Step |
Hyp |
Ref |
Expression |
1 |
|
rcaninv.b |
|
2 |
|
rcaninv.n |
|
3 |
|
rcaninv.c |
|
4 |
|
rcaninv.x |
|
5 |
|
rcaninv.y |
|
6 |
|
rcaninv.z |
|
7 |
|
rcaninv.f |
|
8 |
|
rcaninv.g |
|
9 |
|
rcaninv.h |
|
10 |
|
rcaninv.1 |
|
11 |
|
rcaninv.o |
Could not format .o. = ( <. X , Y >. ( comp ` C ) Z ) : No typesetting found for |- .o. = ( <. X , Y >. ( comp ` C ) Z ) with typecode |- |
12 |
|
eqid |
|
13 |
|
eqid |
|
14 |
|
eqid |
|
15 |
1 12 14 3 5 4
|
isohom |
|
16 |
15 7
|
sseldd |
|
17 |
1 12 14 3 4 5
|
isohom |
|
18 |
1 2 3 5 4 14
|
invf |
|
19 |
18 7
|
ffvelrnd |
|
20 |
17 19
|
sseldd |
|
21 |
1 12 13 3 5 4 5 16 20 6 8
|
catass |
|
22 |
|
eqid |
|
23 |
|
eqid |
|
24 |
1 14 2 3 5 4 7 22 23
|
invcoisoid |
|
25 |
24
|
eqcomd |
|
26 |
25
|
oveq2d |
|
27 |
1 12 22 3 5 13 6 8
|
catrid |
|
28 |
21 26 27
|
3eqtr2rd |
|
29 |
28
|
adantr |
Could not format ( ( ph /\ ( G .o. R ) = ( H .o. R ) ) -> G = ( ( G ( <. X , Y >. ( comp ` C ) Z ) ( ( Y N X ) ` F ) ) ( <. Y , X >. ( comp ` C ) Z ) F ) ) : No typesetting found for |- ( ( ph /\ ( G .o. R ) = ( H .o. R ) ) -> G = ( ( G ( <. X , Y >. ( comp ` C ) Z ) ( ( Y N X ) ` F ) ) ( <. Y , X >. ( comp ` C ) Z ) F ) ) with typecode |- |
30 |
11
|
eqcomi |
Could not format ( <. X , Y >. ( comp ` C ) Z ) = .o. : No typesetting found for |- ( <. X , Y >. ( comp ` C ) Z ) = .o. with typecode |- |
31 |
30
|
a1i |
Could not format ( ph -> ( <. X , Y >. ( comp ` C ) Z ) = .o. ) : No typesetting found for |- ( ph -> ( <. X , Y >. ( comp ` C ) Z ) = .o. ) with typecode |- |
32 |
|
eqidd |
|
33 |
10
|
eqcomi |
|
34 |
33
|
a1i |
|
35 |
31 32 34
|
oveq123d |
Could not format ( ph -> ( G ( <. X , Y >. ( comp ` C ) Z ) ( ( Y N X ) ` F ) ) = ( G .o. R ) ) : No typesetting found for |- ( ph -> ( G ( <. X , Y >. ( comp ` C ) Z ) ( ( Y N X ) ` F ) ) = ( G .o. R ) ) with typecode |- |
36 |
35
|
adantr |
Could not format ( ( ph /\ ( G .o. R ) = ( H .o. R ) ) -> ( G ( <. X , Y >. ( comp ` C ) Z ) ( ( Y N X ) ` F ) ) = ( G .o. R ) ) : No typesetting found for |- ( ( ph /\ ( G .o. R ) = ( H .o. R ) ) -> ( G ( <. X , Y >. ( comp ` C ) Z ) ( ( Y N X ) ` F ) ) = ( G .o. R ) ) with typecode |- |
37 |
|
simpr |
Could not format ( ( ph /\ ( G .o. R ) = ( H .o. R ) ) -> ( G .o. R ) = ( H .o. R ) ) : No typesetting found for |- ( ( ph /\ ( G .o. R ) = ( H .o. R ) ) -> ( G .o. R ) = ( H .o. R ) ) with typecode |- |
38 |
36 37
|
eqtrd |
Could not format ( ( ph /\ ( G .o. R ) = ( H .o. R ) ) -> ( G ( <. X , Y >. ( comp ` C ) Z ) ( ( Y N X ) ` F ) ) = ( H .o. R ) ) : No typesetting found for |- ( ( ph /\ ( G .o. R ) = ( H .o. R ) ) -> ( G ( <. X , Y >. ( comp ` C ) Z ) ( ( Y N X ) ` F ) ) = ( H .o. R ) ) with typecode |- |
39 |
38
|
oveq1d |
Could not format ( ( ph /\ ( G .o. R ) = ( H .o. R ) ) -> ( ( G ( <. X , Y >. ( comp ` C ) Z ) ( ( Y N X ) ` F ) ) ( <. Y , X >. ( comp ` C ) Z ) F ) = ( ( H .o. R ) ( <. Y , X >. ( comp ` C ) Z ) F ) ) : No typesetting found for |- ( ( ph /\ ( G .o. R ) = ( H .o. R ) ) -> ( ( G ( <. X , Y >. ( comp ` C ) Z ) ( ( Y N X ) ` F ) ) ( <. Y , X >. ( comp ` C ) Z ) F ) = ( ( H .o. R ) ( <. Y , X >. ( comp ` C ) Z ) F ) ) with typecode |- |
40 |
11
|
oveqi |
Could not format ( H .o. R ) = ( H ( <. X , Y >. ( comp ` C ) Z ) R ) : No typesetting found for |- ( H .o. R ) = ( H ( <. X , Y >. ( comp ` C ) Z ) R ) with typecode |- |
41 |
40
|
oveq1i |
Could not format ( ( H .o. R ) ( <. Y , X >. ( comp ` C ) Z ) F ) = ( ( H ( <. X , Y >. ( comp ` C ) Z ) R ) ( <. Y , X >. ( comp ` C ) Z ) F ) : No typesetting found for |- ( ( H .o. R ) ( <. Y , X >. ( comp ` C ) Z ) F ) = ( ( H ( <. X , Y >. ( comp ` C ) Z ) R ) ( <. Y , X >. ( comp ` C ) Z ) F ) with typecode |- |
42 |
41
|
a1i |
Could not format ( ph -> ( ( H .o. R ) ( <. Y , X >. ( comp ` C ) Z ) F ) = ( ( H ( <. X , Y >. ( comp ` C ) Z ) R ) ( <. Y , X >. ( comp ` C ) Z ) F ) ) : No typesetting found for |- ( ph -> ( ( H .o. R ) ( <. Y , X >. ( comp ` C ) Z ) F ) = ( ( H ( <. X , Y >. ( comp ` C ) Z ) R ) ( <. Y , X >. ( comp ` C ) Z ) F ) ) with typecode |- |
43 |
10 20
|
eqeltrid |
|
44 |
1 12 13 3 5 4 5 16 43 6 9
|
catass |
|
45 |
10
|
oveq1i |
|
46 |
45
|
oveq2i |
|
47 |
46
|
a1i |
|
48 |
24
|
oveq2d |
|
49 |
44 47 48
|
3eqtrd |
|
50 |
1 12 22 3 5 13 6 9
|
catrid |
|
51 |
42 49 50
|
3eqtrd |
Could not format ( ph -> ( ( H .o. R ) ( <. Y , X >. ( comp ` C ) Z ) F ) = H ) : No typesetting found for |- ( ph -> ( ( H .o. R ) ( <. Y , X >. ( comp ` C ) Z ) F ) = H ) with typecode |- |
52 |
51
|
adantr |
Could not format ( ( ph /\ ( G .o. R ) = ( H .o. R ) ) -> ( ( H .o. R ) ( <. Y , X >. ( comp ` C ) Z ) F ) = H ) : No typesetting found for |- ( ( ph /\ ( G .o. R ) = ( H .o. R ) ) -> ( ( H .o. R ) ( <. Y , X >. ( comp ` C ) Z ) F ) = H ) with typecode |- |
53 |
29 39 52
|
3eqtrd |
Could not format ( ( ph /\ ( G .o. R ) = ( H .o. R ) ) -> G = H ) : No typesetting found for |- ( ( ph /\ ( G .o. R ) = ( H .o. R ) ) -> G = H ) with typecode |- |
54 |
53
|
ex |
Could not format ( ph -> ( ( G .o. R ) = ( H .o. R ) -> G = H ) ) : No typesetting found for |- ( ph -> ( ( G .o. R ) = ( H .o. R ) -> G = H ) ) with typecode |- |