Step |
Hyp |
Ref |
Expression |
1 |
|
poimir.0 |
|
2 |
|
poimirlem22.s |
|
3 |
|
poimirlem9.1 |
|
4 |
|
poimirlem5.2 |
|
5 |
|
fveq2 |
|
6 |
5
|
breq2d |
|
7 |
6
|
ifbid |
|
8 |
7
|
csbeq1d |
|
9 |
|
2fveq3 |
|
10 |
|
2fveq3 |
|
11 |
10
|
imaeq1d |
|
12 |
11
|
xpeq1d |
|
13 |
10
|
imaeq1d |
|
14 |
13
|
xpeq1d |
|
15 |
12 14
|
uneq12d |
|
16 |
9 15
|
oveq12d |
|
17 |
16
|
csbeq2dv |
|
18 |
8 17
|
eqtrd |
|
19 |
18
|
mpteq2dv |
|
20 |
19
|
eqeq2d |
|
21 |
20 2
|
elrab2 |
|
22 |
21
|
simprbi |
|
23 |
3 22
|
syl |
|
24 |
|
breq1 |
|
25 |
|
id |
|
26 |
24 25
|
ifbieq1d |
|
27 |
4
|
iftrued |
|
28 |
26 27
|
sylan9eqr |
|
29 |
28
|
csbeq1d |
|
30 |
|
c0ex |
|
31 |
|
oveq2 |
|
32 |
|
fz10 |
|
33 |
31 32
|
eqtrdi |
|
34 |
33
|
imaeq2d |
|
35 |
34
|
xpeq1d |
|
36 |
|
oveq1 |
|
37 |
|
0p1e1 |
|
38 |
36 37
|
eqtrdi |
|
39 |
38
|
oveq1d |
|
40 |
39
|
imaeq2d |
|
41 |
40
|
xpeq1d |
|
42 |
35 41
|
uneq12d |
|
43 |
|
ima0 |
|
44 |
43
|
xpeq1i |
|
45 |
|
0xp |
|
46 |
44 45
|
eqtri |
|
47 |
46
|
uneq1i |
|
48 |
|
uncom |
|
49 |
|
un0 |
|
50 |
47 48 49
|
3eqtri |
|
51 |
42 50
|
eqtrdi |
|
52 |
51
|
oveq2d |
|
53 |
30 52
|
csbie |
|
54 |
|
elrabi |
|
55 |
54 2
|
eleq2s |
|
56 |
3 55
|
syl |
|
57 |
|
xp1st |
|
58 |
56 57
|
syl |
|
59 |
|
xp2nd |
|
60 |
58 59
|
syl |
|
61 |
|
fvex |
|
62 |
|
f1oeq1 |
|
63 |
61 62
|
elab |
|
64 |
60 63
|
sylib |
|
65 |
|
f1ofo |
|
66 |
64 65
|
syl |
|
67 |
|
foima |
|
68 |
66 67
|
syl |
|
69 |
68
|
xpeq1d |
|
70 |
69
|
oveq2d |
|
71 |
53 70
|
syl5eq |
|
72 |
71
|
adantr |
|
73 |
29 72
|
eqtrd |
|
74 |
|
nnm1nn0 |
|
75 |
1 74
|
syl |
|
76 |
|
0elfz |
|
77 |
75 76
|
syl |
|
78 |
|
ovexd |
|
79 |
23 73 77 78
|
fvmptd |
|
80 |
|
ovexd |
|
81 |
|
xp1st |
|
82 |
58 81
|
syl |
|
83 |
|
elmapfn |
|
84 |
82 83
|
syl |
|
85 |
|
fnconstg |
|
86 |
30 85
|
mp1i |
|
87 |
|
eqidd |
|
88 |
30
|
fvconst2 |
|
89 |
88
|
adantl |
|
90 |
|
elmapi |
|
91 |
82 90
|
syl |
|
92 |
91
|
ffvelrnda |
|
93 |
|
elfzonn0 |
|
94 |
92 93
|
syl |
|
95 |
94
|
nn0cnd |
|
96 |
95
|
addid1d |
|
97 |
80 84 86 84 87 89 96
|
offveq |
|
98 |
79 97
|
eqtrd |
|