |
52
|
supeq1i |
|
54 |
15 18 29 30 49 53
|
itg2mono |
|
55 |
2
|
feqmptd |
|
56 |
7
|
fveq1d |
|
57 |
56
|
cbvmptv |
|
58 |
57
|
rneqi |
|
59 |
58
|
supeq1i |
|
60 |
|
nnuz |
|
61 |
|
1zzd |
|
62 |
20
|
ffvelrnda |
|
63 |
62
|
an32s |
|
64 |
63 57
|
fmptd |
|
65 |
|
peano2nn |
|
66 |
|
ffvelrn |
|
67 |
3 65 66
|
syl2an |
|
68 |
|
i1ff |
|
69 |
67 68
|
syl |
|
70 |
69
|
ffnd |
|
71 |
|
eqidd |
|
72 |
35 70 39 39 40 41 71
|
ofrfval |
|
73 |
30 72
|
mpbid |
|
74 |
73
|
r19.21bi |
|
75 |
74
|
an32s |
|
76 |
|
eqid |
|
77 |
|
fvex |
|
78 |
56 76 77
|
fvmpt |
|
79 |
78
|
adantl |
|
80 |
|
fveq2 |
|
81 |
80
|
fveq1d |
|
82 |
|
fvex |
|
83 |
81 76 82
|
fvmpt |
|
84 |
65 83
|
syl |
|
85 |
84
|
adantl |
|
86 |
75 79 85
|
3brtr4d |
|
87 |
78
|
breq1d |
|
88 |
87
|
ralbiia |
|
89 |
88
|
rexbii |
|
90 |
49 89
|
sylibr |
|
91 |
60 61 64 86 90
|
climsup |
|
92 |
|
fveq2 |
|
93 |
92
|
mpteq2dv |
|
94 |
|
fveq2 |
|
95 |
93 94
|
breq12d |
|
96 |
95
|
rspccva |
|
97 |
5 96
|
sylan |
|
98 |
|
climuni |
|
99 |
91 97 98
|
syl2anc |
|
100 |
59 99
|
syl5eqr |
|
101 |
100
|
mpteq2dva |
|
102 |
55 101
|
eqtr4d |
|
103 |
102 15
|
eqtr4di |
|
104 |
103
|
fveq2d |
|
105 |
|
itg2itg1 |
|
106 |
16 27 105
|
syl2anc |
|
107 |
106
|
mpteq2dva |
|
108 |
6 107
|
eqtr4id |
|
109 |
108 51
|
eqtr4di |
|
110 |
109
|
rneqd |
|
111 |
110
|
supeq1d |
|
112 |
54 104 111
|
3eqtr4d |
|