Step |
Hyp |
Ref |
Expression |
1 |
|
ackval3 |
Could not format ( Ack ` 3 ) = ( n e. NN0 |-> ( ( 2 ^ ( n + 3 ) ) - 3 ) ) : No typesetting found for |- ( Ack ` 3 ) = ( n e. NN0 |-> ( ( 2 ^ ( n + 3 ) ) - 3 ) ) with typecode |- |
2 |
|
oveq1 |
|
3 |
|
3cn |
|
4 |
3
|
addid2i |
|
5 |
2 4
|
eqtrdi |
|
6 |
5
|
oveq2d |
|
7 |
6
|
oveq1d |
|
8 |
|
cu2 |
|
9 |
8
|
oveq1i |
|
10 |
|
5cn |
|
11 |
|
5p3e8 |
|
12 |
11
|
eqcomi |
|
13 |
10 3 12
|
mvrraddi |
|
14 |
9 13
|
eqtri |
|
15 |
7 14
|
eqtrdi |
|
16 |
|
0nn0 |
|
17 |
16
|
a1i |
Could not format ( ( Ack ` 3 ) = ( n e. NN0 |-> ( ( 2 ^ ( n + 3 ) ) - 3 ) ) -> 0 e. NN0 ) : No typesetting found for |- ( ( Ack ` 3 ) = ( n e. NN0 |-> ( ( 2 ^ ( n + 3 ) ) - 3 ) ) -> 0 e. NN0 ) with typecode |- |
18 |
|
5nn0 |
|
19 |
18
|
a1i |
Could not format ( ( Ack ` 3 ) = ( n e. NN0 |-> ( ( 2 ^ ( n + 3 ) ) - 3 ) ) -> 5 e. NN0 ) : No typesetting found for |- ( ( Ack ` 3 ) = ( n e. NN0 |-> ( ( 2 ^ ( n + 3 ) ) - 3 ) ) -> 5 e. NN0 ) with typecode |- |
20 |
1 15 17 19
|
fvmptd3 |
Could not format ( ( Ack ` 3 ) = ( n e. NN0 |-> ( ( 2 ^ ( n + 3 ) ) - 3 ) ) -> ( ( Ack ` 3 ) ` 0 ) = 5 ) : No typesetting found for |- ( ( Ack ` 3 ) = ( n e. NN0 |-> ( ( 2 ^ ( n + 3 ) ) - 3 ) ) -> ( ( Ack ` 3 ) ` 0 ) = 5 ) with typecode |- |
21 |
|
oveq1 |
|
22 |
|
ax-1cn |
|
23 |
|
3p1e4 |
|
24 |
3 22 23
|
addcomli |
|
25 |
21 24
|
eqtrdi |
|
26 |
25
|
oveq2d |
|
27 |
26
|
oveq1d |
|
28 |
|
2exp4 |
|
29 |
28
|
oveq1i |
|
30 |
|
1nn0 |
|
31 |
|
3nn0 |
|
32 |
30 31
|
deccl |
|
33 |
32
|
nn0cni |
|
34 |
|
eqid |
|
35 |
|
3p3e6 |
|
36 |
30 31 31 34 35
|
decaddi |
|
37 |
36
|
eqcomi |
|
38 |
33 3 37
|
mvrraddi |
|
39 |
29 38
|
eqtri |
|
40 |
27 39
|
eqtrdi |
|
41 |
30
|
a1i |
Could not format ( ( Ack ` 3 ) = ( n e. NN0 |-> ( ( 2 ^ ( n + 3 ) ) - 3 ) ) -> 1 e. NN0 ) : No typesetting found for |- ( ( Ack ` 3 ) = ( n e. NN0 |-> ( ( 2 ^ ( n + 3 ) ) - 3 ) ) -> 1 e. NN0 ) with typecode |- |
42 |
32
|
a1i |
Could not format ( ( Ack ` 3 ) = ( n e. NN0 |-> ( ( 2 ^ ( n + 3 ) ) - 3 ) ) -> ; 1 3 e. NN0 ) : No typesetting found for |- ( ( Ack ` 3 ) = ( n e. NN0 |-> ( ( 2 ^ ( n + 3 ) ) - 3 ) ) -> ; 1 3 e. NN0 ) with typecode |- |
43 |
1 40 41 42
|
fvmptd3 |
Could not format ( ( Ack ` 3 ) = ( n e. NN0 |-> ( ( 2 ^ ( n + 3 ) ) - 3 ) ) -> ( ( Ack ` 3 ) ` 1 ) = ; 1 3 ) : No typesetting found for |- ( ( Ack ` 3 ) = ( n e. NN0 |-> ( ( 2 ^ ( n + 3 ) ) - 3 ) ) -> ( ( Ack ` 3 ) ` 1 ) = ; 1 3 ) with typecode |- |
44 |
|
oveq1 |
|
45 |
|
2cn |
|
46 |
|
3p2e5 |
|
47 |
3 45 46
|
addcomli |
|
48 |
44 47
|
eqtrdi |
|
49 |
48
|
oveq2d |
|
50 |
49
|
oveq1d |
|
51 |
|
2exp5 |
|
52 |
51
|
oveq1i |
|
53 |
|
2nn0 |
|
54 |
|
9nn0 |
|
55 |
53 54
|
deccl |
|
56 |
55
|
nn0cni |
|
57 |
|
eqid |
|
58 |
|
2p1e3 |
|
59 |
|
9p3e12 |
|
60 |
53 54 31 57 58 53 59
|
decaddci |
|
61 |
60
|
eqcomi |
|
62 |
56 3 61
|
mvrraddi |
|
63 |
52 62
|
eqtri |
|
64 |
50 63
|
eqtrdi |
|
65 |
53
|
a1i |
Could not format ( ( Ack ` 3 ) = ( n e. NN0 |-> ( ( 2 ^ ( n + 3 ) ) - 3 ) ) -> 2 e. NN0 ) : No typesetting found for |- ( ( Ack ` 3 ) = ( n e. NN0 |-> ( ( 2 ^ ( n + 3 ) ) - 3 ) ) -> 2 e. NN0 ) with typecode |- |
66 |
55
|
a1i |
Could not format ( ( Ack ` 3 ) = ( n e. NN0 |-> ( ( 2 ^ ( n + 3 ) ) - 3 ) ) -> ; 2 9 e. NN0 ) : No typesetting found for |- ( ( Ack ` 3 ) = ( n e. NN0 |-> ( ( 2 ^ ( n + 3 ) ) - 3 ) ) -> ; 2 9 e. NN0 ) with typecode |- |
67 |
1 64 65 66
|
fvmptd3 |
Could not format ( ( Ack ` 3 ) = ( n e. NN0 |-> ( ( 2 ^ ( n + 3 ) ) - 3 ) ) -> ( ( Ack ` 3 ) ` 2 ) = ; 2 9 ) : No typesetting found for |- ( ( Ack ` 3 ) = ( n e. NN0 |-> ( ( 2 ^ ( n + 3 ) ) - 3 ) ) -> ( ( Ack ` 3 ) ` 2 ) = ; 2 9 ) with typecode |- |
68 |
20 43 67
|
oteq123d |
Could not format ( ( Ack ` 3 ) = ( n e. NN0 |-> ( ( 2 ^ ( n + 3 ) ) - 3 ) ) -> <. ( ( Ack ` 3 ) ` 0 ) , ( ( Ack ` 3 ) ` 1 ) , ( ( Ack ` 3 ) ` 2 ) >. = <. 5 , ; 1 3 , ; 2 9 >. ) : No typesetting found for |- ( ( Ack ` 3 ) = ( n e. NN0 |-> ( ( 2 ^ ( n + 3 ) ) - 3 ) ) -> <. ( ( Ack ` 3 ) ` 0 ) , ( ( Ack ` 3 ) ` 1 ) , ( ( Ack ` 3 ) ` 2 ) >. = <. 5 , ; 1 3 , ; 2 9 >. ) with typecode |- |
69 |
1 68
|
ax-mp |
Could not format <. ( ( Ack ` 3 ) ` 0 ) , ( ( Ack ` 3 ) ` 1 ) , ( ( Ack ` 3 ) ` 2 ) >. = <. 5 , ; 1 3 , ; 2 9 >. : No typesetting found for |- <. ( ( Ack ` 3 ) ` 0 ) , ( ( Ack ` 3 ) ` 1 ) , ( ( Ack ` 3 ) ` 2 ) >. = <. 5 , ; 1 3 , ; 2 9 >. with typecode |- |