Step |
Hyp |
Ref |
Expression |
1 |
|
itcoval |
Could not format ( F e. V -> ( IterComp ` F ) = seq 0 ( ( g e. _V , j e. _V |-> ( F o. g ) ) , ( i e. NN0 |-> if ( i = 0 , ( _I |` dom F ) , F ) ) ) ) : No typesetting found for |- ( F e. V -> ( IterComp ` F ) = seq 0 ( ( g e. _V , j e. _V |-> ( F o. g ) ) , ( i e. NN0 |-> if ( i = 0 , ( _I |` dom F ) , F ) ) ) ) with typecode |- |
2 |
1
|
fveq1d |
Could not format ( F e. V -> ( ( IterComp ` F ) ` 2 ) = ( seq 0 ( ( g e. _V , j e. _V |-> ( F o. g ) ) , ( i e. NN0 |-> if ( i = 0 , ( _I |` dom F ) , F ) ) ) ` 2 ) ) : No typesetting found for |- ( F e. V -> ( ( IterComp ` F ) ` 2 ) = ( seq 0 ( ( g e. _V , j e. _V |-> ( F o. g ) ) , ( i e. NN0 |-> if ( i = 0 , ( _I |` dom F ) , F ) ) ) ` 2 ) ) with typecode |- |
3 |
2
|
adantl |
Could not format ( ( Rel F /\ F e. V ) -> ( ( IterComp ` F ) ` 2 ) = ( seq 0 ( ( g e. _V , j e. _V |-> ( F o. g ) ) , ( i e. NN0 |-> if ( i = 0 , ( _I |` dom F ) , F ) ) ) ` 2 ) ) : No typesetting found for |- ( ( Rel F /\ F e. V ) -> ( ( IterComp ` F ) ` 2 ) = ( seq 0 ( ( g e. _V , j e. _V |-> ( F o. g ) ) , ( i e. NN0 |-> if ( i = 0 , ( _I |` dom F ) , F ) ) ) ` 2 ) ) with typecode |- |
4 |
|
nn0uz |
|
5 |
|
1nn0 |
|
6 |
5
|
a1i |
|
7 |
|
df-2 |
|
8 |
1
|
eqcomd |
Could not format ( F e. V -> seq 0 ( ( g e. _V , j e. _V |-> ( F o. g ) ) , ( i e. NN0 |-> if ( i = 0 , ( _I |` dom F ) , F ) ) ) = ( IterComp ` F ) ) : No typesetting found for |- ( F e. V -> seq 0 ( ( g e. _V , j e. _V |-> ( F o. g ) ) , ( i e. NN0 |-> if ( i = 0 , ( _I |` dom F ) , F ) ) ) = ( IterComp ` F ) ) with typecode |- |
9 |
8
|
fveq1d |
Could not format ( F e. V -> ( seq 0 ( ( g e. _V , j e. _V |-> ( F o. g ) ) , ( i e. NN0 |-> if ( i = 0 , ( _I |` dom F ) , F ) ) ) ` 1 ) = ( ( IterComp ` F ) ` 1 ) ) : No typesetting found for |- ( F e. V -> ( seq 0 ( ( g e. _V , j e. _V |-> ( F o. g ) ) , ( i e. NN0 |-> if ( i = 0 , ( _I |` dom F ) , F ) ) ) ` 1 ) = ( ( IterComp ` F ) ` 1 ) ) with typecode |- |
10 |
9
|
adantl |
Could not format ( ( Rel F /\ F e. V ) -> ( seq 0 ( ( g e. _V , j e. _V |-> ( F o. g ) ) , ( i e. NN0 |-> if ( i = 0 , ( _I |` dom F ) , F ) ) ) ` 1 ) = ( ( IterComp ` F ) ` 1 ) ) : No typesetting found for |- ( ( Rel F /\ F e. V ) -> ( seq 0 ( ( g e. _V , j e. _V |-> ( F o. g ) ) , ( i e. NN0 |-> if ( i = 0 , ( _I |` dom F ) , F ) ) ) ` 1 ) = ( ( IterComp ` F ) ` 1 ) ) with typecode |- |
11 |
|
itcoval1 |
Could not format ( ( Rel F /\ F e. V ) -> ( ( IterComp ` F ) ` 1 ) = F ) : No typesetting found for |- ( ( Rel F /\ F e. V ) -> ( ( IterComp ` F ) ` 1 ) = F ) with typecode |- |
12 |
10 11
|
eqtrd |
|
13 |
|
eqidd |
|
14 |
|
2ne0 |
|
15 |
|
neeq1 |
|
16 |
14 15
|
mpbiri |
|
17 |
16
|
neneqd |
|
18 |
17
|
iffalsed |
|
19 |
18
|
adantl |
|
20 |
|
2nn0 |
|
21 |
20
|
a1i |
|
22 |
|
simpr |
|
23 |
13 19 21 22
|
fvmptd |
|
24 |
4 6 7 12 23
|
seqp1d |
|
25 |
|
eqidd |
|
26 |
|
coeq2 |
|
27 |
26
|
ad2antrl |
|
28 |
|
elex |
|
29 |
|
coexg |
|
30 |
29
|
anidms |
|
31 |
25 27 28 28 30
|
ovmpod |
|
32 |
31
|
adantl |
|
33 |
3 24 32
|
3eqtrd |
Could not format ( ( Rel F /\ F e. V ) -> ( ( IterComp ` F ) ` 2 ) = ( F o. F ) ) : No typesetting found for |- ( ( Rel F /\ F e. V ) -> ( ( IterComp ` F ) ` 2 ) = ( F o. F ) ) with typecode |- |