Step |
Hyp |
Ref |
Expression |
1 |
|
erdsze.n |
|
2 |
|
erdsze.f |
|
3 |
|
erdszelem.i |
|
4 |
|
erdszelem.j |
|
5 |
|
erdszelem.t |
|
6 |
|
ltso |
|
7 |
1 2 3 6
|
erdszelem6 |
|
8 |
7
|
ffvelrnda |
|
9 |
|
gtso |
|
10 |
1 2 4 9
|
erdszelem6 |
|
11 |
10
|
ffvelrnda |
|
12 |
|
opelxpi |
|
13 |
8 11 12
|
syl2anc |
|
14 |
13 5
|
fmptd |
|
15 |
|
fveq2 |
|
16 |
|
fveq2 |
|
17 |
15 16
|
eqeqan12d |
|
18 |
|
eqeq12 |
|
19 |
17 18
|
imbi12d |
|
20 |
|
fveq2 |
|
21 |
|
fveq2 |
|
22 |
20 21
|
eqeqan12d |
|
23 |
|
eqcom |
|
24 |
22 23
|
syl6bb |
|
25 |
|
eqeq12 |
|
26 |
|
eqcom |
|
27 |
25 26
|
syl6bb |
|
28 |
24 27
|
imbi12d |
|
29 |
|
elfzelz |
|
30 |
29
|
zred |
|
31 |
30
|
ssriv |
|
32 |
31
|
a1i |
|
33 |
|
biidd |
|
34 |
|
simpr1 |
|
35 |
|
fveq2 |
|
36 |
|
fveq2 |
|
37 |
35 36
|
opeq12d |
|
38 |
|
opex |
|
39 |
37 5 38
|
fvmpt |
|
40 |
34 39
|
syl |
|
41 |
|
simpr2 |
|
42 |
|
fveq2 |
|
43 |
|
fveq2 |
|
44 |
42 43
|
opeq12d |
|
45 |
|
opex |
|
46 |
44 5 45
|
fvmpt |
|
47 |
41 46
|
syl |
|
48 |
40 47
|
eqeq12d |
|
49 |
|
fvex |
|
50 |
|
fvex |
|
51 |
49 50
|
opth |
|
52 |
34 30
|
syl |
|
53 |
31 41
|
sseldi |
|
54 |
|
simpr3 |
|
55 |
52 53 54
|
leltned |
|
56 |
2
|
adantr |
|
57 |
|
f1fveq |
|
58 |
56 34 41 57
|
syl12anc |
|
59 |
58 26
|
bitr4di |
|
60 |
59
|
necon3bid |
|
61 |
55 60
|
bitr4d |
|
62 |
61
|
biimpa |
|
63 |
|
f1f |
|
64 |
2 63
|
syl |
|
65 |
64
|
ad2antrr |
|
66 |
34
|
adantr |
|
67 |
65 66
|
ffvelrnd |
|
68 |
41
|
adantr |
|
69 |
65 68
|
ffvelrnd |
|
70 |
67 69
|
lttri2d |
|
71 |
62 70
|
mpbid |
|
72 |
1
|
ad2antrr |
|
73 |
2
|
ad2antrr |
|
74 |
|
simpr |
|
75 |
72 73 3 6 66 68 74
|
erdszelem8 |
|
76 |
72 73 4 9 66 68 74
|
erdszelem8 |
|
77 |
75 76
|
anim12d |
|
78 |
|
ioran |
|
79 |
|
fvex |
|
80 |
|
fvex |
|
81 |
79 80
|
brcnv |
|
82 |
81
|
notbii |
|
83 |
82
|
anbi2i |
|
84 |
78 83
|
bitr4i |
|
85 |
77 84
|
syl6ibr |
|
86 |
71 85
|
mt2d |
|
87 |
86
|
ex |
|
88 |
55 87
|
sylbird |
|
89 |
88
|
necon4ad |
|
90 |
51 89
|
syl5bi |
|
91 |
48 90
|
sylbid |
|
92 |
91 26
|
syl6ib |
|
93 |
19 28 32 33 92
|
wlogle |
|
94 |
93
|
ralrimivva |
|
95 |
|
dff13 |
|
96 |
14 94 95
|
sylanbrc |
|