Step |
Hyp |
Ref |
Expression |
1 |
|
erdsze.n |
|
2 |
|
erdsze.f |
|
3 |
|
erdszelem.i |
|
4 |
|
erdszelem.j |
|
5 |
|
erdszelem.t |
|
6 |
|
erdszelem.r |
|
7 |
|
erdszelem.s |
|
8 |
|
erdszelem.m |
|
9 |
|
fzfi |
|
10 |
|
fzfi |
|
11 |
|
xpfi |
|
12 |
9 10 11
|
mp2an |
|
13 |
|
ssdomg |
|
14 |
12 13
|
ax-mp |
|
15 |
|
domnsym |
|
16 |
14 15
|
syl |
|
17 |
|
hashxp |
|
18 |
9 10 17
|
mp2an |
|
19 |
|
nnm1nn0 |
|
20 |
|
hashfz1 |
|
21 |
6 19 20
|
3syl |
|
22 |
|
nnm1nn0 |
|
23 |
|
hashfz1 |
|
24 |
7 22 23
|
3syl |
|
25 |
21 24
|
oveq12d |
|
26 |
18 25
|
syl5eq |
|
27 |
1
|
nnnn0d |
|
28 |
|
hashfz1 |
|
29 |
27 28
|
syl |
|
30 |
8 26 29
|
3brtr4d |
|
31 |
|
fzfid |
|
32 |
|
hashsdom |
|
33 |
12 31 32
|
sylancr |
|
34 |
30 33
|
mpbid |
|
35 |
1 2 3 4 5
|
erdszelem9 |
|
36 |
|
f1f1orn |
|
37 |
|
ovex |
|
38 |
37
|
f1oen |
|
39 |
35 36 38
|
3syl |
|
40 |
|
sdomentr |
|
41 |
34 39 40
|
syl2anc |
|
42 |
16 41
|
nsyl3 |
|
43 |
|
nss |
|
44 |
|
df-rex |
|
45 |
43 44
|
bitr4i |
|
46 |
42 45
|
sylib |
|
47 |
|
f1fn |
|
48 |
|
eleq1 |
|
49 |
48
|
notbid |
|
50 |
49
|
rexrn |
|
51 |
35 47 50
|
3syl |
|
52 |
46 51
|
mpbid |
|
53 |
|
fveq2 |
|
54 |
|
fveq2 |
|
55 |
53 54
|
opeq12d |
|
56 |
|
opex |
|
57 |
55 5 56
|
fvmpt |
|
58 |
57
|
adantl |
|
59 |
58
|
eleq1d |
|
60 |
|
opelxp |
|
61 |
59 60
|
syl6bb |
|
62 |
61
|
notbid |
|
63 |
|
ianor |
|
64 |
62 63
|
syl6bb |
|
65 |
64
|
rexbidva |
|
66 |
52 65
|
mpbid |
|