Step |
Hyp |
Ref |
Expression |
1 |
|
bnj1398.1 |
|
2 |
|
bnj1398.2 |
|
3 |
|
bnj1398.3 |
|
4 |
|
bnj1398.4 |
|
5 |
|
bnj1398.5 |
|
6 |
|
bnj1398.6 |
|
7 |
|
bnj1398.7 |
|
8 |
|
bnj1398.8 |
Could not format ( ta' <-> [. y / x ]. ta ) : No typesetting found for |- ( ta' <-> [. y / x ]. ta ) with typecode |- |
9 |
|
bnj1398.9 |
Could not format H = { f | E. y e. _pred ( x , A , R ) ta' } : No typesetting found for |- H = { f | E. y e. _pred ( x , A , R ) ta' } with typecode |- |
10 |
|
bnj1398.10 |
|
11 |
|
bnj1398.11 |
|
12 |
|
bnj1398.12 |
|
13 |
|
df-iun |
|
14 |
13
|
bnj1436 |
|
15 |
11 14
|
simplbiim |
|
16 |
|
nfv |
|
17 |
|
nfv |
|
18 |
|
nfra1 |
|
19 |
16 17 18
|
nf3an |
|
20 |
7 19
|
nfxfr |
|
21 |
|
nfiu1 |
|
22 |
21
|
nfcri |
|
23 |
20 22
|
nfan |
|
24 |
11 23
|
nfxfr |
|
25 |
24
|
nf5ri |
|
26 |
15 12 25
|
bnj1521 |
|
27 |
|
nfv |
|
28 |
|
nfe1 |
|
29 |
28
|
nfn |
|
30 |
|
nfcv |
|
31 |
29 30
|
nfrabw |
|
32 |
5 31
|
nfcxfr |
|
33 |
|
nfcv |
|
34 |
32 33
|
nfne |
|
35 |
27 34
|
nfan |
|
36 |
6 35
|
nfxfr |
|
37 |
32
|
nfcri |
|
38 |
|
nfv |
|
39 |
32 38
|
nfralw |
|
40 |
36 37 39
|
nf3an |
|
41 |
7 40
|
nfxfr |
|
42 |
|
nfv |
|
43 |
41 42
|
nfan |
|
44 |
11 43
|
nfxfr |
|
45 |
|
nfv |
|
46 |
|
nfv |
|
47 |
44 45 46
|
nf3an |
|
48 |
12 47
|
nfxfr |
|
49 |
48
|
nf5ri |
|
50 |
11
|
simplbi |
|
51 |
12 50
|
bnj835 |
|
52 |
12
|
simp2bi |
|
53 |
1 2 3 4 5 6 7 8
|
bnj1388 |
Could not format ( ch -> A. y e. _pred ( x , A , R ) E. f ta' ) : No typesetting found for |- ( ch -> A. y e. _pred ( x , A , R ) E. f ta' ) with typecode |- |
54 |
|
rsp |
Could not format ( A. y e. _pred ( x , A , R ) E. f ta' -> ( y e. _pred ( x , A , R ) -> E. f ta' ) ) : No typesetting found for |- ( A. y e. _pred ( x , A , R ) E. f ta' -> ( y e. _pred ( x , A , R ) -> E. f ta' ) ) with typecode |- |
55 |
53 54
|
syl |
Could not format ( ch -> ( y e. _pred ( x , A , R ) -> E. f ta' ) ) : No typesetting found for |- ( ch -> ( y e. _pred ( x , A , R ) -> E. f ta' ) ) with typecode |- |
56 |
51 52 55
|
sylc |
Could not format ( et -> E. f ta' ) : No typesetting found for |- ( et -> E. f ta' ) with typecode |- |
57 |
49 56
|
bnj596 |
Could not format ( et -> E. f ( et /\ ta' ) ) : No typesetting found for |- ( et -> E. f ( et /\ ta' ) ) with typecode |- |
58 |
1 2 3 4 8
|
bnj1373 |
Could not format ( ta' <-> ( f e. C /\ dom f = ( { y } u. _trCl ( y , A , R ) ) ) ) : No typesetting found for |- ( ta' <-> ( f e. C /\ dom f = ( { y } u. _trCl ( y , A , R ) ) ) ) with typecode |- |
59 |
58
|
simplbi |
Could not format ( ta' -> f e. C ) : No typesetting found for |- ( ta' -> f e. C ) with typecode |- |
60 |
59
|
adantl |
Could not format ( ( et /\ ta' ) -> f e. C ) : No typesetting found for |- ( ( et /\ ta' ) -> f e. C ) with typecode |- |
61 |
58
|
simprbi |
Could not format ( ta' -> dom f = ( { y } u. _trCl ( y , A , R ) ) ) : No typesetting found for |- ( ta' -> dom f = ( { y } u. _trCl ( y , A , R ) ) ) with typecode |- |
62 |
|
rspe |
|
63 |
52 61 62
|
syl2an |
Could not format ( ( et /\ ta' ) -> E. y e. _pred ( x , A , R ) dom f = ( { y } u. _trCl ( y , A , R ) ) ) : No typesetting found for |- ( ( et /\ ta' ) -> E. y e. _pred ( x , A , R ) dom f = ( { y } u. _trCl ( y , A , R ) ) ) with typecode |- |
64 |
9
|
abeq2i |
Could not format ( f e. H <-> E. y e. _pred ( x , A , R ) ta' ) : No typesetting found for |- ( f e. H <-> E. y e. _pred ( x , A , R ) ta' ) with typecode |- |
65 |
58
|
rexbii |
Could not format ( E. y e. _pred ( x , A , R ) ta' <-> E. y e. _pred ( x , A , R ) ( f e. C /\ dom f = ( { y } u. _trCl ( y , A , R ) ) ) ) : No typesetting found for |- ( E. y e. _pred ( x , A , R ) ta' <-> E. y e. _pred ( x , A , R ) ( f e. C /\ dom f = ( { y } u. _trCl ( y , A , R ) ) ) ) with typecode |- |
66 |
|
r19.42v |
|
67 |
64 65 66
|
3bitri |
|
68 |
60 63 67
|
sylanbrc |
Could not format ( ( et /\ ta' ) -> f e. H ) : No typesetting found for |- ( ( et /\ ta' ) -> f e. H ) with typecode |- |
69 |
12
|
simp3bi |
|
70 |
69
|
adantr |
Could not format ( ( et /\ ta' ) -> z e. ( { y } u. _trCl ( y , A , R ) ) ) : No typesetting found for |- ( ( et /\ ta' ) -> z e. ( { y } u. _trCl ( y , A , R ) ) ) with typecode |- |
71 |
61
|
adantl |
Could not format ( ( et /\ ta' ) -> dom f = ( { y } u. _trCl ( y , A , R ) ) ) : No typesetting found for |- ( ( et /\ ta' ) -> dom f = ( { y } u. _trCl ( y , A , R ) ) ) with typecode |- |
72 |
70 71
|
eleqtrrd |
Could not format ( ( et /\ ta' ) -> z e. dom f ) : No typesetting found for |- ( ( et /\ ta' ) -> z e. dom f ) with typecode |- |
73 |
68 72
|
jca |
Could not format ( ( et /\ ta' ) -> ( f e. H /\ z e. dom f ) ) : No typesetting found for |- ( ( et /\ ta' ) -> ( f e. H /\ z e. dom f ) ) with typecode |- |
74 |
57 73
|
bnj593 |
|
75 |
|
df-rex |
|
76 |
74 75
|
sylibr |
|
77 |
10
|
dmeqi |
|
78 |
9
|
bnj1317 |
|
79 |
78
|
bnj1400 |
|
80 |
77 79
|
eqtri |
|
81 |
80
|
eleq2i |
|
82 |
|
eliun |
|
83 |
81 82
|
bitri |
|
84 |
76 83
|
sylibr |
|
85 |
26 84
|
bnj593 |
|
86 |
|
nfre1 |
Could not format F/ y E. y e. _pred ( x , A , R ) ta' : No typesetting found for |- F/ y E. y e. _pred ( x , A , R ) ta' with typecode |- |
87 |
86
|
nfab |
Could not format F/_ y { f | E. y e. _pred ( x , A , R ) ta' } : No typesetting found for |- F/_ y { f | E. y e. _pred ( x , A , R ) ta' } with typecode |- |
88 |
9 87
|
nfcxfr |
|
89 |
88
|
nfuni |
|
90 |
10 89
|
nfcxfr |
|
91 |
90
|
nfdm |
|
92 |
91
|
nfcrii |
|
93 |
85 92
|
bnj1397 |
|
94 |
11 93
|
sylbir |
|
95 |
94
|
ex |
|
96 |
95
|
ssrdv |
|
97 |
|
simpr |
|
98 |
67
|
simprbi |
|
99 |
98
|
adantr |
|
100 |
|
r19.42v |
|
101 |
|
eleq2 |
|
102 |
101
|
biimpac |
|
103 |
102
|
reximi |
|
104 |
100 103
|
sylbir |
|
105 |
97 99 104
|
syl2anc |
|
106 |
105
|
rexlimiva |
|
107 |
|
eliun |
|
108 |
106 83 107
|
3imtr4i |
|
109 |
108
|
ssriv |
|
110 |
109
|
a1i |
|
111 |
96 110
|
eqssd |
|