:: CAT_2 semantic presentation

K162() is Element of bool K158()
K158() is set
bool K158() is non empty set
{} is Relation-like non-empty empty-yielding empty set
1 is non empty set
{{},1} is non empty set
[:1,1:] is Relation-like non empty set
bool [:1,1:] is non empty set
[:[:1,1:],1:] is Relation-like non empty set
bool [:[:1,1:],1:] is non empty set
K157() is set
bool K157() is non empty set
bool K162() is non empty set
D is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of D is non empty set
the carrier' of D is non empty set
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of C is non empty set
C9 is Element of the carrier of D
id C9 is Morphism of C9,C9
the carrier' of C --> (id C9) is Relation-like the carrier' of C -defined the carrier' of D -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier' of D:]
[: the carrier' of C, the carrier' of D:] is Relation-like non empty set
bool [: the carrier' of C, the carrier' of D:] is non empty set
{(id C9)} is non empty set
[: the carrier' of C,{(id C9)}:] is Relation-like non empty set
the carrier of C is non empty set
D9 is Relation-like the carrier' of C -defined the carrier' of D -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier' of D:]
T is Element of the carrier of C
id T is Morphism of T,T
D9 . (id T) is Element of the carrier' of D
T is Element of the carrier' of C
dom T is Element of the carrier of C
the Source of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
[: the carrier' of C, the carrier of C:] is Relation-like non empty set
bool [: the carrier' of C, the carrier of C:] is non empty set
the Source of C . T is Element of the carrier of C
id (dom T) is Morphism of dom T, dom T
D9 . (id (dom T)) is Element of the carrier' of D
D9 . T is Element of the carrier' of D
dom (D9 . T) is Element of the carrier of D
the Source of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
[: the carrier' of D, the carrier of D:] is Relation-like non empty set
bool [: the carrier' of D, the carrier of D:] is non empty set
the Source of D . (D9 . T) is Element of the carrier of D
id (dom (D9 . T)) is Morphism of dom (D9 . T), dom (D9 . T)
cod T is Element of the carrier of C
the Target of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
the Target of C . T is Element of the carrier of C
id (cod T) is Morphism of cod T, cod T
D9 . (id (cod T)) is Element of the carrier' of D
cod (D9 . T) is Element of the carrier of D
the Target of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
the Target of D . (D9 . T) is Element of the carrier of D
id (cod (D9 . T)) is Morphism of cod (D9 . T), cod (D9 . T)
cod (id C9) is Element of the carrier of D
the Target of D . (id C9) is Element of the carrier of D
id (cod (id C9)) is Morphism of cod (id C9), cod (id C9)
dom (id C9) is Element of the carrier of D
the Source of D . (id C9) is Element of the carrier of D
id (dom (id C9)) is Morphism of dom (id C9), dom (id C9)
T9 is Element of the carrier' of C
dom T9 is Element of the carrier of C
the Source of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
[: the carrier' of C, the carrier of C:] is Relation-like non empty set
bool [: the carrier' of C, the carrier of C:] is non empty set
the Source of C . T9 is Element of the carrier of C
T is Element of the carrier' of C
cod T is Element of the carrier of C
the Target of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
the Target of C . T is Element of the carrier of C
Hom (C9,C9) is non empty Element of bool the carrier' of D
bool the carrier' of D is non empty set
{ b₁ where b₁ is Element of the carrier' of D : ( dom b₁ = C9 & cod b₁ = C9 ) } is set
D9 . T is Element of the carrier' of D
(id C9) * (id C9) is Morphism of C9,C9
(id C9) (*) (id C9) is Element of the carrier' of D
T9 (*) T is Element of the carrier' of C
D9 . (T9 (*) T) is Element of the carrier' of D
D9 . T9 is Element of the carrier' of D
(D9 . T9) (*) (D9 . T) is Element of the carrier' of D
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of C is non empty set
D is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of D is non empty set
C9 is Element of the carrier of C
(D,C,C9) is Relation-like the carrier' of D -defined the carrier' of C -valued Function-like quasi_total Functor of D,C
the carrier' of D is non empty set
the carrier' of C is non empty set
id C9 is Morphism of C9,C9
the carrier' of D --> (id C9) is Relation-like the carrier' of D -defined the carrier' of C -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier' of C:]
[: the carrier' of D, the carrier' of C:] is Relation-like non empty set
bool [: the carrier' of D, the carrier' of C:] is non empty set
{(id C9)} is non empty set
[: the carrier' of D,{(id C9)}:] is Relation-like non empty set
Obj (D,C,C9) is Relation-like the carrier of D -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier of D, the carrier of C:]
[: the carrier of D, the carrier of C:] is Relation-like non empty set
bool [: the carrier of D, the carrier of C:] is non empty set
D9 is Element of the carrier of D
(Obj (D,C,C9)) . D9 is Element of the carrier of C
id D9 is Morphism of D9,D9
(D,C,C9) . (id D9) is Element of the carrier' of C
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of C is non empty set
D is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of D is non empty set
Funcs ( the carrier' of C, the carrier' of D) is non empty FUNCTION_DOMAIN of the carrier' of C, the carrier' of D
C9 is set
D9 is set
C9 is set
D9 is set
T is set
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
D is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
(C,D) is set
the carrier' of C is non empty set
the carrier' of D is non empty set
the Relation-like the carrier' of C -defined the carrier' of D -valued Function-like quasi_total Functor of C,D is Relation-like the carrier' of C -defined the carrier' of D -valued Function-like quasi_total Functor of C,D
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of C is non empty set
D is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of D is non empty set
(C,D) is non empty set
C9 is Element of (C,D)
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
D is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
C9 is non empty (C,D)
the carrier' of C is non empty set
the carrier' of D is non empty set
D9 is Element of C9
D is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
C9 is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
C is non empty set
D9 is non empty (D,C9)
[:C,D9:] is Relation-like non empty set
bool [:C,D9:] is non empty set
T is Relation-like C -defined D9 -valued Function-like quasi_total Element of bool [:C,D9:]
T9 is Element of C
T . T9 is set
the carrier' of D is non empty set
the carrier' of C9 is non empty set
T . T9 is Element of D9
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
D is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
(C,D) is non empty set
C9 is Element of (C,D)
the carrier' of C is non empty set
the carrier' of D is non empty set
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of C is non empty set
the Comp of C is Relation-like [: the carrier' of C, the carrier' of C:] -defined the carrier' of C -valued Function-like Element of bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:]
the carrier' of C is non empty set
[: the carrier' of C, the carrier' of C:] is Relation-like non empty set
[:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is non empty set
D is Element of the carrier of C
D9 is Element of the carrier of C
C9 is Element of the carrier of C
T is Element of the carrier of C
Hom (D,C9) is Element of bool the carrier' of C
bool the carrier' of C is non empty set
{ b₁ where b₁ is Element of the carrier' of C : ( dom b₁ = D & cod b₁ = C9 ) } is set
Hom (D9,T) is Element of bool the carrier' of C
{ b₁ where b₁ is Element of the carrier' of C : ( dom b₁ = D9 & cod b₁ = T ) } is set
T9 is Element of the carrier of C
c is Element of the carrier of C
id T9 is Morphism of T9,T9
id c is Morphism of c,c
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of C is non empty set
the Element of the carrier of C is Element of the carrier of C
id the Element of the carrier of C is Morphism of the Element of the carrier of C, the Element of the carrier of C
1Cat ( the Element of the carrier of C,(id the Element of the carrier of C)) is non empty trivial V49() non void V54(1) V55() trivial' strict Category-like transitive associative reflexive with_identities CatStr
{ the Element of the carrier of C} is non empty set
{(id the Element of the carrier of C)} is non empty set
(id the Element of the carrier of C) :-> the Element of the carrier of C is Relation-like {(id the Element of the carrier of C)} -defined { the Element of the carrier of C} -valued Function-like quasi_total Element of bool [:{(id the Element of the carrier of C)},{ the Element of the carrier of C}:]
[:{(id the Element of the carrier of C)},{ the Element of the carrier of C}:] is Relation-like non empty set
bool [:{(id the Element of the carrier of C)},{ the Element of the carrier of C}:] is non empty set
{(id the Element of the carrier of C)} --> the Element of the carrier of C is Relation-like {(id the Element of the carrier of C)} -defined { the Element of the carrier of C} -valued Function-like quasi_total Element of bool [:{(id the Element of the carrier of C)},{ the Element of the carrier of C}:]
((id the Element of the carrier of C),(id the Element of the carrier of C)) :-> (id the Element of the carrier of C) is Relation-like [:{(id the Element of the carrier of C)},{(id the Element of the carrier of C)}:] -defined {(id the Element of the carrier of C)} -valued Function-like quasi_total Element of bool [:[:{(id the Element of the carrier of C)},{(id the Element of the carrier of C)}:],{(id the Element of the carrier of C)}:]
[:{(id the Element of the carrier of C)},{(id the Element of the carrier of C)}:] is Relation-like non empty set
[:[:{(id the Element of the carrier of C)},{(id the Element of the carrier of C)}:],{(id the Element of the carrier of C)}:] is Relation-like non empty set
bool [:[:{(id the Element of the carrier of C)},{(id the Element of the carrier of C)}:],{(id the Element of the carrier of C)}:] is non empty set
[(id the Element of the carrier of C),(id the Element of the carrier of C)] is V15() set
{(id the Element of the carrier of C),(id the Element of the carrier of C)} is non empty set
{{(id the Element of the carrier of C),(id the Element of the carrier of C)},{(id the Element of the carrier of C)}} is non empty set
{[(id the Element of the carrier of C),(id the Element of the carrier of C)]} is Relation-like non empty set
{[(id the Element of the carrier of C),(id the Element of the carrier of C)]} --> (id the Element of the carrier of C) is Relation-like {[(id the Element of the carrier of C),(id the Element of the carrier of C)]} -defined {(id the Element of the carrier of C)} -valued Function-like quasi_total Element of bool [:{[(id the Element of the carrier of C),(id the Element of the carrier of C)]},{(id the Element of the carrier of C)}:]
[:{[(id the Element of the carrier of C),(id the Element of the carrier of C)]},{(id the Element of the carrier of C)}:] is Relation-like non empty set
bool [:{[(id the Element of the carrier of C),(id the Element of the carrier of C)]},{(id the Element of the carrier of C)}:] is non empty set
CatStr(# { the Element of the carrier of C},{(id the Element of the carrier of C)},((id the Element of the carrier of C) :-> the Element of the carrier of C),((id the Element of the carrier of C) :-> the Element of the carrier of C),(((id the Element of the carrier of C),(id the Element of the carrier of C)) :-> (id the Element of the carrier of C)) #) is strict CatStr
the carrier of (1Cat ( the Element of the carrier of C,(id the Element of the carrier of C))) is non empty trivial V31() set
D9 is set
D9 is Element of the carrier of (1Cat ( the Element of the carrier of C,(id the Element of the carrier of C)))
T is Element of the carrier of (1Cat ( the Element of the carrier of C,(id the Element of the carrier of C)))
Hom (D9,T) is trivial Element of bool the carrier' of (1Cat ( the Element of the carrier of C,(id the Element of the carrier of C)))
the carrier' of (1Cat ( the Element of the carrier of C,(id the Element of the carrier of C))) is non empty trivial set
bool the carrier' of (1Cat ( the Element of the carrier of C,(id the Element of the carrier of C))) is non empty set
{ b₁ where b₁ is Element of the carrier' of (1Cat ( the Element of the carrier of C,(id the Element of the carrier of C))) : ( dom b₁ = D9 & cod b₁ = T ) } is set
T9 is Element of the carrier of C
c is Element of the carrier of C
Hom (T9,c) is Element of bool the carrier' of C
the carrier' of C is non empty set
bool the carrier' of C is non empty set
{ b₁ where b₁ is Element of the carrier' of C : ( dom b₁ = T9 & cod b₁ = c ) } is set
c9 is set
the Comp of (1Cat ( the Element of the carrier of C,(id the Element of the carrier of C))) is Relation-like [: the carrier' of (1Cat ( the Element of the carrier of C,(id the Element of the carrier of C))), the carrier' of (1Cat ( the Element of the carrier of C,(id the Element of the carrier of C))):] -defined the carrier' of (1Cat ( the Element of the carrier of C,(id the Element of the carrier of C))) -valued Function-like Element of bool [:[: the carrier' of (1Cat ( the Element of the carrier of C,(id the Element of the carrier of C))), the carrier' of (1Cat ( the Element of the carrier of C,(id the Element of the carrier of C))):], the carrier' of (1Cat ( the Element of the carrier of C,(id the Element of the carrier of C))):]
the carrier' of (1Cat ( the Element of the carrier of C,(id the Element of the carrier of C))) is non empty trivial set
[: the carrier' of (1Cat ( the Element of the carrier of C,(id the Element of the carrier of C))), the carrier' of (1Cat ( the Element of the carrier of C,(id the Element of the carrier of C))):] is Relation-like non empty set
[:[: the carrier' of (1Cat ( the Element of the carrier of C,(id the Element of the carrier of C))), the carrier' of (1Cat ( the Element of the carrier of C,(id the Element of the carrier of C))):], the carrier' of (1Cat ( the Element of the carrier of C,(id the Element of the carrier of C))):] is Relation-like non empty set
bool [:[: the carrier' of (1Cat ( the Element of the carrier of C,(id the Element of the carrier of C))), the carrier' of (1Cat ( the Element of the carrier of C,(id the Element of the carrier of C))):], the carrier' of (1Cat ( the Element of the carrier of C,(id the Element of the carrier of C))):] is non empty set
the Comp of C is Relation-like [: the carrier' of C, the carrier' of C:] -defined the carrier' of C -valued Function-like Element of bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:]
the carrier' of C is non empty set
[: the carrier' of C, the carrier' of C:] is Relation-like non empty set
[:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is non empty set
Hom ( the Element of the carrier of C, the Element of the carrier of C) is non empty Element of bool the carrier' of C
bool the carrier' of C is non empty set
{ b₁ where b₁ is Element of the carrier' of C : ( dom b₁ = the Element of the carrier of C & cod b₁ = the Element of the carrier of C ) } is set
dom (id the Element of the carrier of C) is Element of the carrier of C
the Source of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
[: the carrier' of C, the carrier of C:] is Relation-like non empty set
bool [: the carrier' of C, the carrier of C:] is non empty set
the Source of C . (id the Element of the carrier of C) is Element of the carrier of C
cod (id the Element of the carrier of C) is Element of the carrier of C
the Target of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
the Target of C . (id the Element of the carrier of C) is Element of the carrier of C
[(id the Element of the carrier of C),(id the Element of the carrier of C)] is V15() Element of [: the carrier' of C, the carrier' of C:]
dom the Comp of C is Relation-like set
(id the Element of the carrier of C) * (id the Element of the carrier of C) is Morphism of the Element of the carrier of C, the Element of the carrier of C
((id the Element of the carrier of C),(id the Element of the carrier of C)) .--> ((id the Element of the carrier of C) * (id the Element of the carrier of C)) is Relation-like Function-like set
{[(id the Element of the carrier of C),(id the Element of the carrier of C)]} --> ((id the Element of the carrier of C) * (id the Element of the carrier of C)) is Relation-like {[(id the Element of the carrier of C),(id the Element of the carrier of C)]} -defined {((id the Element of the carrier of C) * (id the Element of the carrier of C))} -valued Function-like quasi_total Element of bool [:{[(id the Element of the carrier of C),(id the Element of the carrier of C)]},{((id the Element of the carrier of C) * (id the Element of the carrier of C))}:]
{((id the Element of the carrier of C) * (id the Element of the carrier of C))} is non empty set
[:{[(id the Element of the carrier of C),(id the Element of the carrier of C)]},{((id the Element of the carrier of C) * (id the Element of the carrier of C))}:] is Relation-like non empty set
bool [:{[(id the Element of the carrier of C),(id the Element of the carrier of C)]},{((id the Element of the carrier of C) * (id the Element of the carrier of C))}:] is non empty set
D9 is Element of the carrier' of C
(id the Element of the carrier of C) (*) D9 is Element of the carrier' of C
((id the Element of the carrier of C),(id the Element of the carrier of C)) .--> ((id the Element of the carrier of C) (*) D9) is Relation-like Function-like set
{[(id the Element of the carrier of C),(id the Element of the carrier of C)]} --> ((id the Element of the carrier of C) (*) D9) is Relation-like {[(id the Element of the carrier of C),(id the Element of the carrier of C)]} -defined {((id the Element of the carrier of C) (*) D9)} -valued Function-like quasi_total Element of bool [:{[(id the Element of the carrier of C),(id the Element of the carrier of C)]},{((id the Element of the carrier of C) (*) D9)}:]
{((id the Element of the carrier of C) (*) D9)} is non empty set
[:{[(id the Element of the carrier of C),(id the Element of the carrier of C)]},{((id the Element of the carrier of C) (*) D9)}:] is Relation-like non empty set
bool [:{[(id the Element of the carrier of C),(id the Element of the carrier of C)]},{((id the Element of the carrier of C) (*) D9)}:] is non empty set
the Comp of C . ((id the Element of the carrier of C),(id the Element of the carrier of C)) is set
the Comp of C . [(id the Element of the carrier of C),(id the Element of the carrier of C)] is set
[(id the Element of the carrier of C),(id the Element of the carrier of C)] .--> ( the Comp of C . ((id the Element of the carrier of C),(id the Element of the carrier of C))) is set
{[(id the Element of the carrier of C),(id the Element of the carrier of C)]} is Relation-like non empty set
{[(id the Element of the carrier of C),(id the Element of the carrier of C)]} --> ( the Comp of C . ((id the Element of the carrier of C),(id the Element of the carrier of C))) is Relation-like {[(id the Element of the carrier of C),(id the Element of the carrier of C)]} -defined {( the Comp of C . ((id the Element of the carrier of C),(id the Element of the carrier of C)))} -valued Function-like quasi_total Element of bool [:{[(id the Element of the carrier of C),(id the Element of the carrier of C)]},{( the Comp of C . ((id the Element of the carrier of C),(id the Element of the carrier of C)))}:]
{( the Comp of C . ((id the Element of the carrier of C),(id the Element of the carrier of C)))} is non empty set
[:{[(id the Element of the carrier of C),(id the Element of the carrier of C)]},{( the Comp of C . ((id the Element of the carrier of C),(id the Element of the carrier of C)))}:] is Relation-like non empty set
bool [:{[(id the Element of the carrier of C),(id the Element of the carrier of C)]},{( the Comp of C . ((id the Element of the carrier of C),(id the Element of the carrier of C)))}:] is non empty set
D9 is Element of the carrier of (1Cat ( the Element of the carrier of C,(id the Element of the carrier of C)))
T is Element of the carrier of C
id D9 is Morphism of D9,D9
id T is Morphism of T,T
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of C is non empty set
D is non empty non void V55() Category-like transitive associative reflexive with_identities (C)
the carrier of D is non empty set
C9 is Element of the carrier of D
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of C is non empty set
D is non empty non void V55() Category-like transitive associative reflexive with_identities (C)
the carrier' of D is non empty set
C9 is set
D9 is Element of the carrier' of D
dom D9 is Element of the carrier of D
the carrier of D is non empty set
the Source of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
[: the carrier' of D, the carrier of D:] is Relation-like non empty set
bool [: the carrier' of D, the carrier of D:] is non empty set
the Source of D . D9 is Element of the carrier of D
cod D9 is Element of the carrier of D
the Target of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
the Target of D . D9 is Element of the carrier of D
the carrier of C is non empty set
Hom ((dom D9),(cod D9)) is Element of bool the carrier' of D
bool the carrier' of D is non empty set
{ b₁ where b₁ is Element of the carrier' of D : ( dom b₁ = dom D9 & cod b₁ = cod D9 ) } is set
c is Element of the carrier of C
c9 is Element of the carrier of C
Hom (c,c9) is Element of bool the carrier' of C
bool the carrier' of C is non empty set
{ b₁ where b₁ is Element of the carrier' of C : ( dom b₁ = c & cod b₁ = c9 ) } is set
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of C is non empty set
D is non empty non void V55() Category-like transitive associative reflexive with_identities (C)
the carrier' of D is non empty set
C9 is Element of the carrier' of D
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of C is non empty set
D is non empty non void V55() Category-like transitive associative reflexive with_identities (C)
the carrier' of D is non empty set
C9 is Element of the carrier' of D
dom C9 is Element of the carrier of D
the carrier of D is non empty set
the Source of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
[: the carrier' of D, the carrier of D:] is Relation-like non empty set
bool [: the carrier' of D, the carrier of D:] is non empty set
the Source of D . C9 is Element of the carrier of D
cod C9 is Element of the carrier of D
the Target of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
the Target of D . C9 is Element of the carrier of D
D9 is Element of the carrier' of C
dom D9 is Element of the carrier of C
the carrier of C is non empty set
the Source of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
[: the carrier' of C, the carrier of C:] is Relation-like non empty set
bool [: the carrier' of C, the carrier of C:] is non empty set
the Source of C . D9 is Element of the carrier of C
cod D9 is Element of the carrier of C
the Target of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
the Target of C . D9 is Element of the carrier of C
Hom ((dom C9),(cod C9)) is Element of bool the carrier' of D
bool the carrier' of D is non empty set
{ b₁ where b₁ is Element of the carrier' of D : ( dom b₁ = dom C9 & cod b₁ = cod C9 ) } is set
c is Element of the carrier of C
c9 is Element of the carrier of C
Hom (c,c9) is Element of bool the carrier' of C
bool the carrier' of C is non empty set
{ b₁ where b₁ is Element of the carrier' of C : ( dom b₁ = c & cod b₁ = c9 ) } is set
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of C is non empty set
D is non empty non void V55() Category-like transitive associative reflexive with_identities (C)
the carrier of D is non empty set
C9 is Element of the carrier of D
D9 is Element of the carrier of D
Hom (C9,D9) is Element of bool the carrier' of D
the carrier' of D is non empty set
bool the carrier' of D is non empty set
{ b₁ where b₁ is Element of the carrier' of D : ( dom b₁ = C9 & cod b₁ = D9 ) } is set
T is Element of the carrier of C
T9 is Element of the carrier of C
c is Morphism of C9,D9
Hom (T,T9) is Element of bool the carrier' of C
the carrier' of C is non empty set
bool the carrier' of C is non empty set
{ b₁ where b₁ is Element of the carrier' of C : ( dom b₁ = T & cod b₁ = T9 ) } is set
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of C is non empty set
D is non empty non void V55() Category-like transitive associative reflexive with_identities (C)
the carrier' of D is non empty set
C9 is Element of the carrier' of D
D9 is Element of the carrier' of D
dom D9 is Element of the carrier of D
the carrier of D is non empty set
the Source of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
[: the carrier' of D, the carrier of D:] is Relation-like non empty set
bool [: the carrier' of D, the carrier of D:] is non empty set
the Source of D . D9 is Element of the carrier of D
cod C9 is Element of the carrier of D
the Target of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
the Target of D . C9 is Element of the carrier of D
D9 (*) C9 is Element of the carrier' of D
T is Element of the carrier' of C
T9 is Element of the carrier' of C
T9 (*) T is Element of the carrier' of C
dom T9 is Element of the carrier of C
the carrier of C is non empty set
the Source of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
[: the carrier' of C, the carrier of C:] is Relation-like non empty set
bool [: the carrier' of C, the carrier of C:] is non empty set
the Source of C . T9 is Element of the carrier of C
cod T is Element of the carrier of C
the Target of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
the Target of C . T is Element of the carrier of C
the Comp of C is Relation-like [: the carrier' of C, the carrier' of C:] -defined the carrier' of C -valued Function-like Element of bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:]
[: the carrier' of C, the carrier' of C:] is Relation-like non empty set
[:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is non empty set
the Comp of C . (T9,T) is set
[T9,T] is V15() set
{T9,T} is non empty set
{T9} is non empty set
{{T9,T},{T9}} is non empty set
the Comp of C . [T9,T] is set
the Comp of D is Relation-like [: the carrier' of D, the carrier' of D:] -defined the carrier' of D -valued Function-like Element of bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:]
[: the carrier' of D, the carrier' of D:] is Relation-like non empty set
[:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is Relation-like non empty set
bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is non empty set
the Comp of D . (D9,C9) is set
[D9,C9] is V15() set
{D9,C9} is non empty set
{D9} is non empty set
{{D9,C9},{D9}} is non empty set
the Comp of D . [D9,C9] is set
[D9,C9] is V15() Element of [: the carrier' of D, the carrier' of D:]
dom the Comp of D is Relation-like set
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of C is non empty set
the Comp of C is Relation-like [: the carrier' of C, the carrier' of C:] -defined the carrier' of C -valued Function-like Element of bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:]
the carrier' of C is non empty set
[: the carrier' of C, the carrier' of C:] is Relation-like non empty set
[:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is non empty set
D is Element of the carrier of C
D9 is Element of the carrier of C
C9 is Element of the carrier of C
T is Element of the carrier of C
Hom (D,C9) is Element of bool the carrier' of C
bool the carrier' of C is non empty set
{ b₁ where b₁ is Element of the carrier' of C : ( dom b₁ = D & cod b₁ = C9 ) } is set
Hom (D9,T) is Element of bool the carrier' of C
{ b₁ where b₁ is Element of the carrier' of C : ( dom b₁ = D9 & cod b₁ = T ) } is set
T9 is Element of the carrier of C
c is Element of the carrier of C
id T9 is Morphism of T9,T9
id c is Morphism of c,c
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of C is non empty set
D is non empty non void V55() Category-like transitive associative reflexive with_identities (C)
id D is Relation-like the carrier' of D -defined the carrier' of D -valued Function-like quasi_total Functor of D,D
the carrier' of D is non empty set
id the carrier' of D is Relation-like the carrier' of D -defined the carrier' of D -valued non empty total Element of bool [: the carrier' of D, the carrier' of D:]
[: the carrier' of D, the carrier' of D:] is Relation-like non empty set
bool [: the carrier' of D, the carrier' of D:] is non empty set
rng (id D) is set
[: the carrier' of D, the carrier' of C:] is Relation-like non empty set
bool [: the carrier' of D, the carrier' of C:] is non empty set
the carrier of D is non empty set
the carrier of C is non empty set
C9 is Relation-like the carrier' of D -defined the carrier' of C -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier' of C:]
D9 is Element of the carrier of D
id D9 is Morphism of D9,D9
C9 . (id D9) is Element of the carrier' of C
T is Element of the carrier of C
id T is Morphism of T,T
D9 is Element of the carrier' of D
dom D9 is Element of the carrier of D
the Source of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
[: the carrier' of D, the carrier of D:] is Relation-like non empty set
bool [: the carrier' of D, the carrier of D:] is non empty set
the Source of D . D9 is Element of the carrier of D
id (dom D9) is Morphism of dom D9, dom D9
C9 . (id (dom D9)) is Element of the carrier' of C
C9 . D9 is Element of the carrier' of C
dom (C9 . D9) is Element of the carrier of C
the Source of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
[: the carrier' of C, the carrier of C:] is Relation-like non empty set
bool [: the carrier' of C, the carrier of C:] is non empty set
the Source of C . (C9 . D9) is Element of the carrier of C
id (dom (C9 . D9)) is Morphism of dom (C9 . D9), dom (C9 . D9)
cod D9 is Element of the carrier of D
the Target of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
the Target of D . D9 is Element of the carrier of D
id (cod D9) is Morphism of cod D9, cod D9
C9 . (id (cod D9)) is Element of the carrier' of C
cod (C9 . D9) is Element of the carrier of C
the Target of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
the Target of C . (C9 . D9) is Element of the carrier of C
id (cod (C9 . D9)) is Morphism of cod (C9 . D9), cod (C9 . D9)
(id D) . D9 is Element of the carrier' of D
dom ((id D) . D9) is Element of the carrier of D
the Source of D . ((id D) . D9) is Element of the carrier of D
id (dom ((id D) . D9)) is Morphism of dom ((id D) . D9), dom ((id D) . D9)
cod ((id D) . D9) is Element of the carrier of D
the Target of D . ((id D) . D9) is Element of the carrier of D
id (cod ((id D) . D9)) is Morphism of cod ((id D) . D9), cod ((id D) . D9)
D9 is Element of the carrier' of D
C9 . D9 is Element of the carrier' of C
T is Element of the carrier' of D
C9 . T is Element of the carrier' of C
dom T is Element of the carrier of D
the Source of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
[: the carrier' of D, the carrier of D:] is Relation-like non empty set
bool [: the carrier' of D, the carrier of D:] is non empty set
the Source of D . T is Element of the carrier of D
cod D9 is Element of the carrier of D
the Target of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
the Target of D . D9 is Element of the carrier of D
T (*) D9 is Element of the carrier' of D
C9 . (T (*) D9) is Element of the carrier' of C
(id D) . D9 is Element of the carrier' of D
(id D) . T is Element of the carrier' of D
((id D) . T) (*) ((id D) . D9) is Element of the carrier' of D
(C9 . T) (*) (C9 . D9) is Element of the carrier' of C
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
D is non empty non void V55() Category-like transitive associative reflexive with_identities (C)
id D is Relation-like the carrier' of D -defined the carrier' of D -valued Function-like quasi_total Functor of D,D
the carrier' of D is non empty set
id the carrier' of D is Relation-like the carrier' of D -defined the carrier' of D -valued non empty total Element of bool [: the carrier' of D, the carrier' of D:]
[: the carrier' of D, the carrier' of D:] is Relation-like non empty set
bool [: the carrier' of D, the carrier' of D:] is non empty set
the carrier' of C is non empty set
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of C is non empty set
D is non empty non void V55() Category-like transitive associative reflexive with_identities (C)
the carrier of D is non empty set
(C,D) is Relation-like the carrier' of D -defined the carrier' of C -valued Function-like quasi_total Functor of D,C
the carrier' of D is non empty set
the carrier' of C is non empty set
id D is Relation-like the carrier' of D -defined the carrier' of D -valued Function-like quasi_total Functor of D,D
id the carrier' of D is Relation-like the carrier' of D -defined the carrier' of D -valued non empty total Element of bool [: the carrier' of D, the carrier' of D:]
[: the carrier' of D, the carrier' of D:] is Relation-like non empty set
bool [: the carrier' of D, the carrier' of D:] is non empty set
Obj (C,D) is Relation-like the carrier of D -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier of D, the carrier of C:]
[: the carrier of D, the carrier of C:] is Relation-like non empty set
bool [: the carrier of D, the carrier of C:] is non empty set
C9 is Element of the carrier of D
(Obj (C,D)) . C9 is Element of the carrier of C
D9 is Element of the carrier of C
id D9 is Morphism of D9,D9
id C9 is Morphism of C9,C9
(C,D) . (id C9) is Element of the carrier' of C
id ((Obj (C,D)) . C9) is Morphism of (Obj (C,D)) . C9,(Obj (C,D)) . C9
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
D is non empty non void V55() Category-like transitive associative reflexive with_identities (C)
the carrier of D is non empty set
(C,D) is Relation-like the carrier' of D -defined the carrier' of C -valued Function-like quasi_total Functor of D,C
the carrier' of D is non empty set
the carrier' of C is non empty set
id D is Relation-like the carrier' of D -defined the carrier' of D -valued Function-like quasi_total Functor of D,D
id the carrier' of D is Relation-like the carrier' of D -defined the carrier' of D -valued non empty total Element of bool [: the carrier' of D, the carrier' of D:]
[: the carrier' of D, the carrier' of D:] is Relation-like non empty set
bool [: the carrier' of D, the carrier' of D:] is non empty set
C9 is Element of the carrier of D
(C,D) . C9 is Element of the carrier of C
the carrier of C is non empty set
Obj (C,D) is Relation-like the carrier of D -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier of D, the carrier of C:]
[: the carrier of D, the carrier of C:] is Relation-like non empty set
bool [: the carrier of D, the carrier of C:] is non empty set
(Obj (C,D)) . C9 is Element of the carrier of C
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
D is non empty non void V55() Category-like transitive associative reflexive with_identities (C)
(C,D) is Relation-like the carrier' of D -defined the carrier' of C -valued Function-like quasi_total Functor of D,C
the carrier' of D is non empty set
the carrier' of C is non empty set
id D is Relation-like the carrier' of D -defined the carrier' of D -valued Function-like quasi_total Functor of D,D
id the carrier' of D is Relation-like the carrier' of D -defined the carrier' of D -valued non empty total Element of bool [: the carrier' of D, the carrier' of D:]
[: the carrier' of D, the carrier' of D:] is Relation-like non empty set
bool [: the carrier' of D, the carrier' of D:] is non empty set
the carrier of D is non empty set
C9 is Element of the carrier of D
D9 is Element of the carrier of D
Hom (C9,D9) is Element of bool the carrier' of D
bool the carrier' of D is non empty set
{ b₁ where b₁ is Element of the carrier' of D : ( dom b₁ = C9 & cod b₁ = D9 ) } is set
T is Morphism of C9,D9
(C,D) . T is Element of the carrier' of C
T9 is Morphism of C9,D9
(C,D) . T9 is Element of the carrier' of C
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of C is non empty set
D is non empty non void V55() Category-like transitive associative reflexive with_identities (C)
(C,D) is Relation-like the carrier' of D -defined the carrier' of C -valued Function-like quasi_total Functor of D,C
the carrier' of D is non empty set
the carrier' of C is non empty set
id D is Relation-like the carrier' of D -defined the carrier' of D -valued Function-like quasi_total Functor of D,D
id the carrier' of D is Relation-like the carrier' of D -defined the carrier' of D -valued non empty total Element of bool [: the carrier' of D, the carrier' of D:]
[: the carrier' of D, the carrier' of D:] is Relation-like non empty set
bool [: the carrier' of D, the carrier' of D:] is non empty set
the carrier of D is non empty set
D9 is Element of the carrier of D
T is Element of the carrier of D
Hom (D9,T) is Element of bool the carrier' of D
bool the carrier' of D is non empty set
{ b₁ where b₁ is Element of the carrier' of D : ( dom b₁ = D9 & cod b₁ = T ) } is set
T9 is Element of the carrier of C
c is Element of the carrier of C
Hom (T9,c) is Element of bool the carrier' of C
bool the carrier' of C is non empty set
{ b₁ where b₁ is Element of the carrier' of C : ( dom b₁ = T9 & cod b₁ = c ) } is set
c9 is set
(C,D) . D9 is Element of the carrier of C
Obj (C,D) is Relation-like the carrier of D -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier of D, the carrier of C:]
[: the carrier of D, the carrier of C:] is Relation-like non empty set
bool [: the carrier of D, the carrier of C:] is non empty set
(Obj (C,D)) . D9 is Element of the carrier of C
(C,D) . T is Element of the carrier of C
(Obj (C,D)) . T is Element of the carrier of C
d9 is Morphism of (C,D) . D9,(C,D) . T
dd9 is Morphism of D9,T
(C,D) . dd9 is Element of the carrier' of C
D9 is Element of the carrier of D
(C,D) . D9 is Element of the carrier of C
Obj (C,D) is Relation-like the carrier of D -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier of D, the carrier of C:]
[: the carrier of D, the carrier of C:] is Relation-like non empty set
bool [: the carrier of D, the carrier of C:] is non empty set
(Obj (C,D)) . D9 is Element of the carrier of C
T is Element of the carrier of D
(C,D) . T is Element of the carrier of C
(Obj (C,D)) . T is Element of the carrier of C
Hom (((C,D) . D9),((C,D) . T)) is Element of bool the carrier' of C
bool the carrier' of C is non empty set
{ b₁ where b₁ is Element of the carrier' of C : ( dom b₁ = (C,D) . D9 & cod b₁ = (C,D) . T ) } is set
Hom (D9,T) is Element of bool the carrier' of D
bool the carrier' of D is non empty set
{ b₁ where b₁ is Element of the carrier' of D : ( dom b₁ = D9 & cod b₁ = T ) } is set
T9 is Morphism of (C,D) . D9,(C,D) . T
c is Morphism of D9,T
(C,D) . c is Element of the carrier' of C
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
D is non empty non void V55() Category-like transitive associative reflexive with_identities (C)
the carrier of D is non empty set
the carrier of C is non empty set
C9 is Element of the carrier of D
D9 is Element of the carrier of D
Hom (C9,D9) is Element of bool the carrier' of D
the carrier' of D is non empty set
bool the carrier' of D is non empty set
{ b₁ where b₁ is Element of the carrier' of D : ( dom b₁ = C9 & cod b₁ = D9 ) } is set
T is Element of the carrier of C
T9 is Element of the carrier of C
Hom (T,T9) is Element of bool the carrier' of C
the carrier' of C is non empty set
bool the carrier' of C is non empty set
{ b₁ where b₁ is Element of the carrier' of C : ( dom b₁ = T & cod b₁ = T9 ) } is set
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
D is non empty non void V55() Category-like transitive associative reflexive with_identities (C)
(C,D) is Relation-like the carrier' of D -defined the carrier' of C -valued Function-like quasi_total Functor of D,C
the carrier' of D is non empty set
the carrier' of C is non empty set
id D is Relation-like the carrier' of D -defined the carrier' of D -valued Function-like quasi_total Functor of D,D
id the carrier' of D is Relation-like the carrier' of D -defined the carrier' of D -valued non empty total Element of bool [: the carrier' of D, the carrier' of D:]
[: the carrier' of D, the carrier' of D:] is Relation-like non empty set
bool [: the carrier' of D, the carrier' of D:] is non empty set
the carrier of D is non empty set
the carrier of C is non empty set
C9 is Element of the carrier of D
T is Element of the carrier of C
D9 is Element of the carrier of D
T9 is Element of the carrier of C
Hom (C9,D9) is Element of bool the carrier' of D
bool the carrier' of D is non empty set
{ b₁ where b₁ is Element of the carrier' of D : ( dom b₁ = C9 & cod b₁ = D9 ) } is set
Hom (T,T9) is Element of bool the carrier' of C
bool the carrier' of C is non empty set
{ b₁ where b₁ is Element of the carrier' of C : ( dom b₁ = T & cod b₁ = T9 ) } is set
the carrier of D is non empty set
the carrier of C is non empty set
C9 is Element of the carrier of D
T is Element of the carrier of C
D9 is Element of the carrier of D
T9 is Element of the carrier of C
Hom (C9,D9) is Element of bool the carrier' of D
bool the carrier' of D is non empty set
{ b₁ where b₁ is Element of the carrier' of D : ( dom b₁ = C9 & cod b₁ = D9 ) } is set
Hom (T,T9) is Element of bool the carrier' of C
bool the carrier' of C is non empty set
{ b₁ where b₁ is Element of the carrier' of C : ( dom b₁ = T & cod b₁ = T9 ) } is set
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of C is non empty set
bool the carrier of C is non empty set
the carrier' of C is non empty set
bool the carrier' of C is non empty set
D is non empty Element of bool the carrier of C
{ (Hom (b₁,b₂)) where b₁, b₂ is Element of the carrier of C : ( b₁ in D & b₂ in D ) } is set
union { (Hom (b₁,b₂)) where b₁, b₂ is Element of the carrier of C : ( b₁ in D & b₂ in D ) } is set
T is set
T9 is set
c is Element of the carrier of C
c9 is Element of the carrier of C
Hom (c,c9) is Element of bool the carrier' of C
{ b₁ where b₁ is Element of the carrier' of C : ( dom b₁ = c & cod b₁ = c9 ) } is set
the Element of D is Element of D
T9 is Element of the carrier of C
id T9 is Morphism of T9,T9
Hom (T9,T9) is non empty Element of bool the carrier' of C
{ b₁ where b₁ is Element of the carrier' of C : ( dom b₁ = T9 & cod b₁ = T9 ) } is set
T is set
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of C is non empty set
bool the carrier of C is non empty set
the carrier' of C is non empty set
the Source of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
[: the carrier' of C, the carrier of C:] is Relation-like non empty set
bool [: the carrier' of C, the carrier of C:] is non empty set
the Target of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
the Comp of C is Relation-like [: the carrier' of C, the carrier' of C:] -defined the carrier' of C -valued Function-like Element of bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:]
[: the carrier' of C, the carrier' of C:] is Relation-like non empty set
[:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is non empty set
D is non empty Element of bool the carrier of C
{ (Hom (b₁,b₂)) where b₁, b₂ is Element of the carrier of C : ( b₁ in D & b₂ in D ) } is set
union { (Hom (b₁,b₂)) where b₁, b₂ is Element of the carrier of C : ( b₁ in D & b₂ in D ) } is set
dom the Source of C is set
D9 is non empty set
the Source of C | D9 is Relation-like the carrier' of C -defined D9 -defined the carrier' of C -defined the carrier of C -valued Function-like Element of bool [: the carrier' of C, the carrier of C:]
[:D9,D:] is Relation-like non empty set
bool [:D9,D:] is non empty set
the Target of C | D9 is Relation-like the carrier' of C -defined D9 -defined the carrier' of C -defined the carrier of C -valued Function-like Element of bool [: the carrier' of C, the carrier of C:]
the Comp of C || D9 is Relation-like Function-like set
[:D9,D9:] is Relation-like non empty set
the Comp of C | [:D9,D9:] is Relation-like [:D9,D9:] -defined [: the carrier' of C, the carrier' of C:] -defined the carrier' of C -valued set
[:[:D9,D9:],D9:] is Relation-like non empty set
bool [:[:D9,D9:],D9:] is non empty set
T is Element of the carrier' of C
T9 is set
dom T is Element of the carrier of C
the Source of C . T is Element of the carrier of C
cod T is Element of the carrier of C
the Target of C . T is Element of the carrier of C
c is Element of the carrier of C
c9 is Element of the carrier of C
Hom (c,c9) is Element of bool the carrier' of C
bool the carrier' of C is non empty set
{ b₁ where b₁ is Element of the carrier' of C : ( dom b₁ = c & cod b₁ = c9 ) } is set
dom the Target of C is set
dom ( the Source of C | D9) is set
(dom the Source of C) /\ D9 is set
rng ( the Source of C | D9) is set
c9 is set
d9 is set
( the Source of C | D9) . d9 is set
dd9 is Element of the carrier' of C
( the Source of C | D9) . dd9 is set
dom dd9 is Element of the carrier of C
the Source of C . dd9 is Element of the carrier of C
bool the carrier' of C is non empty set
dom ( the Target of C | D9) is set
(dom the Target of C) /\ D9 is set
rng ( the Target of C | D9) is set
c9 is set
d9 is set
( the Target of C | D9) . d9 is set
dd9 is Element of the carrier' of C
( the Target of C | D9) . dd9 is set
cod dd9 is Element of the carrier of C
the Target of C . dd9 is Element of the carrier of C
dom ( the Comp of C || D9) is set
dom the Comp of C is Relation-like set
(dom the Comp of C) /\ [:D9,D9:] is Relation-like set
rng ( the Comp of C || D9) is set
c9 is set
d9 is set
( the Comp of C || D9) . d9 is set
dd9 is Element of the carrier' of C
g1 is Element of the carrier' of C
[dd9,g1] is V15() Element of [: the carrier' of C, the carrier' of C:]
{dd9,g1} is non empty set
{dd9} is non empty set
{{dd9,g1},{dd9}} is non empty set
cod dd9 is Element of the carrier of C
the Target of C . dd9 is Element of the carrier of C
dom dd9 is Element of the carrier of C
the Source of C . dd9 is Element of the carrier of C
cod g1 is Element of the carrier of C
the Target of C . g1 is Element of the carrier of C
dd9 (*) g1 is Element of the carrier' of C
dom (dd9 (*) g1) is Element of the carrier of C
the Source of C . (dd9 (*) g1) is Element of the carrier of C
dom g1 is Element of the carrier of C
the Source of C . g1 is Element of the carrier of C
cod (dd9 (*) g1) is Element of the carrier of C
the Target of C . (dd9 (*) g1) is Element of the carrier of C
Hom ((dom (dd9 (*) g1)),(cod (dd9 (*) g1))) is Element of bool the carrier' of C
{ b₁ where b₁ is Element of the carrier' of C : ( dom b₁ = dom (dd9 (*) g1) & cod b₁ = cod (dd9 (*) g1) ) } is set
the Comp of C . (dd9,g1) is set
[dd9,g1] is V15() set
the Comp of C . [dd9,g1] is set
D is non empty set
C is non empty set
[:D,C:] is Relation-like non empty set
bool [:D,C:] is non empty set
[:D,D:] is Relation-like non empty set
[:[:D,D:],D:] is Relation-like non empty set
bool [:[:D,D:],D:] is non empty set
C9 is Relation-like D -defined C -valued Function-like quasi_total Element of bool [:D,C:]
D9 is Relation-like D -defined C -valued Function-like quasi_total Element of bool [:D,C:]
T is Relation-like [:D,D:] -defined D -valued Function-like Element of bool [:[:D,D:],D:]
CatStr(# C,D,C9,D9,T #) is strict CatStr
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of C is non empty set
bool the carrier of C is non empty set
the carrier' of C is non empty set
the Source of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
[: the carrier' of C, the carrier of C:] is Relation-like non empty set
bool [: the carrier' of C, the carrier of C:] is non empty set
the Target of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
the Comp of C is Relation-like [: the carrier' of C, the carrier' of C:] -defined the carrier' of C -valued Function-like Element of bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:]
[: the carrier' of C, the carrier' of C:] is Relation-like non empty set
[:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is non empty set
D is non empty Element of bool the carrier of C
{ (Hom (b₁,b₂)) where b₁, b₂ is Element of the carrier of C : ( b₁ in D & b₂ in D ) } is set
union { (Hom (b₁,b₂)) where b₁, b₂ is Element of the carrier of C : ( b₁ in D & b₂ in D ) } is set
C9 is non empty set
[:C9,D:] is Relation-like non empty set
bool [:C9,D:] is non empty set
[:C9,C9:] is Relation-like non empty set
[:[:C9,C9:],C9:] is Relation-like non empty set
bool [:[:C9,C9:],C9:] is non empty set
[:D,C9:] is Relation-like non empty set
bool [:D,C9:] is non empty set
the Source of C | C9 is Relation-like the carrier' of C -defined C9 -defined the carrier' of C -defined the carrier of C -valued Function-like Element of bool [: the carrier' of C, the carrier of C:]
the Target of C | C9 is Relation-like the carrier' of C -defined C9 -defined the carrier' of C -defined the carrier of C -valued Function-like Element of bool [: the carrier' of C, the carrier of C:]
the Comp of C || C9 is Relation-like Function-like set
the Comp of C | [:C9,C9:] is Relation-like [:C9,C9:] -defined [: the carrier' of C, the carrier' of C:] -defined the carrier' of C -valued set
D9 is Relation-like C9 -defined D -valued Function-like quasi_total Element of bool [:C9,D:]
T is Relation-like C9 -defined D -valued Function-like quasi_total Element of bool [:C9,D:]
T9 is Relation-like [:C9,C9:] -defined C9 -valued Function-like Element of bool [:[:C9,C9:],C9:]
CatStr(# D,C9,D9,T,T9 #) is non empty non void V55() strict CatStr
the carrier' of CatStr(# D,C9,D9,T,T9 #) is non empty set
dd9 is Element of the carrier' of CatStr(# D,C9,D9,T,T9 #)
g1 is set
f2 is Element of the carrier of C
g2 is Element of the carrier of C
Hom (f2,g2) is Element of bool the carrier' of C
bool the carrier' of C is non empty set
{ b₁ where b₁ is Element of the carrier' of C : ( dom b₁ = f2 & cod b₁ = g2 ) } is set
dom T9 is Relation-like set
g1 is Element of the carrier' of CatStr(# D,C9,D9,T,T9 #)
dd9 is Element of the carrier' of CatStr(# D,C9,D9,T,T9 #)
[g1,dd9] is V15() Element of [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier' of CatStr(# D,C9,D9,T,T9 #):]
[: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier' of CatStr(# D,C9,D9,T,T9 #):] is Relation-like non empty set
{g1,dd9} is non empty set
{g1} is non empty set
{{g1,dd9},{g1}} is non empty set
D9 . g1 is set
T . dd9 is set
f2 is Element of the carrier' of C
dom f2 is Element of the carrier of C
the Source of C . f2 is Element of the carrier of C
g2 is Element of the carrier' of C
cod g2 is Element of the carrier of C
the Target of C . g2 is Element of the carrier of C
dom the Comp of C is Relation-like set
(dom the Comp of C) /\ [:C9,C9:] is Relation-like set
[f2,g2] is V15() Element of [: the carrier' of C, the carrier' of C:]
{f2,g2} is non empty set
{f2} is non empty set
{{f2,g2},{f2}} is non empty set
dom the Comp of C is Relation-like set
(dom the Comp of C) /\ [:C9,C9:] is Relation-like set
the Comp of CatStr(# D,C9,D9,T,T9 #) is Relation-like [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier' of CatStr(# D,C9,D9,T,T9 #):] -defined the carrier' of CatStr(# D,C9,D9,T,T9 #) -valued Function-like Element of bool [:[: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier' of CatStr(# D,C9,D9,T,T9 #):], the carrier' of CatStr(# D,C9,D9,T,T9 #):]
[: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier' of CatStr(# D,C9,D9,T,T9 #):] is Relation-like non empty set
[:[: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier' of CatStr(# D,C9,D9,T,T9 #):], the carrier' of CatStr(# D,C9,D9,T,T9 #):] is Relation-like non empty set
bool [:[: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier' of CatStr(# D,C9,D9,T,T9 #):], the carrier' of CatStr(# D,C9,D9,T,T9 #):] is non empty set
dom the Comp of CatStr(# D,C9,D9,T,T9 #) is Relation-like set
g1 is Element of the carrier' of CatStr(# D,C9,D9,T,T9 #)
dd9 is Element of the carrier' of CatStr(# D,C9,D9,T,T9 #)
[g1,dd9] is V15() Element of [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier' of CatStr(# D,C9,D9,T,T9 #):]
{g1,dd9} is non empty set
{g1} is non empty set
{{g1,dd9},{g1}} is non empty set
dom g1 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
the carrier of CatStr(# D,C9,D9,T,T9 #) is non empty set
the Source of CatStr(# D,C9,D9,T,T9 #) is Relation-like the carrier' of CatStr(# D,C9,D9,T,T9 #) -defined the carrier of CatStr(# D,C9,D9,T,T9 #) -valued Function-like quasi_total Element of bool [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):]
[: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):] is Relation-like non empty set
bool [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):] is non empty set
the Source of CatStr(# D,C9,D9,T,T9 #) . g1 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
cod dd9 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
the Target of CatStr(# D,C9,D9,T,T9 #) is Relation-like the carrier' of CatStr(# D,C9,D9,T,T9 #) -defined the carrier of CatStr(# D,C9,D9,T,T9 #) -valued Function-like quasi_total Element of bool [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):]
the Target of CatStr(# D,C9,D9,T,T9 #) . dd9 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
g2 is Element of the carrier' of CatStr(# D,C9,D9,T,T9 #)
dom g2 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
the Source of CatStr(# D,C9,D9,T,T9 #) . g2 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
f2 is Element of the carrier' of CatStr(# D,C9,D9,T,T9 #)
cod f2 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
the Target of CatStr(# D,C9,D9,T,T9 #) . f2 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
[g2,f2] is V15() Element of [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier' of CatStr(# D,C9,D9,T,T9 #):]
{g2,f2} is non empty set
{g2} is non empty set
{{g2,f2},{g2}} is non empty set
g1 is Element of the carrier' of CatStr(# D,C9,D9,T,T9 #)
dom g1 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
the carrier of CatStr(# D,C9,D9,T,T9 #) is non empty set
the Source of CatStr(# D,C9,D9,T,T9 #) is Relation-like the carrier' of CatStr(# D,C9,D9,T,T9 #) -defined the carrier of CatStr(# D,C9,D9,T,T9 #) -valued Function-like quasi_total Element of bool [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):]
[: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):] is Relation-like non empty set
bool [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):] is non empty set
the Source of CatStr(# D,C9,D9,T,T9 #) . g1 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
dd9 is Element of the carrier' of CatStr(# D,C9,D9,T,T9 #)
cod dd9 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
the Target of CatStr(# D,C9,D9,T,T9 #) is Relation-like the carrier' of CatStr(# D,C9,D9,T,T9 #) -defined the carrier of CatStr(# D,C9,D9,T,T9 #) -valued Function-like quasi_total Element of bool [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):]
the Target of CatStr(# D,C9,D9,T,T9 #) . dd9 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
g1 (*) dd9 is Element of the carrier' of CatStr(# D,C9,D9,T,T9 #)
dom (g1 (*) dd9) is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
the Source of CatStr(# D,C9,D9,T,T9 #) . (g1 (*) dd9) is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
dom dd9 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
the Source of CatStr(# D,C9,D9,T,T9 #) . dd9 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
cod (g1 (*) dd9) is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
the Target of CatStr(# D,C9,D9,T,T9 #) . (g1 (*) dd9) is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
cod g1 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
the Target of CatStr(# D,C9,D9,T,T9 #) . g1 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
D9 . g1 is set
g2 is Element of the carrier' of C
dom g2 is Element of the carrier of C
the Source of C . g2 is Element of the carrier of C
T . dd9 is set
f2 is Element of the carrier' of C
cod f2 is Element of the carrier of C
the Target of C . f2 is Element of the carrier of C
[g1,dd9] is V15() Element of [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier' of CatStr(# D,C9,D9,T,T9 #):]
[: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier' of CatStr(# D,C9,D9,T,T9 #):] is Relation-like non empty set
{g1,dd9} is non empty set
{g1} is non empty set
{{g1,dd9},{g1}} is non empty set
the Comp of CatStr(# D,C9,D9,T,T9 #) is Relation-like [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier' of CatStr(# D,C9,D9,T,T9 #):] -defined the carrier' of CatStr(# D,C9,D9,T,T9 #) -valued Function-like Element of bool [:[: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier' of CatStr(# D,C9,D9,T,T9 #):], the carrier' of CatStr(# D,C9,D9,T,T9 #):]
[:[: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier' of CatStr(# D,C9,D9,T,T9 #):], the carrier' of CatStr(# D,C9,D9,T,T9 #):] is Relation-like non empty set
bool [:[: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier' of CatStr(# D,C9,D9,T,T9 #):], the carrier' of CatStr(# D,C9,D9,T,T9 #):] is non empty set
dom the Comp of CatStr(# D,C9,D9,T,T9 #) is Relation-like set
T9 . (g1,dd9) is set
[g1,dd9] is V15() set
T9 . [g1,dd9] is set
dom the Comp of C is Relation-like set
T9 . [g1,dd9] is set
the Comp of C . (g1,dd9) is set
the Comp of C . [g1,dd9] is set
g2 (*) f2 is Element of the carrier' of C
dom (g2 (*) f2) is Element of the carrier of C
the Source of C . (g2 (*) f2) is Element of the carrier of C
dom f2 is Element of the carrier of C
the Source of C . f2 is Element of the carrier of C
cod (g2 (*) f2) is Element of the carrier of C
the Target of C . (g2 (*) f2) is Element of the carrier of C
cod g2 is Element of the carrier of C
the Target of C . g2 is Element of the carrier of C
f2 is Element of the carrier' of CatStr(# D,C9,D9,T,T9 #)
dom f2 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
the carrier of CatStr(# D,C9,D9,T,T9 #) is non empty set
the Source of CatStr(# D,C9,D9,T,T9 #) is Relation-like the carrier' of CatStr(# D,C9,D9,T,T9 #) -defined the carrier of CatStr(# D,C9,D9,T,T9 #) -valued Function-like quasi_total Element of bool [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):]
[: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):] is Relation-like non empty set
bool [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):] is non empty set
the Source of CatStr(# D,C9,D9,T,T9 #) . f2 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
g1 is Element of the carrier' of CatStr(# D,C9,D9,T,T9 #)
cod g1 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
the Target of CatStr(# D,C9,D9,T,T9 #) is Relation-like the carrier' of CatStr(# D,C9,D9,T,T9 #) -defined the carrier of CatStr(# D,C9,D9,T,T9 #) -valued Function-like quasi_total Element of bool [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):]
the Target of CatStr(# D,C9,D9,T,T9 #) . g1 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
dom g1 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
the Source of CatStr(# D,C9,D9,T,T9 #) . g1 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
dd9 is Element of the carrier' of CatStr(# D,C9,D9,T,T9 #)
cod dd9 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
the Target of CatStr(# D,C9,D9,T,T9 #) . dd9 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
g1 (*) dd9 is Element of the carrier' of CatStr(# D,C9,D9,T,T9 #)
f2 (*) (g1 (*) dd9) is Element of the carrier' of CatStr(# D,C9,D9,T,T9 #)
f2 (*) g1 is Element of the carrier' of CatStr(# D,C9,D9,T,T9 #)
(f2 (*) g1) (*) dd9 is Element of the carrier' of CatStr(# D,C9,D9,T,T9 #)
the Comp of CatStr(# D,C9,D9,T,T9 #) is Relation-like [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier' of CatStr(# D,C9,D9,T,T9 #):] -defined the carrier' of CatStr(# D,C9,D9,T,T9 #) -valued Function-like Element of bool [:[: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier' of CatStr(# D,C9,D9,T,T9 #):], the carrier' of CatStr(# D,C9,D9,T,T9 #):]
[: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier' of CatStr(# D,C9,D9,T,T9 #):] is Relation-like non empty set
[:[: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier' of CatStr(# D,C9,D9,T,T9 #):], the carrier' of CatStr(# D,C9,D9,T,T9 #):] is Relation-like non empty set
bool [:[: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier' of CatStr(# D,C9,D9,T,T9 #):], the carrier' of CatStr(# D,C9,D9,T,T9 #):] is non empty set
the Comp of CatStr(# D,C9,D9,T,T9 #) . (f2,g1) is set
[f2,g1] is V15() set
{f2,g1} is non empty set
{f2} is non empty set
{{f2,g1},{f2}} is non empty set
the Comp of CatStr(# D,C9,D9,T,T9 #) . [f2,g1] is set
the Comp of CatStr(# D,C9,D9,T,T9 #) . (g1,dd9) is set
[g1,dd9] is V15() set
{g1,dd9} is non empty set
{g1} is non empty set
{{g1,dd9},{g1}} is non empty set
the Comp of CatStr(# D,C9,D9,T,T9 #) . [g1,dd9] is set
dom (f2 (*) g1) is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
the Source of CatStr(# D,C9,D9,T,T9 #) . (f2 (*) g1) is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
T . g1 is set
L1 is Element of the carrier' of C
cod L1 is Element of the carrier of C
the Target of C . L1 is Element of the carrier of C
D9 . g1 is set
dom L1 is Element of the carrier of C
the Source of C . L1 is Element of the carrier of C
T . dd9 is set
g2 is Element of the carrier' of C
cod g2 is Element of the carrier of C
the Target of C . g2 is Element of the carrier of C
D9 . f2 is set
L2 is Element of the carrier' of C
dom L2 is Element of the carrier of C
the Source of C . L2 is Element of the carrier of C
L1 (*) g2 is Element of the carrier' of C
the Comp of C . (L1,g2) is set
[L1,g2] is V15() set
{L1,g2} is non empty set
{L1} is non empty set
{{L1,g2},{L1}} is non empty set
the Comp of C . [L1,g2] is set
cod (L1 (*) g2) is Element of the carrier of C
the Target of C . (L1 (*) g2) is Element of the carrier of C
L2 (*) L1 is Element of the carrier' of C
the Comp of C . (L2,L1) is set
[L2,L1] is V15() set
{L2,L1} is non empty set
{L2} is non empty set
{{L2,L1},{L2}} is non empty set
the Comp of C . [L2,L1] is set
dom (L2 (*) L1) is Element of the carrier of C
the Source of C . (L2 (*) L1) is Element of the carrier of C
cod (g1 (*) dd9) is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
the Target of CatStr(# D,C9,D9,T,T9 #) . (g1 (*) dd9) is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
the Comp of CatStr(# D,C9,D9,T,T9 #) . (f2,( the Comp of CatStr(# D,C9,D9,T,T9 #) . (g1,dd9))) is set
[f2,( the Comp of CatStr(# D,C9,D9,T,T9 #) . (g1,dd9))] is V15() set
{f2,( the Comp of CatStr(# D,C9,D9,T,T9 #) . (g1,dd9))} is non empty set
{{f2,( the Comp of CatStr(# D,C9,D9,T,T9 #) . (g1,dd9))},{f2}} is non empty set
the Comp of CatStr(# D,C9,D9,T,T9 #) . [f2,( the Comp of CatStr(# D,C9,D9,T,T9 #) . (g1,dd9))] is set
[g1,dd9] is V15() Element of [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier' of CatStr(# D,C9,D9,T,T9 #):]
T9 . [g1,dd9] is set
[f2,(T9 . [g1,dd9])] is V15() set
{f2,(T9 . [g1,dd9])} is non empty set
{{f2,(T9 . [g1,dd9])},{f2}} is non empty set
the Comp of C . [f2,(T9 . [g1,dd9])] is set
the Comp of C . (L2,(L1 (*) g2)) is set
[L2,(L1 (*) g2)] is V15() set
{L2,(L1 (*) g2)} is non empty set
{{L2,(L1 (*) g2)},{L2}} is non empty set
the Comp of C . [L2,(L1 (*) g2)] is set
L2 (*) (L1 (*) g2) is Element of the carrier' of C
(L2 (*) L1) (*) g2 is Element of the carrier' of C
the Comp of C . (( the Comp of C . (L2,L1)),g2) is set
[( the Comp of C . (L2,L1)),g2] is V15() set
{( the Comp of C . (L2,L1)),g2} is non empty set
{( the Comp of C . (L2,L1))} is non empty set
{{( the Comp of C . (L2,L1)),g2},{( the Comp of C . (L2,L1))}} is non empty set
the Comp of C . [( the Comp of C . (L2,L1)),g2] is set
[f2,g1] is V15() Element of [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier' of CatStr(# D,C9,D9,T,T9 #):]
T9 . [f2,g1] is set
[(T9 . [f2,g1]),dd9] is V15() set
{(T9 . [f2,g1]),dd9} is non empty set
{(T9 . [f2,g1])} is non empty set
{{(T9 . [f2,g1]),dd9},{(T9 . [f2,g1])}} is non empty set
the Comp of C . [(T9 . [f2,g1]),dd9] is set
the Comp of CatStr(# D,C9,D9,T,T9 #) . (( the Comp of CatStr(# D,C9,D9,T,T9 #) . (f2,g1)),dd9) is set
[( the Comp of CatStr(# D,C9,D9,T,T9 #) . (f2,g1)),dd9] is V15() set
{( the Comp of CatStr(# D,C9,D9,T,T9 #) . (f2,g1)),dd9} is non empty set
{( the Comp of CatStr(# D,C9,D9,T,T9 #) . (f2,g1))} is non empty set
{{( the Comp of CatStr(# D,C9,D9,T,T9 #) . (f2,g1)),dd9},{( the Comp of CatStr(# D,C9,D9,T,T9 #) . (f2,g1))}} is non empty set
the Comp of CatStr(# D,C9,D9,T,T9 #) . [( the Comp of CatStr(# D,C9,D9,T,T9 #) . (f2,g1)),dd9] is set
the carrier of CatStr(# D,C9,D9,T,T9 #) is non empty set
dd9 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
Hom (dd9,dd9) is Element of bool the carrier' of CatStr(# D,C9,D9,T,T9 #)
bool the carrier' of CatStr(# D,C9,D9,T,T9 #) is non empty set
{ b₁ where b₁ is Element of the carrier' of CatStr(# D,C9,D9,T,T9 #) : ( dom b₁ = dd9 & cod b₁ = dd9 ) } is set
g1 is Element of the carrier of C
Hom (g1,g1) is non empty Element of bool the carrier' of C
bool the carrier' of C is non empty set
{ b₁ where b₁ is Element of the carrier' of C : ( dom b₁ = g1 & cod b₁ = g1 ) } is set
id g1 is Morphism of g1,g1
f2 is Element of the carrier' of CatStr(# D,C9,D9,T,T9 #)
dom f2 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
the Source of CatStr(# D,C9,D9,T,T9 #) is Relation-like the carrier' of CatStr(# D,C9,D9,T,T9 #) -defined the carrier of CatStr(# D,C9,D9,T,T9 #) -valued Function-like quasi_total Element of bool [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):]
[: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):] is Relation-like non empty set
bool [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):] is non empty set
the Source of CatStr(# D,C9,D9,T,T9 #) . f2 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
dom (id g1) is Element of the carrier of C
the Source of C . (id g1) is Element of the carrier of C
cod f2 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
the Target of CatStr(# D,C9,D9,T,T9 #) is Relation-like the carrier' of CatStr(# D,C9,D9,T,T9 #) -defined the carrier of CatStr(# D,C9,D9,T,T9 #) -valued Function-like quasi_total Element of bool [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):]
the Target of CatStr(# D,C9,D9,T,T9 #) . f2 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
cod (id g1) is Element of the carrier of C
the Target of C . (id g1) is Element of the carrier of C
the carrier of CatStr(# D,C9,D9,T,T9 #) is non empty set
dd9 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
g1 is Element of the carrier of C
Hom (g1,g1) is non empty Element of bool the carrier' of C
bool the carrier' of C is non empty set
{ b₁ where b₁ is Element of the carrier' of C : ( dom b₁ = g1 & cod b₁ = g1 ) } is set
id g1 is Morphism of g1,g1
f2 is Element of the carrier' of CatStr(# D,C9,D9,T,T9 #)
dom f2 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
the Source of CatStr(# D,C9,D9,T,T9 #) is Relation-like the carrier' of CatStr(# D,C9,D9,T,T9 #) -defined the carrier of CatStr(# D,C9,D9,T,T9 #) -valued Function-like quasi_total Element of bool [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):]
[: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):] is Relation-like non empty set
bool [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):] is non empty set
the Source of CatStr(# D,C9,D9,T,T9 #) . f2 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
dom (id g1) is Element of the carrier of C
the Source of C . (id g1) is Element of the carrier of C
cod f2 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
the Target of CatStr(# D,C9,D9,T,T9 #) is Relation-like the carrier' of CatStr(# D,C9,D9,T,T9 #) -defined the carrier of CatStr(# D,C9,D9,T,T9 #) -valued Function-like quasi_total Element of bool [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):]
the Target of CatStr(# D,C9,D9,T,T9 #) . f2 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
cod (id g1) is Element of the carrier of C
the Target of C . (id g1) is Element of the carrier of C
g2 is Morphism of dd9,dd9
L1 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
Hom (dd9,L1) is Element of bool the carrier' of CatStr(# D,C9,D9,T,T9 #)
bool the carrier' of CatStr(# D,C9,D9,T,T9 #) is non empty set
{ b₁ where b₁ is Element of the carrier' of CatStr(# D,C9,D9,T,T9 #) : ( dom b₁ = dd9 & cod b₁ = L1 ) } is set
Hom (L1,dd9) is Element of bool the carrier' of CatStr(# D,C9,D9,T,T9 #)
{ b₁ where b₁ is Element of the carrier' of CatStr(# D,C9,D9,T,T9 #) : ( dom b₁ = L1 & cod b₁ = dd9 ) } is set
M1 is Morphism of dd9,L1
M1 (*) g2 is Element of the carrier' of CatStr(# D,C9,D9,T,T9 #)
M2 is Element of the carrier' of C
dom M2 is Element of the carrier of C
the Source of C . M2 is Element of the carrier of C
dom M1 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
the Source of CatStr(# D,C9,D9,T,T9 #) . M1 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
cod M2 is Element of the carrier of C
the Target of C . M2 is Element of the carrier of C
cod M1 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
the Target of CatStr(# D,C9,D9,T,T9 #) . M1 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
L2 is Element of the carrier of C
T9 . (M1,g2) is set
[M1,g2] is V15() set
{M1,g2} is non empty set
{M1} is non empty set
{{M1,g2},{M1}} is non empty set
T9 . [M1,g2] is set
f is Morphism of g1,L2
the Comp of C . (f,(id g1)) is set
[f,(id g1)] is V15() set
{f,(id g1)} is non empty set
{f} is non empty set
{{f,(id g1)},{f}} is non empty set
the Comp of C . [f,(id g1)] is set
f (*) (id g1) is Element of the carrier' of C
M1 is Morphism of L1,dd9
g2 (*) M1 is Element of the carrier' of CatStr(# D,C9,D9,T,T9 #)
M2 is Element of the carrier' of C
cod M2 is Element of the carrier of C
the Target of C . M2 is Element of the carrier of C
cod M1 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
the Target of CatStr(# D,C9,D9,T,T9 #) . M1 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
dom M2 is Element of the carrier of C
the Source of C . M2 is Element of the carrier of C
dom M1 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
the Source of CatStr(# D,C9,D9,T,T9 #) . M1 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
L2 is Element of the carrier of C
T9 . (g2,M1) is set
[g2,M1] is V15() set
{g2,M1} is non empty set
{g2} is non empty set
{{g2,M1},{g2}} is non empty set
T9 . [g2,M1] is set
f is Morphism of L2,g1
the Comp of C . ((id g1),f) is set
[(id g1),f] is V15() set
{(id g1),f} is non empty set
{(id g1)} is non empty set
{{(id g1),f},{(id g1)}} is non empty set
the Comp of C . [(id g1),f] is set
(id g1) (*) f is Element of the carrier' of C
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of C is non empty set
bool the carrier of C is non empty set
the carrier' of C is non empty set
the Source of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
[: the carrier' of C, the carrier of C:] is Relation-like non empty set
bool [: the carrier' of C, the carrier of C:] is non empty set
the Target of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
the Comp of C is Relation-like [: the carrier' of C, the carrier' of C:] -defined the carrier' of C -valued Function-like Element of bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:]
[: the carrier' of C, the carrier' of C:] is Relation-like non empty set
[:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is non empty set
D is non empty Element of bool the carrier of C
{ (Hom (b₁,b₂)) where b₁, b₂ is Element of the carrier of C : ( b₁ in D & b₂ in D ) } is set
union { (Hom (b₁,b₂)) where b₁, b₂ is Element of the carrier of C : ( b₁ in D & b₂ in D ) } is set
C9 is non empty set
[:C9,D:] is Relation-like non empty set
bool [:C9,D:] is non empty set
[:C9,C9:] is Relation-like non empty set
[:[:C9,C9:],C9:] is Relation-like non empty set
bool [:[:C9,C9:],C9:] is non empty set
[:D,C9:] is Relation-like non empty set
bool [:D,C9:] is non empty set
the Source of C | C9 is Relation-like the carrier' of C -defined C9 -defined the carrier' of C -defined the carrier of C -valued Function-like Element of bool [: the carrier' of C, the carrier of C:]
the Target of C | C9 is Relation-like the carrier' of C -defined C9 -defined the carrier' of C -defined the carrier of C -valued Function-like Element of bool [: the carrier' of C, the carrier of C:]
the Comp of C || C9 is Relation-like Function-like set
the Comp of C | [:C9,C9:] is Relation-like [:C9,C9:] -defined [: the carrier' of C, the carrier' of C:] -defined the carrier' of C -valued set
D9 is Relation-like C9 -defined D -valued Function-like quasi_total Element of bool [:C9,D:]
T is Relation-like C9 -defined D -valued Function-like quasi_total Element of bool [:C9,D:]
T9 is Relation-like [:C9,C9:] -defined C9 -valued Function-like Element of bool [:[:C9,C9:],C9:]
CatStr(# D,C9,D9,T,T9 #) is non empty non void V55() strict CatStr
the carrier' of CatStr(# D,C9,D9,T,T9 #) is non empty set
dd9 is Element of the carrier' of CatStr(# D,C9,D9,T,T9 #)
g1 is set
f2 is Element of the carrier of C
g2 is Element of the carrier of C
Hom (f2,g2) is Element of bool the carrier' of C
bool the carrier' of C is non empty set
{ b₁ where b₁ is Element of the carrier' of C : ( dom b₁ = f2 & cod b₁ = g2 ) } is set
the carrier of CatStr(# D,C9,D9,T,T9 #) is non empty set
dd9 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
g1 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
Hom (dd9,g1) is Element of bool the carrier' of CatStr(# D,C9,D9,T,T9 #)
bool the carrier' of CatStr(# D,C9,D9,T,T9 #) is non empty set
{ b₁ where b₁ is Element of the carrier' of CatStr(# D,C9,D9,T,T9 #) : ( dom b₁ = dd9 & cod b₁ = g1 ) } is set
f2 is Element of the carrier of C
g2 is Element of the carrier of C
Hom (f2,g2) is Element of bool the carrier' of C
bool the carrier' of C is non empty set
{ b₁ where b₁ is Element of the carrier' of C : ( dom b₁ = f2 & cod b₁ = g2 ) } is set
L1 is set
L2 is Element of the carrier' of CatStr(# D,C9,D9,T,T9 #)
cod L2 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
the Target of CatStr(# D,C9,D9,T,T9 #) is Relation-like the carrier' of CatStr(# D,C9,D9,T,T9 #) -defined the carrier of CatStr(# D,C9,D9,T,T9 #) -valued Function-like quasi_total Element of bool [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):]
[: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):] is Relation-like non empty set
bool [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):] is non empty set
the Target of CatStr(# D,C9,D9,T,T9 #) . L2 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
M1 is Element of the carrier' of C
cod M1 is Element of the carrier of C
the Target of C . M1 is Element of the carrier of C
dom L2 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
the Source of CatStr(# D,C9,D9,T,T9 #) is Relation-like the carrier' of CatStr(# D,C9,D9,T,T9 #) -defined the carrier of CatStr(# D,C9,D9,T,T9 #) -valued Function-like quasi_total Element of bool [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):]
the Source of CatStr(# D,C9,D9,T,T9 #) . L2 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
dom M1 is Element of the carrier of C
the Source of C . M1 is Element of the carrier of C
L2 is Element of the carrier' of C
M1 is Element of the carrier' of CatStr(# D,C9,D9,T,T9 #)
cod M1 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
the Target of CatStr(# D,C9,D9,T,T9 #) is Relation-like the carrier' of CatStr(# D,C9,D9,T,T9 #) -defined the carrier of CatStr(# D,C9,D9,T,T9 #) -valued Function-like quasi_total Element of bool [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):]
[: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):] is Relation-like non empty set
bool [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):] is non empty set
the Target of CatStr(# D,C9,D9,T,T9 #) . M1 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
cod L2 is Element of the carrier of C
the Target of C . L2 is Element of the carrier of C
dom M1 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
the Source of CatStr(# D,C9,D9,T,T9 #) is Relation-like the carrier' of CatStr(# D,C9,D9,T,T9 #) -defined the carrier of CatStr(# D,C9,D9,T,T9 #) -valued Function-like quasi_total Element of bool [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):]
the Source of CatStr(# D,C9,D9,T,T9 #) . M1 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
dom L2 is Element of the carrier of C
the Source of C . L2 is Element of the carrier of C
dd9 is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of dd9 is non empty set
g1 is Element of the carrier of dd9
id g1 is Morphism of g1,g1
f2 is Element of the carrier of C
id f2 is Morphism of f2,f2
Hom (f2,f2) is non empty Element of bool the carrier' of C
bool the carrier' of C is non empty set
{ b₁ where b₁ is Element of the carrier' of C : ( dom b₁ = f2 & cod b₁ = f2 ) } is set
the carrier' of dd9 is non empty set
g2 is Element of the carrier' of dd9
dom g2 is Element of the carrier of dd9
the Source of dd9 is Relation-like the carrier' of dd9 -defined the carrier of dd9 -valued Function-like quasi_total Element of bool [: the carrier' of dd9, the carrier of dd9:]
[: the carrier' of dd9, the carrier of dd9:] is Relation-like non empty set
bool [: the carrier' of dd9, the carrier of dd9:] is non empty set
the Source of dd9 . g2 is Element of the carrier of dd9
dom (id f2) is Element of the carrier of C
the Source of C . (id f2) is Element of the carrier of C
cod g2 is Element of the carrier of dd9
the Target of dd9 is Relation-like the carrier' of dd9 -defined the carrier of dd9 -valued Function-like quasi_total Element of bool [: the carrier' of dd9, the carrier of dd9:]
the Target of dd9 . g2 is Element of the carrier of dd9
cod (id f2) is Element of the carrier of C
the Target of C . (id f2) is Element of the carrier of C
Hom (g1,g1) is non empty Element of bool the carrier' of dd9
bool the carrier' of dd9 is non empty set
{ b₁ where b₁ is Element of the carrier' of dd9 : ( dom b₁ = g1 & cod b₁ = g1 ) } is set
dom T9 is Relation-like set
M1 is Element of the carrier' of dd9
L2 is Element of the carrier' of dd9
[M1,L2] is V15() Element of [: the carrier' of dd9, the carrier' of dd9:]
[: the carrier' of dd9, the carrier' of dd9:] is Relation-like non empty set
{M1,L2} is non empty set
{M1} is non empty set
{{M1,L2},{M1}} is non empty set
D9 . M1 is set
T . L2 is set
M2 is Element of the carrier' of C
dom M2 is Element of the carrier of C
the Source of C . M2 is Element of the carrier of C
f is Element of the carrier' of C
cod f is Element of the carrier of C
the Target of C . f is Element of the carrier of C
dom the Comp of C is Relation-like set
(dom the Comp of C) /\ [:C9,C9:] is Relation-like set
[M2,f] is V15() Element of [: the carrier' of C, the carrier' of C:]
{M2,f} is non empty set
{M2} is non empty set
{{M2,f},{M2}} is non empty set
dom the Comp of C is Relation-like set
(dom the Comp of C) /\ [:C9,C9:] is Relation-like set
L1 is Morphism of g1,g1
L2 is Element of the carrier of dd9
Hom (g1,L2) is Element of bool the carrier' of dd9
{ b₁ where b₁ is Element of the carrier' of dd9 : ( dom b₁ = g1 & cod b₁ = L2 ) } is set
Hom (L2,g1) is Element of bool the carrier' of dd9
{ b₁ where b₁ is Element of the carrier' of dd9 : ( dom b₁ = L2 & cod b₁ = g1 ) } is set
M2 is Morphism of g1,L2
M2 (*) L1 is Element of the carrier' of dd9
f is Element of the carrier' of C
dom f is Element of the carrier of C
the Source of C . f is Element of the carrier of C
dom M2 is Element of the carrier of dd9
the Source of dd9 . M2 is Element of the carrier of dd9
cod f is Element of the carrier of C
the Target of C . f is Element of the carrier of C
cod M2 is Element of the carrier of dd9
the Target of dd9 . M2 is Element of the carrier of dd9
M1 is Element of the carrier of C
T9 . (M2,L1) is set
[M2,L1] is V15() set
{M2,L1} is non empty set
{M2} is non empty set
{{M2,L1},{M2}} is non empty set
T9 . [M2,L1] is set
g is Morphism of f2,M1
the Comp of C . (g,(id f2)) is set
[g,(id f2)] is V15() set
{g,(id f2)} is non empty set
{g} is non empty set
{{g,(id f2)},{g}} is non empty set
the Comp of C . [g,(id f2)] is set
g (*) (id f2) is Element of the carrier' of C
M2 is Morphism of L2,g1
L1 (*) M2 is Element of the carrier' of dd9
f is Element of the carrier' of C
cod f is Element of the carrier of C
the Target of C . f is Element of the carrier of C
cod M2 is Element of the carrier of dd9
the Target of dd9 . M2 is Element of the carrier of dd9
dom f is Element of the carrier of C
the Source of C . f is Element of the carrier of C
dom M2 is Element of the carrier of dd9
the Source of dd9 . M2 is Element of the carrier of dd9
M1 is Element of the carrier of C
T9 . (L1,M2) is set
[L1,M2] is V15() set
{L1,M2} is non empty set
{L1} is non empty set
{{L1,M2},{L1}} is non empty set
T9 . [L1,M2] is set
g is Morphism of M1,f2
the Comp of C . ((id f2),g) is set
[(id f2),g] is V15() set
{(id f2),g} is non empty set
{(id f2)} is non empty set
{{(id f2),g},{(id f2)}} is non empty set
the Comp of C . [(id f2),g] is set
(id f2) (*) g is Element of the carrier' of C
the Comp of dd9 is Relation-like [: the carrier' of dd9, the carrier' of dd9:] -defined the carrier' of dd9 -valued Function-like Element of bool [:[: the carrier' of dd9, the carrier' of dd9:], the carrier' of dd9:]
the carrier' of dd9 is non empty set
[: the carrier' of dd9, the carrier' of dd9:] is Relation-like non empty set
[:[: the carrier' of dd9, the carrier' of dd9:], the carrier' of dd9:] is Relation-like non empty set
bool [:[: the carrier' of dd9, the carrier' of dd9:], the carrier' of dd9:] is non empty set
g1 is Element of the carrier of dd9
g2 is Element of the carrier of C
f2 is Element of the carrier of dd9
L1 is Element of the carrier of C
Hom (g1,f2) is Element of bool the carrier' of dd9
bool the carrier' of dd9 is non empty set
{ b₁ where b₁ is Element of the carrier' of dd9 : ( dom b₁ = g1 & cod b₁ = f2 ) } is set
Hom (g2,L1) is Element of bool the carrier' of C
bool the carrier' of C is non empty set
{ b₁ where b₁ is Element of the carrier' of C : ( dom b₁ = g2 & cod b₁ = L1 ) } is set
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of C is non empty set
bool the carrier of C is non empty set
the carrier' of C is non empty set
the Source of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
[: the carrier' of C, the carrier of C:] is Relation-like non empty set
bool [: the carrier' of C, the carrier of C:] is non empty set
the Target of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
the Comp of C is Relation-like [: the carrier' of C, the carrier' of C:] -defined the carrier' of C -valued Function-like Element of bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:]
[: the carrier' of C, the carrier' of C:] is Relation-like non empty set
[:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is non empty set
D is non empty Element of bool the carrier of C
{ (Hom (b₁,b₂)) where b₁, b₂ is Element of the carrier of C : ( b₁ in D & b₂ in D ) } is set
union { (Hom (b₁,b₂)) where b₁, b₂ is Element of the carrier of C : ( b₁ in D & b₂ in D ) } is set
C9 is non empty set
[:C9,D:] is Relation-like non empty set
bool [:C9,D:] is non empty set
[:C9,C9:] is Relation-like non empty set
[:[:C9,C9:],C9:] is Relation-like non empty set
bool [:[:C9,C9:],C9:] is non empty set
[:D,C9:] is Relation-like non empty set
bool [:D,C9:] is non empty set
the Source of C | C9 is Relation-like the carrier' of C -defined C9 -defined the carrier' of C -defined the carrier of C -valued Function-like Element of bool [: the carrier' of C, the carrier of C:]
the Target of C | C9 is Relation-like the carrier' of C -defined C9 -defined the carrier' of C -defined the carrier of C -valued Function-like Element of bool [: the carrier' of C, the carrier of C:]
the Comp of C || C9 is Relation-like Function-like set
the Comp of C | [:C9,C9:] is Relation-like [:C9,C9:] -defined [: the carrier' of C, the carrier' of C:] -defined the carrier' of C -valued set
D9 is Relation-like C9 -defined D -valued Function-like quasi_total Element of bool [:C9,D:]
T is Relation-like C9 -defined D -valued Function-like quasi_total Element of bool [:C9,D:]
T9 is Relation-like [:C9,C9:] -defined C9 -valued Function-like Element of bool [:[:C9,C9:],C9:]
CatStr(# D,C9,D9,T,T9 #) is non empty non void V55() strict CatStr
the carrier' of CatStr(# D,C9,D9,T,T9 #) is non empty set
dd9 is Element of the carrier' of CatStr(# D,C9,D9,T,T9 #)
g1 is set
f2 is Element of the carrier of C
g2 is Element of the carrier of C
Hom (f2,g2) is Element of bool the carrier' of C
bool the carrier' of C is non empty set
{ b₁ where b₁ is Element of the carrier' of C : ( dom b₁ = f2 & cod b₁ = g2 ) } is set
the carrier of CatStr(# D,C9,D9,T,T9 #) is non empty set
dd9 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
g1 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
Hom (dd9,g1) is Element of bool the carrier' of CatStr(# D,C9,D9,T,T9 #)
bool the carrier' of CatStr(# D,C9,D9,T,T9 #) is non empty set
{ b₁ where b₁ is Element of the carrier' of CatStr(# D,C9,D9,T,T9 #) : ( dom b₁ = dd9 & cod b₁ = g1 ) } is set
f2 is Element of the carrier of C
g2 is Element of the carrier of C
Hom (f2,g2) is Element of bool the carrier' of C
bool the carrier' of C is non empty set
{ b₁ where b₁ is Element of the carrier' of C : ( dom b₁ = f2 & cod b₁ = g2 ) } is set
L1 is set
L2 is Element of the carrier' of CatStr(# D,C9,D9,T,T9 #)
cod L2 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
the Target of CatStr(# D,C9,D9,T,T9 #) is Relation-like the carrier' of CatStr(# D,C9,D9,T,T9 #) -defined the carrier of CatStr(# D,C9,D9,T,T9 #) -valued Function-like quasi_total Element of bool [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):]
[: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):] is Relation-like non empty set
bool [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):] is non empty set
the Target of CatStr(# D,C9,D9,T,T9 #) . L2 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
M1 is Element of the carrier' of C
cod M1 is Element of the carrier of C
the Target of C . M1 is Element of the carrier of C
dom L2 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
the Source of CatStr(# D,C9,D9,T,T9 #) is Relation-like the carrier' of CatStr(# D,C9,D9,T,T9 #) -defined the carrier of CatStr(# D,C9,D9,T,T9 #) -valued Function-like quasi_total Element of bool [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):]
the Source of CatStr(# D,C9,D9,T,T9 #) . L2 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
dom M1 is Element of the carrier of C
the Source of C . M1 is Element of the carrier of C
L2 is Element of the carrier' of C
M1 is Element of the carrier' of CatStr(# D,C9,D9,T,T9 #)
cod M1 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
the Target of CatStr(# D,C9,D9,T,T9 #) is Relation-like the carrier' of CatStr(# D,C9,D9,T,T9 #) -defined the carrier of CatStr(# D,C9,D9,T,T9 #) -valued Function-like quasi_total Element of bool [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):]
[: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):] is Relation-like non empty set
bool [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):] is non empty set
the Target of CatStr(# D,C9,D9,T,T9 #) . M1 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
cod L2 is Element of the carrier of C
the Target of C . L2 is Element of the carrier of C
dom M1 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
the Source of CatStr(# D,C9,D9,T,T9 #) is Relation-like the carrier' of CatStr(# D,C9,D9,T,T9 #) -defined the carrier of CatStr(# D,C9,D9,T,T9 #) -valued Function-like quasi_total Element of bool [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):]
the Source of CatStr(# D,C9,D9,T,T9 #) . M1 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
dom L2 is Element of the carrier of C
the Source of C . L2 is Element of the carrier of C
dd9 is non empty non void V55() Category-like transitive associative reflexive with_identities (C)
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of C is non empty set
bool the carrier of C is non empty set
the carrier' of C is non empty set
the Source of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
[: the carrier' of C, the carrier of C:] is Relation-like non empty set
bool [: the carrier' of C, the carrier of C:] is non empty set
the Target of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
the Comp of C is Relation-like [: the carrier' of C, the carrier' of C:] -defined the carrier' of C -valued Function-like Element of bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:]
[: the carrier' of C, the carrier' of C:] is Relation-like non empty set
[:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is non empty set
D is non empty Element of bool the carrier of C
{ (Hom (b₁,b₂)) where b₁, b₂ is Element of the carrier of C : ( b₁ in D & b₂ in D ) } is set
union { (Hom (b₁,b₂)) where b₁, b₂ is Element of the carrier of C : ( b₁ in D & b₂ in D ) } is set
C9 is non empty set
[:C9,D:] is Relation-like non empty set
bool [:C9,D:] is non empty set
[:C9,C9:] is Relation-like non empty set
[:[:C9,C9:],C9:] is Relation-like non empty set
bool [:[:C9,C9:],C9:] is non empty set
the Source of C | C9 is Relation-like the carrier' of C -defined C9 -defined the carrier' of C -defined the carrier of C -valued Function-like Element of bool [: the carrier' of C, the carrier of C:]
the Target of C | C9 is Relation-like the carrier' of C -defined C9 -defined the carrier' of C -defined the carrier of C -valued Function-like Element of bool [: the carrier' of C, the carrier of C:]
the Comp of C || C9 is Relation-like Function-like set
the Comp of C | [:C9,C9:] is Relation-like [:C9,C9:] -defined [: the carrier' of C, the carrier' of C:] -defined the carrier' of C -valued set
D9 is Relation-like C9 -defined D -valued Function-like quasi_total Element of bool [:C9,D:]
T is Relation-like C9 -defined D -valued Function-like quasi_total Element of bool [:C9,D:]
T9 is Relation-like [:C9,C9:] -defined C9 -valued Function-like Element of bool [:[:C9,C9:],C9:]
CatStr(# D,C9,D9,T,T9 #) is non empty non void V55() strict CatStr
the carrier' of CatStr(# D,C9,D9,T,T9 #) is non empty set
d9 is Element of the carrier' of CatStr(# D,C9,D9,T,T9 #)
D9 . d9 is set
the Source of C . d9 is set
T . d9 is set
the Target of C . d9 is set
dom d9 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
the carrier of CatStr(# D,C9,D9,T,T9 #) is non empty set
the Source of CatStr(# D,C9,D9,T,T9 #) is Relation-like the carrier' of CatStr(# D,C9,D9,T,T9 #) -defined the carrier of CatStr(# D,C9,D9,T,T9 #) -valued Function-like quasi_total Element of bool [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):]
[: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):] is Relation-like non empty set
bool [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):] is non empty set
the Source of CatStr(# D,C9,D9,T,T9 #) . d9 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
dd9 is Element of the carrier' of C
dom dd9 is Element of the carrier of C
the Source of C . dd9 is Element of the carrier of C
cod d9 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
the Target of CatStr(# D,C9,D9,T,T9 #) is Relation-like the carrier' of CatStr(# D,C9,D9,T,T9 #) -defined the carrier of CatStr(# D,C9,D9,T,T9 #) -valued Function-like quasi_total Element of bool [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):]
the Target of CatStr(# D,C9,D9,T,T9 #) . d9 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
cod dd9 is Element of the carrier of C
the Target of C . dd9 is Element of the carrier of C
d9 is set
dd9 is Element of the carrier' of CatStr(# D,C9,D9,T,T9 #)
g1 is Element of the carrier' of C
dom g1 is Element of the carrier of C
the Source of C . g1 is Element of the carrier of C
cod g1 is Element of the carrier of C
the Target of C . g1 is Element of the carrier of C
the carrier of CatStr(# D,C9,D9,T,T9 #) is non empty set
the Source of CatStr(# D,C9,D9,T,T9 #) is Relation-like the carrier' of CatStr(# D,C9,D9,T,T9 #) -defined the carrier of CatStr(# D,C9,D9,T,T9 #) -valued Function-like quasi_total Element of bool [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):]
[: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):] is Relation-like non empty set
bool [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):] is non empty set
the Source of CatStr(# D,C9,D9,T,T9 #) . dd9 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
the Target of CatStr(# D,C9,D9,T,T9 #) is Relation-like the carrier' of CatStr(# D,C9,D9,T,T9 #) -defined the carrier of CatStr(# D,C9,D9,T,T9 #) -valued Function-like quasi_total Element of bool [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):]
the Target of CatStr(# D,C9,D9,T,T9 #) . dd9 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
Hom ((dom g1),(cod g1)) is Element of bool the carrier' of C
bool the carrier' of C is non empty set
{ b₁ where b₁ is Element of the carrier' of C : ( dom b₁ = dom g1 & cod b₁ = cod g1 ) } is set
dd9 is set
g1 is Element of the carrier of C
f2 is Element of the carrier of C
Hom (g1,f2) is Element of bool the carrier' of C
bool the carrier' of C is non empty set
{ b₁ where b₁ is Element of the carrier' of C : ( dom b₁ = g1 & cod b₁ = f2 ) } is set
the carrier of CatStr(# D,C9,D9,T,T9 #) is non empty set
g2 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
L1 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
Hom (g2,L1) is Element of bool the carrier' of CatStr(# D,C9,D9,T,T9 #)
bool the carrier' of CatStr(# D,C9,D9,T,T9 #) is non empty set
{ b₁ where b₁ is Element of the carrier' of CatStr(# D,C9,D9,T,T9 #) : ( dom b₁ = g2 & cod b₁ = L1 ) } is set
f2 is Element of C9
D9 . f2 is Element of D
the Source of C . f2 is set
d9 is Relation-like C9 -defined D -valued Function-like quasi_total Element of bool [:C9,D:]
d9 . f2 is Element of D
f2 is Element of C9
T . f2 is Element of D
the Target of C . f2 is set
dd9 is Relation-like C9 -defined D -valued Function-like quasi_total Element of bool [:C9,D:]
dd9 . f2 is Element of D
dom T9 is Relation-like set
dom ( the Comp of C || C9) is set
dom the Comp of C is Relation-like set
(dom the Comp of C) /\ [:C9,C9:] is Relation-like set
the Comp of CatStr(# D,C9,D9,T,T9 #) is Relation-like [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier' of CatStr(# D,C9,D9,T,T9 #):] -defined the carrier' of CatStr(# D,C9,D9,T,T9 #) -valued Function-like Element of bool [:[: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier' of CatStr(# D,C9,D9,T,T9 #):], the carrier' of CatStr(# D,C9,D9,T,T9 #):]
[: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier' of CatStr(# D,C9,D9,T,T9 #):] is Relation-like non empty set
[:[: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier' of CatStr(# D,C9,D9,T,T9 #):], the carrier' of CatStr(# D,C9,D9,T,T9 #):] is Relation-like non empty set
bool [:[: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier' of CatStr(# D,C9,D9,T,T9 #):], the carrier' of CatStr(# D,C9,D9,T,T9 #):] is non empty set
f2 is set
g2 is Element of C9
L1 is Element of C9
[g2,L1] is V15() Element of [:C9,C9:]
{g2,L1} is non empty set
{g2} is non empty set
{{g2,L1},{g2}} is non empty set
L2 is Element of the carrier' of CatStr(# D,C9,D9,T,T9 #)
M1 is Element of the carrier' of CatStr(# D,C9,D9,T,T9 #)
[M1,L2] is V15() Element of [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier' of CatStr(# D,C9,D9,T,T9 #):]
{M1,L2} is non empty set
{M1} is non empty set
{{M1,L2},{M1}} is non empty set
f is Element of the carrier' of C
dom f is Element of the carrier of C
the Source of C . f is Element of the carrier of C
M2 is Element of the carrier' of C
cod M2 is Element of the carrier of C
the Target of C . M2 is Element of the carrier of C
cod L2 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
the Target of CatStr(# D,C9,D9,T,T9 #) is Relation-like the carrier' of CatStr(# D,C9,D9,T,T9 #) -defined the carrier of CatStr(# D,C9,D9,T,T9 #) -valued Function-like quasi_total Element of bool [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):]
[: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):] is Relation-like non empty set
bool [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):] is non empty set
the Target of CatStr(# D,C9,D9,T,T9 #) . L2 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
dom M1 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
the Source of CatStr(# D,C9,D9,T,T9 #) is Relation-like the carrier' of CatStr(# D,C9,D9,T,T9 #) -defined the carrier of CatStr(# D,C9,D9,T,T9 #) -valued Function-like quasi_total Element of bool [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):]
the Source of CatStr(# D,C9,D9,T,T9 #) . M1 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
f2 is set
g2 is Element of C9
L1 is Element of C9
[g2,L1] is V15() Element of [:C9,C9:]
{g2,L1} is non empty set
{g2} is non empty set
{{g2,L1},{g2}} is non empty set
M1 is Element of the carrier' of CatStr(# D,C9,D9,T,T9 #)
dom M1 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
the Source of CatStr(# D,C9,D9,T,T9 #) is Relation-like the carrier' of CatStr(# D,C9,D9,T,T9 #) -defined the carrier of CatStr(# D,C9,D9,T,T9 #) -valued Function-like quasi_total Element of bool [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):]
[: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):] is Relation-like non empty set
bool [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):] is non empty set
the Source of CatStr(# D,C9,D9,T,T9 #) . M1 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
L2 is Element of the carrier' of CatStr(# D,C9,D9,T,T9 #)
cod L2 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
the Target of CatStr(# D,C9,D9,T,T9 #) is Relation-like the carrier' of CatStr(# D,C9,D9,T,T9 #) -defined the carrier of CatStr(# D,C9,D9,T,T9 #) -valued Function-like quasi_total Element of bool [: the carrier' of CatStr(# D,C9,D9,T,T9 #), the carrier of CatStr(# D,C9,D9,T,T9 #):]
the Target of CatStr(# D,C9,D9,T,T9 #) . L2 is Element of the carrier of CatStr(# D,C9,D9,T,T9 #)
M2 is Element of the carrier' of C
cod M2 is Element of the carrier of C
the Target of C . M2 is Element of the carrier of C
f is Element of the carrier' of C
dom f is Element of the carrier of C
the Source of C . f is Element of the carrier of C
T9 . f2 is set
T9 . (M1,L2) is set
[M1,L2] is V15() set
{M1,L2} is non empty set
{M1} is non empty set
{{M1,L2},{M1}} is non empty set
T9 . [M1,L2] is set
M1 (*) L2 is Element of the carrier' of CatStr(# D,C9,D9,T,T9 #)
f (*) M2 is Element of the carrier' of C
the Comp of C . (f,M2) is set
[f,M2] is V15() set
{f,M2} is non empty set
{f} is non empty set
{{f,M2},{f}} is non empty set
the Comp of C . [f,M2] is set
( the Comp of C || C9) . f2 is set
C is non empty set
C9 is non empty set
[:C,C9:] is Relation-like non empty set
bool [:C,C9:] is non empty set
D is non empty set
D9 is non empty set
[:D,D9:] is Relation-like non empty set
bool [:D,D9:] is non empty set
T is Relation-like C -defined C9 -valued Function-like quasi_total Element of bool [:C,C9:]
T9 is Relation-like D -defined D9 -valued Function-like quasi_total Element of bool [:D,D9:]
[:T,T9:] is Relation-like Function-like set
[:C,D:] is Relation-like non empty set
[:C9,D9:] is Relation-like non empty set
[:[:C,D:],[:C9,D9:]:] is Relation-like non empty set
bool [:[:C,D:],[:C9,D9:]:] is non empty set
[:T,T9:] is Relation-like [:C,D:] -defined [:C9,D9:] -valued Function-like quasi_total Element of bool [:[:C,D:],[:C9,D9:]:]
C is non empty set
[:C,C:] is Relation-like non empty set
[:[:C,C:],C:] is Relation-like non empty set
bool [:[:C,C:],C:] is non empty set
D is non empty set
[:D,D:] is Relation-like non empty set
[:[:D,D:],D:] is Relation-like non empty set
bool [:[:D,D:],D:] is non empty set
C9 is Relation-like [:C,C:] -defined C -valued Function-like Element of bool [:[:C,C:],C:]
D9 is Relation-like [:D,D:] -defined D -valued Function-like Element of bool [:[:D,D:],D:]
|:C9,D9:| is Relation-like Function-like set
[:C,D:] is Relation-like non empty set
[:[:C,D:],[:C,D:]:] is Relation-like non empty set
[:[:[:C,D:],[:C,D:]:],[:C,D:]:] is Relation-like non empty set
bool [:[:[:C,D:],[:C,D:]:],[:C,D:]:] is non empty set
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of C is non empty set
D is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of D is non empty set
[: the carrier of C, the carrier of D:] is Relation-like non empty set
the carrier' of C is non empty set
the carrier' of D is non empty set
[: the carrier' of C, the carrier' of D:] is Relation-like non empty set
the Source of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
[: the carrier' of C, the carrier of C:] is Relation-like non empty set
bool [: the carrier' of C, the carrier of C:] is non empty set
the Source of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
[: the carrier' of D, the carrier of D:] is Relation-like non empty set
bool [: the carrier' of D, the carrier of D:] is non empty set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is non empty set
the Target of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
the Target of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
the Comp of C is Relation-like [: the carrier' of C, the carrier' of C:] -defined the carrier' of C -valued Function-like Element of bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:]
[: the carrier' of C, the carrier' of C:] is Relation-like non empty set
[:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is non empty set
the Comp of D is Relation-like [: the carrier' of D, the carrier' of D:] -defined the carrier' of D -valued Function-like Element of bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:]
[: the carrier' of D, the carrier' of D:] is Relation-like non empty set
[:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is Relation-like non empty set
bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is non empty set
( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) is Relation-like [:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] -defined [: the carrier' of C, the carrier' of D:] -valued Function-like Element of bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
[:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is non empty set
CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is non empty non void V55() strict CatStr
dom the Comp of C is Relation-like set
dom the Comp of D is Relation-like set
d9 is Element of [: the carrier' of C, the carrier' of D:]
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) . d9 is Element of [: the carrier of C, the carrier of D:]
c9 is Element of [: the carrier' of C, the carrier' of D:]
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) . c9 is Element of [: the carrier of C, the carrier of D:]
d9 `1 is Element of the carrier' of C
c9 `1 is Element of the carrier' of C
[(d9 `1),(c9 `1)] is V15() Element of [: the carrier' of C, the carrier' of C:]
{(d9 `1),(c9 `1)} is non empty set
{(d9 `1)} is non empty set
{{(d9 `1),(c9 `1)},{(d9 `1)}} is non empty set
d9 `2 is Element of the carrier' of D
c9 `2 is Element of the carrier' of D
[(d9 `2),(c9 `2)] is V15() Element of [: the carrier' of D, the carrier' of D:]
{(d9 `2),(c9 `2)} is non empty set
{(d9 `2)} is non empty set
{{(d9 `2),(c9 `2)},{(d9 `2)}} is non empty set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) . ((d9 `1),(d9 `2)) is Element of [: the carrier of C, the carrier of D:]
[(d9 `1),(d9 `2)] is V15() set
{(d9 `1),(d9 `2)} is non empty set
{{(d9 `1),(d9 `2)},{(d9 `1)}} is non empty set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) . [(d9 `1),(d9 `2)] is set
the Source of C . (d9 `1) is Element of the carrier of C
the Source of D . (d9 `2) is Element of the carrier of D
[( the Source of C . (d9 `1)),( the Source of D . (d9 `2))] is V15() Element of [: the carrier of C, the carrier of D:]
{( the Source of C . (d9 `1)),( the Source of D . (d9 `2))} is non empty set
{( the Source of C . (d9 `1))} is non empty set
{{( the Source of C . (d9 `1)),( the Source of D . (d9 `2))},{( the Source of C . (d9 `1))}} is non empty set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) . ((c9 `1),(c9 `2)) is Element of [: the carrier of C, the carrier of D:]
[(c9 `1),(c9 `2)] is V15() set
{(c9 `1),(c9 `2)} is non empty set
{(c9 `1)} is non empty set
{{(c9 `1),(c9 `2)},{(c9 `1)}} is non empty set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) . [(c9 `1),(c9 `2)] is set
the Target of C . (c9 `1) is Element of the carrier of C
the Target of D . (c9 `2) is Element of the carrier of D
[( the Target of C . (c9 `1)),( the Target of D . (c9 `2))] is V15() Element of [: the carrier of C, the carrier of D:]
{( the Target of C . (c9 `1)),( the Target of D . (c9 `2))} is non empty set
{( the Target of C . (c9 `1))} is non empty set
{{( the Target of C . (c9 `1)),( the Target of D . (c9 `2))},{( the Target of C . (c9 `1))}} is non empty set
[(d9 `1),(d9 `2)] is V15() Element of [: the carrier' of C, the carrier' of D:]
[(c9 `1),(c9 `2)] is V15() Element of [: the carrier' of C, the carrier' of D:]
dom (d9 `1) is Element of the carrier of C
cod (c9 `1) is Element of the carrier of C
dom (d9 `2) is Element of the carrier of D
cod (c9 `2) is Element of the carrier of D
dom ( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) is Relation-like set
d9 is Element of [: the carrier' of C, the carrier' of D:]
c9 is Element of [: the carrier' of C, the carrier' of D:]
[d9,c9] is V15() Element of [:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:]
{d9,c9} is non empty set
{d9} is non empty set
{{d9,c9},{d9}} is non empty set
d9 `1 is Element of the carrier' of C
dom (d9 `1) is Element of the carrier of C
the Source of C . (d9 `1) is Element of the carrier of C
c9 `1 is Element of the carrier' of C
cod (c9 `1) is Element of the carrier of C
the Target of C . (c9 `1) is Element of the carrier of C
d9 `2 is Element of the carrier' of D
dom (d9 `2) is Element of the carrier of D
the Source of D . (d9 `2) is Element of the carrier of D
c9 `2 is Element of the carrier' of D
cod (c9 `2) is Element of the carrier of D
the Target of D . (c9 `2) is Element of the carrier of D
[(d9 `1),(d9 `2)] is V15() Element of [: the carrier' of C, the carrier' of D:]
{(d9 `1),(d9 `2)} is non empty set
{(d9 `1)} is non empty set
{{(d9 `1),(d9 `2)},{(d9 `1)}} is non empty set
[(c9 `1),(c9 `2)] is V15() Element of [: the carrier' of C, the carrier' of D:]
{(c9 `1),(c9 `2)} is non empty set
{(c9 `1)} is non empty set
{{(c9 `1),(c9 `2)},{(c9 `1)}} is non empty set
[(d9 `1),(c9 `1)] is V15() Element of [: the carrier' of C, the carrier' of C:]
{(d9 `1),(c9 `1)} is non empty set
{{(d9 `1),(c9 `1)},{(d9 `1)}} is non empty set
[(d9 `2),(c9 `2)] is V15() Element of [: the carrier' of D, the carrier' of D:]
{(d9 `2),(c9 `2)} is non empty set
{(d9 `2)} is non empty set
{{(d9 `2),(c9 `2)},{(d9 `2)}} is non empty set
the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is non empty set
dd9 is Element of the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
d9 is Element of the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
[dd9,d9] is V15() set
{dd9,d9} is non empty set
{dd9} is non empty set
{{dd9,d9},{dd9}} is non empty set
the Comp of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is Relation-like [: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):] -defined the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) -valued Function-like Element of bool [:[: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):], the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):]
[: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):] is Relation-like non empty set
[:[: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):], the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):] is Relation-like non empty set
bool [:[: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):], the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):] is non empty set
dom the Comp of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is Relation-like set
dom dd9 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is non empty set
the Source of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is Relation-like the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) -defined the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) -valued Function-like quasi_total Element of bool [: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):]
[: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):] is Relation-like non empty set
bool [: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):] is non empty set
the Source of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) . dd9 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
cod d9 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
the Target of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is Relation-like the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) -defined the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) -valued Function-like quasi_total Element of bool [: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):]
the Target of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) . d9 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
f2 is Element of [: the carrier' of C, the carrier' of D:]
f2 `1 is Element of the carrier' of C
f2 `2 is Element of the carrier' of D
[(f2 `1),(f2 `2)] is V15() Element of [: the carrier' of C, the carrier' of D:]
{(f2 `1),(f2 `2)} is non empty set
{(f2 `1)} is non empty set
{{(f2 `1),(f2 `2)},{(f2 `1)}} is non empty set
g1 is Element of [: the carrier' of C, the carrier' of D:]
g1 `1 is Element of the carrier' of C
g1 `2 is Element of the carrier' of D
[(g1 `1),(g1 `2)] is V15() Element of [: the carrier' of C, the carrier' of D:]
{(g1 `1),(g1 `2)} is non empty set
{(g1 `1)} is non empty set
{{(g1 `1),(g1 `2)},{(g1 `1)}} is non empty set
[dd9,d9] is V15() Element of [: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):]
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) . ((f2 `1),(f2 `2)) is Element of [: the carrier of C, the carrier of D:]
[(f2 `1),(f2 `2)] is V15() set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) . [(f2 `1),(f2 `2)] is set
dom (f2 `1) is Element of the carrier of C
the Source of C . (f2 `1) is Element of the carrier of C
dom (f2 `2) is Element of the carrier of D
the Source of D . (f2 `2) is Element of the carrier of D
[(dom (f2 `1)),(dom (f2 `2))] is V15() Element of [: the carrier of C, the carrier of D:]
{(dom (f2 `1)),(dom (f2 `2))} is non empty set
{(dom (f2 `1))} is non empty set
{{(dom (f2 `1)),(dom (f2 `2))},{(dom (f2 `1))}} is non empty set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) . ((g1 `1),(g1 `2)) is Element of [: the carrier of C, the carrier of D:]
[(g1 `1),(g1 `2)] is V15() set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) . [(g1 `1),(g1 `2)] is set
cod (g1 `1) is Element of the carrier of C
the Target of C . (g1 `1) is Element of the carrier of C
cod (g1 `2) is Element of the carrier of D
the Target of D . (g1 `2) is Element of the carrier of D
[(cod (g1 `1)),(cod (g1 `2))] is V15() Element of [: the carrier of C, the carrier of D:]
{(cod (g1 `1)),(cod (g1 `2))} is non empty set
{(cod (g1 `1))} is non empty set
{{(cod (g1 `1)),(cod (g1 `2))},{(cod (g1 `1))}} is non empty set
[(f2 `1),(g1 `1)] is V15() Element of [: the carrier' of C, the carrier' of C:]
{(f2 `1),(g1 `1)} is non empty set
{{(f2 `1),(g1 `1)},{(f2 `1)}} is non empty set
[(f2 `2),(g1 `2)] is V15() Element of [: the carrier' of D, the carrier' of D:]
{(f2 `2),(g1 `2)} is non empty set
{(f2 `2)} is non empty set
{{(f2 `2),(g1 `2)},{(f2 `2)}} is non empty set
the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is non empty set
the Comp of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is Relation-like [: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):] -defined the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) -valued Function-like Element of bool [:[: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):], the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):]
[: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):] is Relation-like non empty set
[:[: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):], the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):] is Relation-like non empty set
bool [:[: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):], the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):] is non empty set
dom the Comp of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is Relation-like set
dd9 is Element of the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
d9 is Element of the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
[dd9,d9] is V15() Element of [: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):]
{dd9,d9} is non empty set
{dd9} is non empty set
{{dd9,d9},{dd9}} is non empty set
dom dd9 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is non empty set
the Source of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is Relation-like the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) -defined the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) -valued Function-like quasi_total Element of bool [: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):]
[: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):] is Relation-like non empty set
bool [: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):] is non empty set
the Source of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) . dd9 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
cod d9 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
the Target of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is Relation-like the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) -defined the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) -valued Function-like quasi_total Element of bool [: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):]
the Target of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) . d9 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
f2 is Element of the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
dom f2 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
the Source of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) . f2 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
g1 is Element of the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
cod g1 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
the Target of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) . g1 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
[f2,g1] is V15() Element of [: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):]
{f2,g1} is non empty set
{f2} is non empty set
{{f2,g1},{f2}} is non empty set
dd9 is Element of [: the carrier' of C, the carrier' of D:]
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) . dd9 is Element of [: the carrier of C, the carrier of D:]
d9 is Element of [: the carrier' of C, the carrier' of D:]
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) . d9 is Element of [: the carrier of C, the carrier of D:]
( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) . (dd9,d9) is set
[dd9,d9] is V15() set
{dd9,d9} is non empty set
{dd9} is non empty set
{{dd9,d9},{dd9}} is non empty set
( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) . [dd9,d9] is set
dd9 `1 is Element of the carrier' of C
d9 `1 is Element of the carrier' of C
the Comp of C . ((dd9 `1),(d9 `1)) is set
[(dd9 `1),(d9 `1)] is V15() set
{(dd9 `1),(d9 `1)} is non empty set
{(dd9 `1)} is non empty set
{{(dd9 `1),(d9 `1)},{(dd9 `1)}} is non empty set
the Comp of C . [(dd9 `1),(d9 `1)] is set
dd9 `2 is Element of the carrier' of D
d9 `2 is Element of the carrier' of D
the Comp of D . ((dd9 `2),(d9 `2)) is set
[(dd9 `2),(d9 `2)] is V15() set
{(dd9 `2),(d9 `2)} is non empty set
{(dd9 `2)} is non empty set
{{(dd9 `2),(d9 `2)},{(dd9 `2)}} is non empty set
the Comp of D . [(dd9 `2),(d9 `2)] is set
[( the Comp of C . ((dd9 `1),(d9 `1))),( the Comp of D . ((dd9 `2),(d9 `2)))] is V15() set
{( the Comp of C . ((dd9 `1),(d9 `1))),( the Comp of D . ((dd9 `2),(d9 `2)))} is non empty set
{( the Comp of C . ((dd9 `1),(d9 `1)))} is non empty set
{{( the Comp of C . ((dd9 `1),(d9 `1))),( the Comp of D . ((dd9 `2),(d9 `2)))},{( the Comp of C . ((dd9 `1),(d9 `1)))}} is non empty set
f2 is Element of the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
dom f2 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is non empty set
the Source of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is Relation-like the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) -defined the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) -valued Function-like quasi_total Element of bool [: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):]
[: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):] is Relation-like non empty set
bool [: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):] is non empty set
the Source of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) . f2 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
g1 is Element of the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
cod g1 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
the Target of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is Relation-like the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) -defined the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) -valued Function-like quasi_total Element of bool [: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):]
the Target of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) . g1 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
[(dd9 `1),(dd9 `2)] is V15() Element of [: the carrier' of C, the carrier' of D:]
{(dd9 `1),(dd9 `2)} is non empty set
{{(dd9 `1),(dd9 `2)},{(dd9 `1)}} is non empty set
[(d9 `1),(d9 `2)] is V15() Element of [: the carrier' of C, the carrier' of D:]
{(d9 `1),(d9 `2)} is non empty set
{(d9 `1)} is non empty set
{{(d9 `1),(d9 `2)},{(d9 `1)}} is non empty set
dd9 is Element of [: the carrier' of C, the carrier' of D:]
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) . dd9 is Element of [: the carrier of C, the carrier of D:]
d9 is Element of [: the carrier' of C, the carrier' of D:]
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) . d9 is Element of [: the carrier of C, the carrier of D:]
( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) . (dd9,d9) is set
[dd9,d9] is V15() set
{dd9,d9} is non empty set
{dd9} is non empty set
{{dd9,d9},{dd9}} is non empty set
( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) . [dd9,d9] is set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) . (( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) . (dd9,d9)) is set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) . d9 is Element of [: the carrier of C, the carrier of D:]
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) . (( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) . (dd9,d9)) is set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) . dd9 is Element of [: the carrier of C, the carrier of D:]
d9 `1 is Element of the carrier' of C
d9 `2 is Element of the carrier' of D
[(d9 `1),(d9 `2)] is V15() Element of [: the carrier' of C, the carrier' of D:]
{(d9 `1),(d9 `2)} is non empty set
{(d9 `1)} is non empty set
{{(d9 `1),(d9 `2)},{(d9 `1)}} is non empty set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) . ((d9 `1),(d9 `2)) is Element of [: the carrier of C, the carrier of D:]
[(d9 `1),(d9 `2)] is V15() set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) . [(d9 `1),(d9 `2)] is set
dom (d9 `1) is Element of the carrier of C
the Source of C . (d9 `1) is Element of the carrier of C
dom (d9 `2) is Element of the carrier of D
the Source of D . (d9 `2) is Element of the carrier of D
[(dom (d9 `1)),(dom (d9 `2))] is V15() Element of [: the carrier of C, the carrier of D:]
{(dom (d9 `1)),(dom (d9 `2))} is non empty set
{(dom (d9 `1))} is non empty set
{{(dom (d9 `1)),(dom (d9 `2))},{(dom (d9 `1))}} is non empty set
dd9 `1 is Element of the carrier' of C
[(dd9 `1),(d9 `1)] is V15() Element of [: the carrier' of C, the carrier' of C:]
{(dd9 `1),(d9 `1)} is non empty set
{(dd9 `1)} is non empty set
{{(dd9 `1),(d9 `1)},{(dd9 `1)}} is non empty set
the Comp of C . [(dd9 `1),(d9 `1)] is set
the Comp of C . ((dd9 `1),(d9 `1)) is set
[(dd9 `1),(d9 `1)] is V15() set
the Comp of C . [(dd9 `1),(d9 `1)] is set
dom the Source of C is set
f2 is Element of the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
dom f2 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is non empty set
the Source of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is Relation-like the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) -defined the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) -valued Function-like quasi_total Element of bool [: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):]
[: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):] is Relation-like non empty set
bool [: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):] is non empty set
the Source of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) . f2 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
g1 is Element of the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
cod g1 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
the Target of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is Relation-like the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) -defined the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) -valued Function-like quasi_total Element of bool [: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):]
the Target of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) . g1 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
[f2,g1] is V15() Element of [: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):]
{f2,g1} is non empty set
{f2} is non empty set
{{f2,g1},{f2}} is non empty set
dom (dd9 `1) is Element of the carrier of C
the Source of C . (dd9 `1) is Element of the carrier of C
cod (d9 `1) is Element of the carrier of C
the Target of C . (d9 `1) is Element of the carrier of C
(dd9 `1) (*) (d9 `1) is Element of the carrier' of C
dom ((dd9 `1) (*) (d9 `1)) is Element of the carrier of C
the Source of C . ((dd9 `1) (*) (d9 `1)) is Element of the carrier of C
dd9 `2 is Element of the carrier' of D
[(dd9 `2),(d9 `2)] is V15() Element of [: the carrier' of D, the carrier' of D:]
{(dd9 `2),(d9 `2)} is non empty set
{(dd9 `2)} is non empty set
{{(dd9 `2),(d9 `2)},{(dd9 `2)}} is non empty set
the Comp of D . [(dd9 `2),(d9 `2)] is set
the Comp of D . ((dd9 `2),(d9 `2)) is set
[(dd9 `2),(d9 `2)] is V15() set
the Comp of D . [(dd9 `2),(d9 `2)] is set
dom the Source of D is set
dom (dd9 `2) is Element of the carrier of D
the Source of D . (dd9 `2) is Element of the carrier of D
cod (d9 `2) is Element of the carrier of D
the Target of D . (d9 `2) is Element of the carrier of D
(dd9 `2) (*) (d9 `2) is Element of the carrier' of D
dom ((dd9 `2) (*) (d9 `2)) is Element of the carrier of D
the Source of D . ((dd9 `2) (*) (d9 `2)) is Element of the carrier of D
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) . (( the Comp of C . ((dd9 `1),(d9 `1))),( the Comp of D . ((dd9 `2),(d9 `2)))) is set
[( the Comp of C . ((dd9 `1),(d9 `1))),( the Comp of D . ((dd9 `2),(d9 `2)))] is V15() set
{( the Comp of C . ((dd9 `1),(d9 `1))),( the Comp of D . ((dd9 `2),(d9 `2)))} is non empty set
{( the Comp of C . ((dd9 `1),(d9 `1)))} is non empty set
{{( the Comp of C . ((dd9 `1),(d9 `1))),( the Comp of D . ((dd9 `2),(d9 `2)))},{( the Comp of C . ((dd9 `1),(d9 `1)))}} is non empty set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) . [( the Comp of C . ((dd9 `1),(d9 `1))),( the Comp of D . ((dd9 `2),(d9 `2)))] is set
[(dd9 `1),(dd9 `2)] is V15() Element of [: the carrier' of C, the carrier' of D:]
{(dd9 `1),(dd9 `2)} is non empty set
{{(dd9 `1),(dd9 `2)},{(dd9 `1)}} is non empty set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) . ((dd9 `1),(dd9 `2)) is Element of [: the carrier of C, the carrier of D:]
[(dd9 `1),(dd9 `2)] is V15() set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) . [(dd9 `1),(dd9 `2)] is set
the Target of C . (dd9 `1) is Element of the carrier of C
the Target of D . (dd9 `2) is Element of the carrier of D
[( the Target of C . (dd9 `1)),( the Target of D . (dd9 `2))] is V15() Element of [: the carrier of C, the carrier of D:]
{( the Target of C . (dd9 `1)),( the Target of D . (dd9 `2))} is non empty set
{( the Target of C . (dd9 `1))} is non empty set
{{( the Target of C . (dd9 `1)),( the Target of D . (dd9 `2))},{( the Target of C . (dd9 `1))}} is non empty set
cod ((dd9 `2) (*) (d9 `2)) is Element of the carrier of D
the Target of D . ((dd9 `2) (*) (d9 `2)) is Element of the carrier of D
cod (dd9 `2) is Element of the carrier of D
cod ((dd9 `1) (*) (d9 `1)) is Element of the carrier of C
the Target of C . ((dd9 `1) (*) (d9 `1)) is Element of the carrier of C
cod (dd9 `1) is Element of the carrier of C
dom the Target of D is set
dom the Target of C is set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) . (( the Comp of C . ((dd9 `1),(d9 `1))),( the Comp of D . ((dd9 `2),(d9 `2)))) is set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) . [( the Comp of C . ((dd9 `1),(d9 `1))),( the Comp of D . ((dd9 `2),(d9 `2)))] is set
dd9 is Element of the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
dom dd9 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is non empty set
the Source of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is Relation-like the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) -defined the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) -valued Function-like quasi_total Element of bool [: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):]
[: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):] is Relation-like non empty set
bool [: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):] is non empty set
the Source of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) . dd9 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
d9 is Element of the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
cod d9 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
the Target of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is Relation-like the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) -defined the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) -valued Function-like quasi_total Element of bool [: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):]
the Target of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) . d9 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
dd9 (*) d9 is Element of the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
dom (dd9 (*) d9) is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
the Source of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) . (dd9 (*) d9) is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
dom d9 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
the Source of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) . d9 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
cod (dd9 (*) d9) is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
the Target of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) . (dd9 (*) d9) is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
cod dd9 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
the Target of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) . dd9 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
the Comp of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) . (dd9,d9) is set
[dd9,d9] is V15() set
{dd9,d9} is non empty set
{dd9} is non empty set
{{dd9,d9},{dd9}} is non empty set
the Comp of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) . [dd9,d9] is set
g1 is Element of the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
dom g1 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is non empty set
the Source of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is Relation-like the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) -defined the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) -valued Function-like quasi_total Element of bool [: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):]
[: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):] is Relation-like non empty set
bool [: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):] is non empty set
the Source of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) . g1 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
dd9 is Element of the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
cod dd9 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
the Target of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is Relation-like the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) -defined the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) -valued Function-like quasi_total Element of bool [: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):]
the Target of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) . dd9 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
dom dd9 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
the Source of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) . dd9 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
d9 is Element of the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
cod d9 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
the Target of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) . d9 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
dd9 (*) d9 is Element of the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
g1 (*) (dd9 (*) d9) is Element of the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
g1 (*) dd9 is Element of the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
(g1 (*) dd9) (*) d9 is Element of the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
L1 is Element of [: the carrier' of C, the carrier' of D:]
L1 `1 is Element of the carrier' of C
g2 is Element of [: the carrier' of C, the carrier' of D:]
g2 `1 is Element of the carrier' of C
[(L1 `1),(g2 `1)] is V15() Element of [: the carrier' of C, the carrier' of C:]
{(L1 `1),(g2 `1)} is non empty set
{(L1 `1)} is non empty set
{{(L1 `1),(g2 `1)},{(L1 `1)}} is non empty set
the Comp of C . [(L1 `1),(g2 `1)] is set
L1 `2 is Element of the carrier' of D
g2 `2 is Element of the carrier' of D
[(L1 `2),(g2 `2)] is V15() Element of [: the carrier' of D, the carrier' of D:]
{(L1 `2),(g2 `2)} is non empty set
{(L1 `2)} is non empty set
{{(L1 `2),(g2 `2)},{(L1 `2)}} is non empty set
the Comp of D . [(L1 `2),(g2 `2)] is set
f2 is Element of [: the carrier' of C, the carrier' of D:]
f2 `1 is Element of the carrier' of C
[(g2 `1),(f2 `1)] is V15() Element of [: the carrier' of C, the carrier' of C:]
{(g2 `1),(f2 `1)} is non empty set
{(g2 `1)} is non empty set
{{(g2 `1),(f2 `1)},{(g2 `1)}} is non empty set
the Comp of C . [(g2 `1),(f2 `1)] is set
f2 `2 is Element of the carrier' of D
[(g2 `2),(f2 `2)] is V15() Element of [: the carrier' of D, the carrier' of D:]
{(g2 `2),(f2 `2)} is non empty set
{(g2 `2)} is non empty set
{{(g2 `2),(f2 `2)},{(g2 `2)}} is non empty set
the Comp of D . [(g2 `2),(f2 `2)] is set
[( the Comp of C . [(g2 `1),(f2 `1)]),( the Comp of D . [(g2 `2),(f2 `2)])] is V15() set
{( the Comp of C . [(g2 `1),(f2 `1)]),( the Comp of D . [(g2 `2),(f2 `2)])} is non empty set
{( the Comp of C . [(g2 `1),(f2 `1)])} is non empty set
{{( the Comp of C . [(g2 `1),(f2 `1)]),( the Comp of D . [(g2 `2),(f2 `2)])},{( the Comp of C . [(g2 `1),(f2 `1)])}} is non empty set
[( the Comp of C . [(L1 `1),(g2 `1)]),( the Comp of D . [(L1 `2),(g2 `2)])] is V15() set
{( the Comp of C . [(L1 `1),(g2 `1)]),( the Comp of D . [(L1 `2),(g2 `2)])} is non empty set
{( the Comp of C . [(L1 `1),(g2 `1)])} is non empty set
{{( the Comp of C . [(L1 `1),(g2 `1)]),( the Comp of D . [(L1 `2),(g2 `2)])},{( the Comp of C . [(L1 `1),(g2 `1)])}} is non empty set
L2 is Element of [: the carrier' of C, the carrier' of D:]
L2 `2 is Element of the carrier' of D
M1 is Element of [: the carrier' of C, the carrier' of D:]
M1 `2 is Element of the carrier' of D
L2 `1 is Element of the carrier' of C
M1 `1 is Element of the carrier' of C
( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) . (g2,f2) is set
[g2,f2] is V15() set
{g2,f2} is non empty set
{g2} is non empty set
{{g2,f2},{g2}} is non empty set
( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) . [g2,f2] is set
the Comp of C . ((g2 `1),(f2 `1)) is set
[(g2 `1),(f2 `1)] is V15() set
the Comp of C . [(g2 `1),(f2 `1)] is set
the Comp of D . ((g2 `2),(f2 `2)) is set
[(g2 `2),(f2 `2)] is V15() set
the Comp of D . [(g2 `2),(f2 `2)] is set
[( the Comp of C . ((g2 `1),(f2 `1))),( the Comp of D . ((g2 `2),(f2 `2)))] is V15() set
{( the Comp of C . ((g2 `1),(f2 `1))),( the Comp of D . ((g2 `2),(f2 `2)))} is non empty set
{( the Comp of C . ((g2 `1),(f2 `1)))} is non empty set
{{( the Comp of C . ((g2 `1),(f2 `1))),( the Comp of D . ((g2 `2),(f2 `2)))},{( the Comp of C . ((g2 `1),(f2 `1)))}} is non empty set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) . L1 is Element of [: the carrier of C, the carrier of D:]
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) . (( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) . (g2,f2)) is set
( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) . (L1,g2) is set
[L1,g2] is V15() set
{L1,g2} is non empty set
{L1} is non empty set
{{L1,g2},{L1}} is non empty set
( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) . [L1,g2] is set
the Comp of C . ((L1 `1),(g2 `1)) is set
[(L1 `1),(g2 `1)] is V15() set
the Comp of C . [(L1 `1),(g2 `1)] is set
the Comp of D . ((L1 `2),(g2 `2)) is set
[(L1 `2),(g2 `2)] is V15() set
the Comp of D . [(L1 `2),(g2 `2)] is set
[( the Comp of C . ((L1 `1),(g2 `1))),( the Comp of D . ((L1 `2),(g2 `2)))] is V15() set
{( the Comp of C . ((L1 `1),(g2 `1))),( the Comp of D . ((L1 `2),(g2 `2)))} is non empty set
{( the Comp of C . ((L1 `1),(g2 `1)))} is non empty set
{{( the Comp of C . ((L1 `1),(g2 `1))),( the Comp of D . ((L1 `2),(g2 `2)))},{( the Comp of C . ((L1 `1),(g2 `1)))}} is non empty set
dom (L1 `2) is Element of the carrier of D
the Source of D . (L1 `2) is Element of the carrier of D
cod (g2 `2) is Element of the carrier of D
the Target of D . (g2 `2) is Element of the carrier of D
dom (L1 `1) is Element of the carrier of C
the Source of C . (L1 `1) is Element of the carrier of C
cod (g2 `1) is Element of the carrier of C
the Target of C . (g2 `1) is Element of the carrier of C
dom (g2 `2) is Element of the carrier of D
the Source of D . (g2 `2) is Element of the carrier of D
cod (f2 `2) is Element of the carrier of D
the Target of D . (f2 `2) is Element of the carrier of D
dom (g2 `1) is Element of the carrier of C
the Source of C . (g2 `1) is Element of the carrier of C
cod (f2 `1) is Element of the carrier of C
the Target of C . (f2 `1) is Element of the carrier of C
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) . (( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) . (L1,g2)) is set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) . f2 is Element of [: the carrier of C, the carrier of D:]
(g2 `2) (*) (f2 `2) is Element of the carrier' of D
(L1 `2) (*) ((g2 `2) (*) (f2 `2)) is Element of the carrier' of D
(L1 `2) (*) (g2 `2) is Element of the carrier' of D
((L1 `2) (*) (g2 `2)) (*) (f2 `2) is Element of the carrier' of D
cod (dd9 (*) d9) is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
the Target of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) . (dd9 (*) d9) is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
dom (g1 (*) dd9) is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
the Source of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) . (g1 (*) dd9) is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
(g2 `1) (*) (f2 `1) is Element of the carrier' of C
cod ((g2 `1) (*) (f2 `1)) is Element of the carrier of C
the Target of C . ((g2 `1) (*) (f2 `1)) is Element of the carrier of C
cod ((g2 `2) (*) (f2 `2)) is Element of the carrier of D
the Target of D . ((g2 `2) (*) (f2 `2)) is Element of the carrier of D
the Comp of D . ((L1 `2),(L2 `2)) is set
[(L1 `2),(L2 `2)] is V15() set
{(L1 `2),(L2 `2)} is non empty set
{{(L1 `2),(L2 `2)},{(L1 `2)}} is non empty set
the Comp of D . [(L1 `2),(L2 `2)] is set
(L1 `1) (*) (g2 `1) is Element of the carrier' of C
dom ((L1 `1) (*) (g2 `1)) is Element of the carrier of C
the Source of C . ((L1 `1) (*) (g2 `1)) is Element of the carrier of C
dom ((L1 `2) (*) (g2 `2)) is Element of the carrier of D
the Source of D . ((L1 `2) (*) (g2 `2)) is Element of the carrier of D
the Comp of D . ((M1 `2),(f2 `2)) is set
[(M1 `2),(f2 `2)] is V15() set
{(M1 `2),(f2 `2)} is non empty set
{(M1 `2)} is non empty set
{{(M1 `2),(f2 `2)},{(M1 `2)}} is non empty set
the Comp of D . [(M1 `2),(f2 `2)] is set
( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) . (L1,(( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) . (g2,f2))) is set
[L1,(( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) . (g2,f2))] is V15() set
{L1,(( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) . (g2,f2))} is non empty set
{{L1,(( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) . (g2,f2))},{L1}} is non empty set
( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) . [L1,(( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) . (g2,f2))] is set
the Comp of C . ((L1 `1),(L2 `1)) is set
[(L1 `1),(L2 `1)] is V15() set
{(L1 `1),(L2 `1)} is non empty set
{{(L1 `1),(L2 `1)},{(L1 `1)}} is non empty set
the Comp of C . [(L1 `1),(L2 `1)] is set
[( the Comp of C . ((L1 `1),(L2 `1))),( the Comp of D . ((L1 `2),(L2 `2)))] is V15() set
{( the Comp of C . ((L1 `1),(L2 `1))),( the Comp of D . ((L1 `2),(L2 `2)))} is non empty set
{( the Comp of C . ((L1 `1),(L2 `1)))} is non empty set
{{( the Comp of C . ((L1 `1),(L2 `1))),( the Comp of D . ((L1 `2),(L2 `2)))},{( the Comp of C . ((L1 `1),(L2 `1)))}} is non empty set
(L1 `1) (*) ((g2 `1) (*) (f2 `1)) is Element of the carrier' of C
[((L1 `1) (*) ((g2 `1) (*) (f2 `1))),((L1 `2) (*) ((g2 `2) (*) (f2 `2)))] is V15() Element of [: the carrier' of C, the carrier' of D:]
{((L1 `1) (*) ((g2 `1) (*) (f2 `1))),((L1 `2) (*) ((g2 `2) (*) (f2 `2)))} is non empty set
{((L1 `1) (*) ((g2 `1) (*) (f2 `1)))} is non empty set
{{((L1 `1) (*) ((g2 `1) (*) (f2 `1))),((L1 `2) (*) ((g2 `2) (*) (f2 `2)))},{((L1 `1) (*) ((g2 `1) (*) (f2 `1)))}} is non empty set
((L1 `1) (*) (g2 `1)) (*) (f2 `1) is Element of the carrier' of C
[(((L1 `1) (*) (g2 `1)) (*) (f2 `1)),(((L1 `2) (*) (g2 `2)) (*) (f2 `2))] is V15() Element of [: the carrier' of C, the carrier' of D:]
{(((L1 `1) (*) (g2 `1)) (*) (f2 `1)),(((L1 `2) (*) (g2 `2)) (*) (f2 `2))} is non empty set
{(((L1 `1) (*) (g2 `1)) (*) (f2 `1))} is non empty set
{{(((L1 `1) (*) (g2 `1)) (*) (f2 `1)),(((L1 `2) (*) (g2 `2)) (*) (f2 `2))},{(((L1 `1) (*) (g2 `1)) (*) (f2 `1))}} is non empty set
the Comp of C . ((M1 `1),(f2 `1)) is set
[(M1 `1),(f2 `1)] is V15() set
{(M1 `1),(f2 `1)} is non empty set
{(M1 `1)} is non empty set
{{(M1 `1),(f2 `1)},{(M1 `1)}} is non empty set
the Comp of C . [(M1 `1),(f2 `1)] is set
[( the Comp of C . ((M1 `1),(f2 `1))),( the Comp of D . ((M1 `2),(f2 `2)))] is V15() set
{( the Comp of C . ((M1 `1),(f2 `1))),( the Comp of D . ((M1 `2),(f2 `2)))} is non empty set
{( the Comp of C . ((M1 `1),(f2 `1)))} is non empty set
{{( the Comp of C . ((M1 `1),(f2 `1))),( the Comp of D . ((M1 `2),(f2 `2)))},{( the Comp of C . ((M1 `1),(f2 `1)))}} is non empty set
( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) . ((( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) . (L1,g2)),f2) is set
[(( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) . (L1,g2)),f2] is V15() set
{(( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) . (L1,g2)),f2} is non empty set
{(( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) . (L1,g2))} is non empty set
{{(( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) . (L1,g2)),f2},{(( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) . (L1,g2))}} is non empty set
( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) . [(( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) . (L1,g2)),f2] is set
the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is non empty set
d9 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
Hom (d9,d9) is Element of bool the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
bool the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is non empty set
{ b<sub>1</sub> where b<sub>1</sub> is Element of the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) : ( dom b<sub>1</sub> = d9 & cod b<sub>1</sub> = d9 ) } is set
dd9 is Element of [: the carrier of C, the carrier of D:]
dd9 `1 is Element of the carrier of C
id (dd9 `1) is Morphism of dd9 `1 ,dd9 `1
dd9 `2 is Element of the carrier of D
id (dd9 `2) is Morphism of dd9 `2 ,dd9 `2
[(id (dd9 `1)),(id (dd9 `2))] is V15() Element of [: the carrier' of C, the carrier' of D:]
{(id (dd9 `1)),(id (dd9 `2))} is non empty set
{(id (dd9 `1))} is non empty set
{{(id (dd9 `1)),(id (dd9 `2))},{(id (dd9 `1))}} is non empty set
g1 is Element of the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
cod g1 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
the Target of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is Relation-like the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) -defined the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) -valued Function-like quasi_total Element of bool [: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):]
[: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):] is Relation-like non empty set
bool [: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):] is non empty set
the Target of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) . g1 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) . ((id (dd9 `1)),(id (dd9 `2))) is Element of [: the carrier of C, the carrier of D:]
[(id (dd9 `1)),(id (dd9 `2))] is V15() set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) . [(id (dd9 `1)),(id (dd9 `2))] is set
cod (id (dd9 `1)) is Element of the carrier of C
the Target of C . (id (dd9 `1)) is Element of the carrier of C
cod (id (dd9 `2)) is Element of the carrier of D
the Target of D . (id (dd9 `2)) is Element of the carrier of D
[(cod (id (dd9 `1))),(cod (id (dd9 `2)))] is V15() Element of [: the carrier of C, the carrier of D:]
{(cod (id (dd9 `1))),(cod (id (dd9 `2)))} is non empty set
{(cod (id (dd9 `1)))} is non empty set
{{(cod (id (dd9 `1))),(cod (id (dd9 `2)))},{(cod (id (dd9 `1)))}} is non empty set
[(dd9 `1),(cod (id (dd9 `2)))] is V15() Element of [: the carrier of C, the carrier of D:]
{(dd9 `1),(cod (id (dd9 `2)))} is non empty set
{(dd9 `1)} is non empty set
{{(dd9 `1),(cod (id (dd9 `2)))},{(dd9 `1)}} is non empty set
[(dd9 `1),(dd9 `2)] is V15() Element of [: the carrier of C, the carrier of D:]
{(dd9 `1),(dd9 `2)} is non empty set
{{(dd9 `1),(dd9 `2)},{(dd9 `1)}} is non empty set
dom g1 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
the Source of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is Relation-like the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) -defined the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) -valued Function-like quasi_total Element of bool [: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):]
the Source of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) . g1 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) . ((id (dd9 `1)),(id (dd9 `2))) is Element of [: the carrier of C, the carrier of D:]
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) . [(id (dd9 `1)),(id (dd9 `2))] is set
dom (id (dd9 `1)) is Element of the carrier of C
the Source of C . (id (dd9 `1)) is Element of the carrier of C
dom (id (dd9 `2)) is Element of the carrier of D
the Source of D . (id (dd9 `2)) is Element of the carrier of D
[(dom (id (dd9 `1))),(dom (id (dd9 `2)))] is V15() Element of [: the carrier of C, the carrier of D:]
{(dom (id (dd9 `1))),(dom (id (dd9 `2)))} is non empty set
{(dom (id (dd9 `1)))} is non empty set
{{(dom (id (dd9 `1))),(dom (id (dd9 `2)))},{(dom (id (dd9 `1)))}} is non empty set
[(dd9 `1),(dom (id (dd9 `2)))] is V15() Element of [: the carrier of C, the carrier of D:]
{(dd9 `1),(dom (id (dd9 `2)))} is non empty set
{{(dd9 `1),(dom (id (dd9 `2)))},{(dd9 `1)}} is non empty set
the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is non empty set
d9 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
dd9 is Element of [: the carrier of C, the carrier of D:]
dd9 `1 is Element of the carrier of C
id (dd9 `1) is Morphism of dd9 `1 ,dd9 `1
dd9 `2 is Element of the carrier of D
id (dd9 `2) is Morphism of dd9 `2 ,dd9 `2
[(id (dd9 `1)),(id (dd9 `2))] is V15() Element of [: the carrier' of C, the carrier' of D:]
{(id (dd9 `1)),(id (dd9 `2))} is non empty set
{(id (dd9 `1))} is non empty set
{{(id (dd9 `1)),(id (dd9 `2))},{(id (dd9 `1))}} is non empty set
g1 is Element of the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
cod g1 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
the Target of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is Relation-like the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) -defined the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) -valued Function-like quasi_total Element of bool [: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):]
[: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):] is Relation-like non empty set
bool [: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):] is non empty set
the Target of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) . g1 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) . ((id (dd9 `1)),(id (dd9 `2))) is Element of [: the carrier of C, the carrier of D:]
[(id (dd9 `1)),(id (dd9 `2))] is V15() set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) . [(id (dd9 `1)),(id (dd9 `2))] is set
cod (id (dd9 `1)) is Element of the carrier of C
the Target of C . (id (dd9 `1)) is Element of the carrier of C
cod (id (dd9 `2)) is Element of the carrier of D
the Target of D . (id (dd9 `2)) is Element of the carrier of D
[(cod (id (dd9 `1))),(cod (id (dd9 `2)))] is V15() Element of [: the carrier of C, the carrier of D:]
{(cod (id (dd9 `1))),(cod (id (dd9 `2)))} is non empty set
{(cod (id (dd9 `1)))} is non empty set
{{(cod (id (dd9 `1))),(cod (id (dd9 `2)))},{(cod (id (dd9 `1)))}} is non empty set
[(dd9 `1),(cod (id (dd9 `2)))] is V15() Element of [: the carrier of C, the carrier of D:]
{(dd9 `1),(cod (id (dd9 `2)))} is non empty set
{(dd9 `1)} is non empty set
{{(dd9 `1),(cod (id (dd9 `2)))},{(dd9 `1)}} is non empty set
[(dd9 `1),(dd9 `2)] is V15() Element of [: the carrier of C, the carrier of D:]
{(dd9 `1),(dd9 `2)} is non empty set
{{(dd9 `1),(dd9 `2)},{(dd9 `1)}} is non empty set
dom g1 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
the Source of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is Relation-like the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) -defined the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) -valued Function-like quasi_total Element of bool [: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):]
the Source of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) . g1 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) . ((id (dd9 `1)),(id (dd9 `2))) is Element of [: the carrier of C, the carrier of D:]
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) . [(id (dd9 `1)),(id (dd9 `2))] is set
dom (id (dd9 `1)) is Element of the carrier of C
the Source of C . (id (dd9 `1)) is Element of the carrier of C
dom (id (dd9 `2)) is Element of the carrier of D
the Source of D . (id (dd9 `2)) is Element of the carrier of D
[(dom (id (dd9 `1))),(dom (id (dd9 `2)))] is V15() Element of [: the carrier of C, the carrier of D:]
{(dom (id (dd9 `1))),(dom (id (dd9 `2)))} is non empty set
{(dom (id (dd9 `1)))} is non empty set
{{(dom (id (dd9 `1))),(dom (id (dd9 `2)))},{(dom (id (dd9 `1)))}} is non empty set
[(dd9 `1),(dom (id (dd9 `2)))] is V15() Element of [: the carrier of C, the carrier of D:]
{(dd9 `1),(dom (id (dd9 `2)))} is non empty set
{{(dd9 `1),(dom (id (dd9 `2)))},{(dd9 `1)}} is non empty set
f2 is Morphism of d9,d9
g2 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
Hom (d9,g2) is Element of bool the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
bool the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is non empty set
{ b<sub>1</sub> where b<sub>1</sub> is Element of the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) : ( dom b<sub>1</sub> = d9 & cod b<sub>1</sub> = g2 ) } is set
Hom (g2,d9) is Element of bool the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
{ b<sub>1</sub> where b<sub>1</sub> is Element of the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) : ( dom b<sub>1</sub> = g2 & cod b<sub>1</sub> = d9 ) } is set
L1 is Morphism of d9,g2
L1 (*) f2 is Element of the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
cod f2 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
the Target of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) . f2 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
dom L1 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
the Source of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) . L1 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
[L1,f2] is V15() Element of [: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):]
{L1,f2} is non empty set
{L1} is non empty set
{{L1,f2},{L1}} is non empty set
L2 is Element of [: the carrier' of C, the carrier' of D:]
L2 `1 is Element of the carrier' of C
dom (L2 `1) is Element of the carrier of C
the Source of C . (L2 `1) is Element of the carrier of C
[(id (dd9 `1)),(id (dd9 `2))] `1 is Element of the carrier' of C
cod ([(id (dd9 `1)),(id (dd9 `2))] `1) is Element of the carrier of C
the Target of C . ([(id (dd9 `1)),(id (dd9 `2))] `1) is Element of the carrier of C
the Comp of C . ((L2 `1),(id (dd9 `1))) is set
[(L2 `1),(id (dd9 `1))] is V15() set
{(L2 `1),(id (dd9 `1))} is non empty set
{(L2 `1)} is non empty set
{{(L2 `1),(id (dd9 `1))},{(L2 `1)}} is non empty set
the Comp of C . [(L2 `1),(id (dd9 `1))] is set
(L2 `1) (*) (id (dd9 `1)) is Element of the carrier' of C
L2 `2 is Element of the carrier' of D
dom (L2 `2) is Element of the carrier of D
the Source of D . (L2 `2) is Element of the carrier of D
[(id (dd9 `1)),(id (dd9 `2))] `2 is Element of the carrier' of D
cod ([(id (dd9 `1)),(id (dd9 `2))] `2) is Element of the carrier of D
the Target of D . ([(id (dd9 `1)),(id (dd9 `2))] `2) is Element of the carrier of D
the Comp of D . ((L2 `2),(id (dd9 `2))) is set
[(L2 `2),(id (dd9 `2))] is V15() set
{(L2 `2),(id (dd9 `2))} is non empty set
{(L2 `2)} is non empty set
{{(L2 `2),(id (dd9 `2))},{(L2 `2)}} is non empty set
the Comp of D . [(L2 `2),(id (dd9 `2))] is set
(L2 `2) (*) (id (dd9 `2)) is Element of the carrier' of D
( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) . (L1,f2) is set
[L1,f2] is V15() set
( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) . [L1,f2] is set
the Comp of C . ((L2 `1),([(id (dd9 `1)),(id (dd9 `2))] `1)) is set
[(L2 `1),([(id (dd9 `1)),(id (dd9 `2))] `1)] is V15() set
{(L2 `1),([(id (dd9 `1)),(id (dd9 `2))] `1)} is non empty set
{{(L2 `1),([(id (dd9 `1)),(id (dd9 `2))] `1)},{(L2 `1)}} is non empty set
the Comp of C . [(L2 `1),([(id (dd9 `1)),(id (dd9 `2))] `1)] is set
the Comp of D . ((L2 `2),([(id (dd9 `1)),(id (dd9 `2))] `2)) is set
[(L2 `2),([(id (dd9 `1)),(id (dd9 `2))] `2)] is V15() set
{(L2 `2),([(id (dd9 `1)),(id (dd9 `2))] `2)} is non empty set
{{(L2 `2),([(id (dd9 `1)),(id (dd9 `2))] `2)},{(L2 `2)}} is non empty set
the Comp of D . [(L2 `2),([(id (dd9 `1)),(id (dd9 `2))] `2)] is set
[( the Comp of C . ((L2 `1),([(id (dd9 `1)),(id (dd9 `2))] `1))),( the Comp of D . ((L2 `2),([(id (dd9 `1)),(id (dd9 `2))] `2)))] is V15() set
{( the Comp of C . ((L2 `1),([(id (dd9 `1)),(id (dd9 `2))] `1))),( the Comp of D . ((L2 `2),([(id (dd9 `1)),(id (dd9 `2))] `2)))} is non empty set
{( the Comp of C . ((L2 `1),([(id (dd9 `1)),(id (dd9 `2))] `1)))} is non empty set
{{( the Comp of C . ((L2 `1),([(id (dd9 `1)),(id (dd9 `2))] `1))),( the Comp of D . ((L2 `2),([(id (dd9 `1)),(id (dd9 `2))] `2)))},{( the Comp of C . ((L2 `1),([(id (dd9 `1)),(id (dd9 `2))] `1)))}} is non empty set
L1 is Morphism of g2,d9
f2 (*) L1 is Element of the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
dom f2 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
the Source of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) . f2 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
cod L1 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
the Target of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) . L1 is Element of the carrier of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #)
[f2,L1] is V15() Element of [: the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #), the carrier' of CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #):]
{f2,L1} is non empty set
{f2} is non empty set
{{f2,L1},{f2}} is non empty set
L2 is Element of [: the carrier' of C, the carrier' of D:]
L2 `1 is Element of the carrier' of C
cod (L2 `1) is Element of the carrier of C
the Target of C . (L2 `1) is Element of the carrier of C
[(id (dd9 `1)),(id (dd9 `2))] `1 is Element of the carrier' of C
dom ([(id (dd9 `1)),(id (dd9 `2))] `1) is Element of the carrier of C
the Source of C . ([(id (dd9 `1)),(id (dd9 `2))] `1) is Element of the carrier of C
the Comp of C . ((id (dd9 `1)),(L2 `1)) is set
[(id (dd9 `1)),(L2 `1)] is V15() set
{(id (dd9 `1)),(L2 `1)} is non empty set
{{(id (dd9 `1)),(L2 `1)},{(id (dd9 `1))}} is non empty set
the Comp of C . [(id (dd9 `1)),(L2 `1)] is set
(id (dd9 `1)) (*) (L2 `1) is Element of the carrier' of C
L2 `2 is Element of the carrier' of D
cod (L2 `2) is Element of the carrier of D
the Target of D . (L2 `2) is Element of the carrier of D
[(id (dd9 `1)),(id (dd9 `2))] `2 is Element of the carrier' of D
dom ([(id (dd9 `1)),(id (dd9 `2))] `2) is Element of the carrier of D
the Source of D . ([(id (dd9 `1)),(id (dd9 `2))] `2) is Element of the carrier of D
the Comp of D . ((id (dd9 `2)),(L2 `2)) is set
[(id (dd9 `2)),(L2 `2)] is V15() set
{(id (dd9 `2)),(L2 `2)} is non empty set
{(id (dd9 `2))} is non empty set
{{(id (dd9 `2)),(L2 `2)},{(id (dd9 `2))}} is non empty set
the Comp of D . [(id (dd9 `2)),(L2 `2)] is set
(id (dd9 `2)) (*) (L2 `2) is Element of the carrier' of D
( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) . (f2,L1) is set
[f2,L1] is V15() set
( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) . [f2,L1] is set
the Comp of C . (([(id (dd9 `1)),(id (dd9 `2))] `1),(L2 `1)) is set
[([(id (dd9 `1)),(id (dd9 `2))] `1),(L2 `1)] is V15() set
{([(id (dd9 `1)),(id (dd9 `2))] `1),(L2 `1)} is non empty set
{([(id (dd9 `1)),(id (dd9 `2))] `1)} is non empty set
{{([(id (dd9 `1)),(id (dd9 `2))] `1),(L2 `1)},{([(id (dd9 `1)),(id (dd9 `2))] `1)}} is non empty set
the Comp of C . [([(id (dd9 `1)),(id (dd9 `2))] `1),(L2 `1)] is set
the Comp of D . (([(id (dd9 `1)),(id (dd9 `2))] `2),(L2 `2)) is set
[([(id (dd9 `1)),(id (dd9 `2))] `2),(L2 `2)] is V15() set
{([(id (dd9 `1)),(id (dd9 `2))] `2),(L2 `2)} is non empty set
{([(id (dd9 `1)),(id (dd9 `2))] `2)} is non empty set
{{([(id (dd9 `1)),(id (dd9 `2))] `2),(L2 `2)},{([(id (dd9 `1)),(id (dd9 `2))] `2)}} is non empty set
the Comp of D . [([(id (dd9 `1)),(id (dd9 `2))] `2),(L2 `2)] is set
[( the Comp of C . (([(id (dd9 `1)),(id (dd9 `2))] `1),(L2 `1))),( the Comp of D . (([(id (dd9 `1)),(id (dd9 `2))] `2),(L2 `2)))] is V15() set
{( the Comp of C . (([(id (dd9 `1)),(id (dd9 `2))] `1),(L2 `1))),( the Comp of D . (([(id (dd9 `1)),(id (dd9 `2))] `2),(L2 `2)))} is non empty set
{( the Comp of C . (([(id (dd9 `1)),(id (dd9 `2))] `1),(L2 `1)))} is non empty set
{{( the Comp of C . (([(id (dd9 `1)),(id (dd9 `2))] `1),(L2 `1))),( the Comp of D . (([(id (dd9 `1)),(id (dd9 `2))] `2),(L2 `2)))},{( the Comp of C . (([(id (dd9 `1)),(id (dd9 `2))] `1),(L2 `1)))}} is non empty set
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
D is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
(C,D) is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of C is non empty set
the carrier of D is non empty set
[: the carrier of C, the carrier of D:] is Relation-like non empty set
the carrier' of C is non empty set
the carrier' of D is non empty set
[: the carrier' of C, the carrier' of D:] is Relation-like non empty set
the Source of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
[: the carrier' of C, the carrier of C:] is Relation-like non empty set
bool [: the carrier' of C, the carrier of C:] is non empty set
the Source of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
[: the carrier' of D, the carrier of D:] is Relation-like non empty set
bool [: the carrier' of D, the carrier of D:] is non empty set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is non empty set
the Target of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
the Target of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
the Comp of C is Relation-like [: the carrier' of C, the carrier' of C:] -defined the carrier' of C -valued Function-like Element of bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:]
[: the carrier' of C, the carrier' of C:] is Relation-like non empty set
[:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is non empty set
the Comp of D is Relation-like [: the carrier' of D, the carrier' of D:] -defined the carrier' of D -valued Function-like Element of bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:]
[: the carrier' of D, the carrier' of D:] is Relation-like non empty set
[:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is Relation-like non empty set
bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is non empty set
( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) is Relation-like [:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] -defined [: the carrier' of C, the carrier' of D:] -valued Function-like Element of bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
[:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is non empty set
CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is non empty non void V55() strict CatStr
the carrier of (C,D) is non empty set
C9 is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
D9 is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
(C9,D9) is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of C9 is non empty set
the carrier of D9 is non empty set
[: the carrier of C9, the carrier of D9:] is Relation-like non empty set
the carrier' of C9 is non empty set
the carrier' of D9 is non empty set
[: the carrier' of C9, the carrier' of D9:] is Relation-like non empty set
the Source of C9 is Relation-like the carrier' of C9 -defined the carrier of C9 -valued Function-like quasi_total Element of bool [: the carrier' of C9, the carrier of C9:]
[: the carrier' of C9, the carrier of C9:] is Relation-like non empty set
bool [: the carrier' of C9, the carrier of C9:] is non empty set
the Source of D9 is Relation-like the carrier' of D9 -defined the carrier of D9 -valued Function-like quasi_total Element of bool [: the carrier' of D9, the carrier of D9:]
[: the carrier' of D9, the carrier of D9:] is Relation-like non empty set
bool [: the carrier' of D9, the carrier of D9:] is non empty set
( the carrier' of C9, the carrier' of D9, the carrier of C9, the carrier of D9, the Source of C9, the Source of D9) is Relation-like [: the carrier' of C9, the carrier' of D9:] -defined [: the carrier of C9, the carrier of D9:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C9, the carrier' of D9:],[: the carrier of C9, the carrier of D9:]:]
[:[: the carrier' of C9, the carrier' of D9:],[: the carrier of C9, the carrier of D9:]:] is Relation-like non empty set
bool [:[: the carrier' of C9, the carrier' of D9:],[: the carrier of C9, the carrier of D9:]:] is non empty set
the Target of C9 is Relation-like the carrier' of C9 -defined the carrier of C9 -valued Function-like quasi_total Element of bool [: the carrier' of C9, the carrier of C9:]
the Target of D9 is Relation-like the carrier' of D9 -defined the carrier of D9 -valued Function-like quasi_total Element of bool [: the carrier' of D9, the carrier of D9:]
( the carrier' of C9, the carrier' of D9, the carrier of C9, the carrier of D9, the Target of C9, the Target of D9) is Relation-like [: the carrier' of C9, the carrier' of D9:] -defined [: the carrier of C9, the carrier of D9:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C9, the carrier' of D9:],[: the carrier of C9, the carrier of D9:]:]
the Comp of C9 is Relation-like [: the carrier' of C9, the carrier' of C9:] -defined the carrier' of C9 -valued Function-like Element of bool [:[: the carrier' of C9, the carrier' of C9:], the carrier' of C9:]
[: the carrier' of C9, the carrier' of C9:] is Relation-like non empty set
[:[: the carrier' of C9, the carrier' of C9:], the carrier' of C9:] is Relation-like non empty set
bool [:[: the carrier' of C9, the carrier' of C9:], the carrier' of C9:] is non empty set
the Comp of D9 is Relation-like [: the carrier' of D9, the carrier' of D9:] -defined the carrier' of D9 -valued Function-like Element of bool [:[: the carrier' of D9, the carrier' of D9:], the carrier' of D9:]
[: the carrier' of D9, the carrier' of D9:] is Relation-like non empty set
[:[: the carrier' of D9, the carrier' of D9:], the carrier' of D9:] is Relation-like non empty set
bool [:[: the carrier' of D9, the carrier' of D9:], the carrier' of D9:] is non empty set
( the carrier' of C9, the carrier' of D9, the Comp of C9, the Comp of D9) is Relation-like [:[: the carrier' of C9, the carrier' of D9:],[: the carrier' of C9, the carrier' of D9:]:] -defined [: the carrier' of C9, the carrier' of D9:] -valued Function-like Element of bool [:[:[: the carrier' of C9, the carrier' of D9:],[: the carrier' of C9, the carrier' of D9:]:],[: the carrier' of C9, the carrier' of D9:]:]
[:[: the carrier' of C9, the carrier' of D9:],[: the carrier' of C9, the carrier' of D9:]:] is Relation-like non empty set
[:[:[: the carrier' of C9, the carrier' of D9:],[: the carrier' of C9, the carrier' of D9:]:],[: the carrier' of C9, the carrier' of D9:]:] is Relation-like non empty set
bool [:[:[: the carrier' of C9, the carrier' of D9:],[: the carrier' of C9, the carrier' of D9:]:],[: the carrier' of C9, the carrier' of D9:]:] is non empty set
CatStr(# [: the carrier of C9, the carrier of D9:],[: the carrier' of C9, the carrier' of D9:],( the carrier' of C9, the carrier' of D9, the carrier of C9, the carrier of D9, the Source of C9, the Source of D9),( the carrier' of C9, the carrier' of D9, the carrier of C9, the carrier of D9, the Target of C9, the Target of D9),( the carrier' of C9, the carrier' of D9, the Comp of C9, the Comp of D9) #) is non empty non void V55() strict CatStr
the carrier' of (C9,D9) is non empty set
T is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
T9 is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
(T,T9) is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of T is non empty set
the carrier of T9 is non empty set
[: the carrier of T, the carrier of T9:] is Relation-like non empty set
the carrier' of T is non empty set
the carrier' of T9 is non empty set
[: the carrier' of T, the carrier' of T9:] is Relation-like non empty set
the Source of T is Relation-like the carrier' of T -defined the carrier of T -valued Function-like quasi_total Element of bool [: the carrier' of T, the carrier of T:]
[: the carrier' of T, the carrier of T:] is Relation-like non empty set
bool [: the carrier' of T, the carrier of T:] is non empty set
the Source of T9 is Relation-like the carrier' of T9 -defined the carrier of T9 -valued Function-like quasi_total Element of bool [: the carrier' of T9, the carrier of T9:]
[: the carrier' of T9, the carrier of T9:] is Relation-like non empty set
bool [: the carrier' of T9, the carrier of T9:] is non empty set
( the carrier' of T, the carrier' of T9, the carrier of T, the carrier of T9, the Source of T, the Source of T9) is Relation-like [: the carrier' of T, the carrier' of T9:] -defined [: the carrier of T, the carrier of T9:] -valued Function-like quasi_total Element of bool [:[: the carrier' of T, the carrier' of T9:],[: the carrier of T, the carrier of T9:]:]
[:[: the carrier' of T, the carrier' of T9:],[: the carrier of T, the carrier of T9:]:] is Relation-like non empty set
bool [:[: the carrier' of T, the carrier' of T9:],[: the carrier of T, the carrier of T9:]:] is non empty set
the Target of T is Relation-like the carrier' of T -defined the carrier of T -valued Function-like quasi_total Element of bool [: the carrier' of T, the carrier of T:]
the Target of T9 is Relation-like the carrier' of T9 -defined the carrier of T9 -valued Function-like quasi_total Element of bool [: the carrier' of T9, the carrier of T9:]
( the carrier' of T, the carrier' of T9, the carrier of T, the carrier of T9, the Target of T, the Target of T9) is Relation-like [: the carrier' of T, the carrier' of T9:] -defined [: the carrier of T, the carrier of T9:] -valued Function-like quasi_total Element of bool [:[: the carrier' of T, the carrier' of T9:],[: the carrier of T, the carrier of T9:]:]
the Comp of T is Relation-like [: the carrier' of T, the carrier' of T:] -defined the carrier' of T -valued Function-like Element of bool [:[: the carrier' of T, the carrier' of T:], the carrier' of T:]
[: the carrier' of T, the carrier' of T:] is Relation-like non empty set
[:[: the carrier' of T, the carrier' of T:], the carrier' of T:] is Relation-like non empty set
bool [:[: the carrier' of T, the carrier' of T:], the carrier' of T:] is non empty set
the Comp of T9 is Relation-like [: the carrier' of T9, the carrier' of T9:] -defined the carrier' of T9 -valued Function-like Element of bool [:[: the carrier' of T9, the carrier' of T9:], the carrier' of T9:]
[: the carrier' of T9, the carrier' of T9:] is Relation-like non empty set
[:[: the carrier' of T9, the carrier' of T9:], the carrier' of T9:] is Relation-like non empty set
bool [:[: the carrier' of T9, the carrier' of T9:], the carrier' of T9:] is non empty set
( the carrier' of T, the carrier' of T9, the Comp of T, the Comp of T9) is Relation-like [:[: the carrier' of T, the carrier' of T9:],[: the carrier' of T, the carrier' of T9:]:] -defined [: the carrier' of T, the carrier' of T9:] -valued Function-like Element of bool [:[:[: the carrier' of T, the carrier' of T9:],[: the carrier' of T, the carrier' of T9:]:],[: the carrier' of T, the carrier' of T9:]:]
[:[: the carrier' of T, the carrier' of T9:],[: the carrier' of T, the carrier' of T9:]:] is Relation-like non empty set
[:[:[: the carrier' of T, the carrier' of T9:],[: the carrier' of T, the carrier' of T9:]:],[: the carrier' of T, the carrier' of T9:]:] is Relation-like non empty set
bool [:[:[: the carrier' of T, the carrier' of T9:],[: the carrier' of T, the carrier' of T9:]:],[: the carrier' of T, the carrier' of T9:]:] is non empty set
CatStr(# [: the carrier of T, the carrier of T9:],[: the carrier' of T, the carrier' of T9:],( the carrier' of T, the carrier' of T9, the carrier of T, the carrier of T9, the Source of T, the Source of T9),( the carrier' of T, the carrier' of T9, the carrier of T, the carrier of T9, the Target of T, the Target of T9),( the carrier' of T, the carrier' of T9, the Comp of T, the Comp of T9) #) is non empty non void V55() strict CatStr
the carrier' of (T,T9) is non empty set
the carrier of (T,T9) is non empty set
the Source of (T,T9) is Relation-like the carrier' of (T,T9) -defined the carrier of (T,T9) -valued Function-like quasi_total Element of bool [: the carrier' of (T,T9), the carrier of (T,T9):]
[: the carrier' of (T,T9), the carrier of (T,T9):] is Relation-like non empty set
bool [: the carrier' of (T,T9), the carrier of (T,T9):] is non empty set
c is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
c9 is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
(c,c9) is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of c is non empty set
the carrier of c9 is non empty set
[: the carrier of c, the carrier of c9:] is Relation-like non empty set
the carrier' of c is non empty set
the carrier' of c9 is non empty set
[: the carrier' of c, the carrier' of c9:] is Relation-like non empty set
the Source of c is Relation-like the carrier' of c -defined the carrier of c -valued Function-like quasi_total Element of bool [: the carrier' of c, the carrier of c:]
[: the carrier' of c, the carrier of c:] is Relation-like non empty set
bool [: the carrier' of c, the carrier of c:] is non empty set
the Source of c9 is Relation-like the carrier' of c9 -defined the carrier of c9 -valued Function-like quasi_total Element of bool [: the carrier' of c9, the carrier of c9:]
[: the carrier' of c9, the carrier of c9:] is Relation-like non empty set
bool [: the carrier' of c9, the carrier of c9:] is non empty set
( the carrier' of c, the carrier' of c9, the carrier of c, the carrier of c9, the Source of c, the Source of c9) is Relation-like [: the carrier' of c, the carrier' of c9:] -defined [: the carrier of c, the carrier of c9:] -valued Function-like quasi_total Element of bool [:[: the carrier' of c, the carrier' of c9:],[: the carrier of c, the carrier of c9:]:]
[:[: the carrier' of c, the carrier' of c9:],[: the carrier of c, the carrier of c9:]:] is Relation-like non empty set
bool [:[: the carrier' of c, the carrier' of c9:],[: the carrier of c, the carrier of c9:]:] is non empty set
the Target of c is Relation-like the carrier' of c -defined the carrier of c -valued Function-like quasi_total Element of bool [: the carrier' of c, the carrier of c:]
the Target of c9 is Relation-like the carrier' of c9 -defined the carrier of c9 -valued Function-like quasi_total Element of bool [: the carrier' of c9, the carrier of c9:]
( the carrier' of c, the carrier' of c9, the carrier of c, the carrier of c9, the Target of c, the Target of c9) is Relation-like [: the carrier' of c, the carrier' of c9:] -defined [: the carrier of c, the carrier of c9:] -valued Function-like quasi_total Element of bool [:[: the carrier' of c, the carrier' of c9:],[: the carrier of c, the carrier of c9:]:]
the Comp of c is Relation-like [: the carrier' of c, the carrier' of c:] -defined the carrier' of c -valued Function-like Element of bool [:[: the carrier' of c, the carrier' of c:], the carrier' of c:]
[: the carrier' of c, the carrier' of c:] is Relation-like non empty set
[:[: the carrier' of c, the carrier' of c:], the carrier' of c:] is Relation-like non empty set
bool [:[: the carrier' of c, the carrier' of c:], the carrier' of c:] is non empty set
the Comp of c9 is Relation-like [: the carrier' of c9, the carrier' of c9:] -defined the carrier' of c9 -valued Function-like Element of bool [:[: the carrier' of c9, the carrier' of c9:], the carrier' of c9:]
[: the carrier' of c9, the carrier' of c9:] is Relation-like non empty set
[:[: the carrier' of c9, the carrier' of c9:], the carrier' of c9:] is Relation-like non empty set
bool [:[: the carrier' of c9, the carrier' of c9:], the carrier' of c9:] is non empty set
( the carrier' of c, the carrier' of c9, the Comp of c, the Comp of c9) is Relation-like [:[: the carrier' of c, the carrier' of c9:],[: the carrier' of c, the carrier' of c9:]:] -defined [: the carrier' of c, the carrier' of c9:] -valued Function-like Element of bool [:[:[: the carrier' of c, the carrier' of c9:],[: the carrier' of c, the carrier' of c9:]:],[: the carrier' of c, the carrier' of c9:]:]
[:[: the carrier' of c, the carrier' of c9:],[: the carrier' of c, the carrier' of c9:]:] is Relation-like non empty set
[:[:[: the carrier' of c, the carrier' of c9:],[: the carrier' of c, the carrier' of c9:]:],[: the carrier' of c, the carrier' of c9:]:] is Relation-like non empty set
bool [:[:[: the carrier' of c, the carrier' of c9:],[: the carrier' of c, the carrier' of c9:]:],[: the carrier' of c, the carrier' of c9:]:] is non empty set
CatStr(# [: the carrier of c, the carrier of c9:],[: the carrier' of c, the carrier' of c9:],( the carrier' of c, the carrier' of c9, the carrier of c, the carrier of c9, the Source of c, the Source of c9),( the carrier' of c, the carrier' of c9, the carrier of c, the carrier of c9, the Target of c, the Target of c9),( the carrier' of c, the carrier' of c9, the Comp of c, the Comp of c9) #) is non empty non void V55() strict CatStr
the carrier' of (c,c9) is non empty set
the carrier of (c,c9) is non empty set
the Target of (c,c9) is Relation-like the carrier' of (c,c9) -defined the carrier of (c,c9) -valued Function-like quasi_total Element of bool [: the carrier' of (c,c9), the carrier of (c,c9):]
[: the carrier' of (c,c9), the carrier of (c,c9):] is Relation-like non empty set
bool [: the carrier' of (c,c9), the carrier of (c,c9):] is non empty set
d9 is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
dd9 is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
(d9,dd9) is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of d9 is non empty set
the carrier of dd9 is non empty set
[: the carrier of d9, the carrier of dd9:] is Relation-like non empty set
the carrier' of d9 is non empty set
the carrier' of dd9 is non empty set
[: the carrier' of d9, the carrier' of dd9:] is Relation-like non empty set
the Source of d9 is Relation-like the carrier' of d9 -defined the carrier of d9 -valued Function-like quasi_total Element of bool [: the carrier' of d9, the carrier of d9:]
[: the carrier' of d9, the carrier of d9:] is Relation-like non empty set
bool [: the carrier' of d9, the carrier of d9:] is non empty set
the Source of dd9 is Relation-like the carrier' of dd9 -defined the carrier of dd9 -valued Function-like quasi_total Element of bool [: the carrier' of dd9, the carrier of dd9:]
[: the carrier' of dd9, the carrier of dd9:] is Relation-like non empty set
bool [: the carrier' of dd9, the carrier of dd9:] is non empty set
( the carrier' of d9, the carrier' of dd9, the carrier of d9, the carrier of dd9, the Source of d9, the Source of dd9) is Relation-like [: the carrier' of d9, the carrier' of dd9:] -defined [: the carrier of d9, the carrier of dd9:] -valued Function-like quasi_total Element of bool [:[: the carrier' of d9, the carrier' of dd9:],[: the carrier of d9, the carrier of dd9:]:]
[:[: the carrier' of d9, the carrier' of dd9:],[: the carrier of d9, the carrier of dd9:]:] is Relation-like non empty set
bool [:[: the carrier' of d9, the carrier' of dd9:],[: the carrier of d9, the carrier of dd9:]:] is non empty set
the Target of d9 is Relation-like the carrier' of d9 -defined the carrier of d9 -valued Function-like quasi_total Element of bool [: the carrier' of d9, the carrier of d9:]
the Target of dd9 is Relation-like the carrier' of dd9 -defined the carrier of dd9 -valued Function-like quasi_total Element of bool [: the carrier' of dd9, the carrier of dd9:]
( the carrier' of d9, the carrier' of dd9, the carrier of d9, the carrier of dd9, the Target of d9, the Target of dd9) is Relation-like [: the carrier' of d9, the carrier' of dd9:] -defined [: the carrier of d9, the carrier of dd9:] -valued Function-like quasi_total Element of bool [:[: the carrier' of d9, the carrier' of dd9:],[: the carrier of d9, the carrier of dd9:]:]
the Comp of d9 is Relation-like [: the carrier' of d9, the carrier' of d9:] -defined the carrier' of d9 -valued Function-like Element of bool [:[: the carrier' of d9, the carrier' of d9:], the carrier' of d9:]
[: the carrier' of d9, the carrier' of d9:] is Relation-like non empty set
[:[: the carrier' of d9, the carrier' of d9:], the carrier' of d9:] is Relation-like non empty set
bool [:[: the carrier' of d9, the carrier' of d9:], the carrier' of d9:] is non empty set
the Comp of dd9 is Relation-like [: the carrier' of dd9, the carrier' of dd9:] -defined the carrier' of dd9 -valued Function-like Element of bool [:[: the carrier' of dd9, the carrier' of dd9:], the carrier' of dd9:]
[: the carrier' of dd9, the carrier' of dd9:] is Relation-like non empty set
[:[: the carrier' of dd9, the carrier' of dd9:], the carrier' of dd9:] is Relation-like non empty set
bool [:[: the carrier' of dd9, the carrier' of dd9:], the carrier' of dd9:] is non empty set
( the carrier' of d9, the carrier' of dd9, the Comp of d9, the Comp of dd9) is Relation-like [:[: the carrier' of d9, the carrier' of dd9:],[: the carrier' of d9, the carrier' of dd9:]:] -defined [: the carrier' of d9, the carrier' of dd9:] -valued Function-like Element of bool [:[:[: the carrier' of d9, the carrier' of dd9:],[: the carrier' of d9, the carrier' of dd9:]:],[: the carrier' of d9, the carrier' of dd9:]:]
[:[: the carrier' of d9, the carrier' of dd9:],[: the carrier' of d9, the carrier' of dd9:]:] is Relation-like non empty set
[:[:[: the carrier' of d9, the carrier' of dd9:],[: the carrier' of d9, the carrier' of dd9:]:],[: the carrier' of d9, the carrier' of dd9:]:] is Relation-like non empty set
bool [:[:[: the carrier' of d9, the carrier' of dd9:],[: the carrier' of d9, the carrier' of dd9:]:],[: the carrier' of d9, the carrier' of dd9:]:] is non empty set
CatStr(# [: the carrier of d9, the carrier of dd9:],[: the carrier' of d9, the carrier' of dd9:],( the carrier' of d9, the carrier' of dd9, the carrier of d9, the carrier of dd9, the Source of d9, the Source of dd9),( the carrier' of d9, the carrier' of dd9, the carrier of d9, the carrier of dd9, the Target of d9, the Target of dd9),( the carrier' of d9, the carrier' of dd9, the Comp of d9, the Comp of dd9) #) is non empty non void V55() strict CatStr
the Comp of (d9,dd9) is Relation-like [: the carrier' of (d9,dd9), the carrier' of (d9,dd9):] -defined the carrier' of (d9,dd9) -valued Function-like Element of bool [:[: the carrier' of (d9,dd9), the carrier' of (d9,dd9):], the carrier' of (d9,dd9):]
the carrier' of (d9,dd9) is non empty set
[: the carrier' of (d9,dd9), the carrier' of (d9,dd9):] is Relation-like non empty set
[:[: the carrier' of (d9,dd9), the carrier' of (d9,dd9):], the carrier' of (d9,dd9):] is Relation-like non empty set
bool [:[: the carrier' of (d9,dd9), the carrier' of (d9,dd9):], the carrier' of (d9,dd9):] is non empty set
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of C is non empty set
D is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of D is non empty set
C9 is Element of the carrier of C
D9 is Element of the carrier of D
[C9,D9] is V15() set
{C9,D9} is non empty set
{C9} is non empty set
{{C9,D9},{C9}} is non empty set
(C,D) is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
[: the carrier of C, the carrier of D:] is Relation-like non empty set
the carrier' of C is non empty set
the carrier' of D is non empty set
[: the carrier' of C, the carrier' of D:] is Relation-like non empty set
the Source of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
[: the carrier' of C, the carrier of C:] is Relation-like non empty set
bool [: the carrier' of C, the carrier of C:] is non empty set
the Source of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
[: the carrier' of D, the carrier of D:] is Relation-like non empty set
bool [: the carrier' of D, the carrier of D:] is non empty set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is non empty set
the Target of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
the Target of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
the Comp of C is Relation-like [: the carrier' of C, the carrier' of C:] -defined the carrier' of C -valued Function-like Element of bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:]
[: the carrier' of C, the carrier' of C:] is Relation-like non empty set
[:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is non empty set
the Comp of D is Relation-like [: the carrier' of D, the carrier' of D:] -defined the carrier' of D -valued Function-like Element of bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:]
[: the carrier' of D, the carrier' of D:] is Relation-like non empty set
[:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is Relation-like non empty set
bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is non empty set
( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) is Relation-like [:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] -defined [: the carrier' of C, the carrier' of D:] -valued Function-like Element of bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
[:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is non empty set
CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is non empty non void V55() strict CatStr
the carrier of (C,D) is non empty set
[C9,D9] is V15() Element of [: the carrier of C, the carrier of D:]
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
D is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
(C,D) is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of C is non empty set
the carrier of D is non empty set
[: the carrier of C, the carrier of D:] is Relation-like non empty set
the carrier' of C is non empty set
the carrier' of D is non empty set
[: the carrier' of C, the carrier' of D:] is Relation-like non empty set
the Source of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
[: the carrier' of C, the carrier of C:] is Relation-like non empty set
bool [: the carrier' of C, the carrier of C:] is non empty set
the Source of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
[: the carrier' of D, the carrier of D:] is Relation-like non empty set
bool [: the carrier' of D, the carrier of D:] is non empty set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is non empty set
the Target of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
the Target of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
the Comp of C is Relation-like [: the carrier' of C, the carrier' of C:] -defined the carrier' of C -valued Function-like Element of bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:]
[: the carrier' of C, the carrier' of C:] is Relation-like non empty set
[:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is non empty set
the Comp of D is Relation-like [: the carrier' of D, the carrier' of D:] -defined the carrier' of D -valued Function-like Element of bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:]
[: the carrier' of D, the carrier' of D:] is Relation-like non empty set
[:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is Relation-like non empty set
bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is non empty set
( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) is Relation-like [:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] -defined [: the carrier' of C, the carrier' of D:] -valued Function-like Element of bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
[:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is non empty set
CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is non empty non void V55() strict CatStr
the carrier of (C,D) is non empty set
C9 is Element of the carrier of (C,D)
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of C is non empty set
D is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of D is non empty set
C9 is Element of the carrier' of C
D9 is Element of the carrier' of D
[C9,D9] is V15() set
{C9,D9} is non empty set
{C9} is non empty set
{{C9,D9},{C9}} is non empty set
(C,D) is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of C is non empty set
the carrier of D is non empty set
[: the carrier of C, the carrier of D:] is Relation-like non empty set
[: the carrier' of C, the carrier' of D:] is Relation-like non empty set
the Source of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
[: the carrier' of C, the carrier of C:] is Relation-like non empty set
bool [: the carrier' of C, the carrier of C:] is non empty set
the Source of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
[: the carrier' of D, the carrier of D:] is Relation-like non empty set
bool [: the carrier' of D, the carrier of D:] is non empty set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is non empty set
the Target of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
the Target of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
the Comp of C is Relation-like [: the carrier' of C, the carrier' of C:] -defined the carrier' of C -valued Function-like Element of bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:]
[: the carrier' of C, the carrier' of C:] is Relation-like non empty set
[:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is non empty set
the Comp of D is Relation-like [: the carrier' of D, the carrier' of D:] -defined the carrier' of D -valued Function-like Element of bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:]
[: the carrier' of D, the carrier' of D:] is Relation-like non empty set
[:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is Relation-like non empty set
bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is non empty set
( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) is Relation-like [:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] -defined [: the carrier' of C, the carrier' of D:] -valued Function-like Element of bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
[:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is non empty set
CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is non empty non void V55() strict CatStr
the carrier' of (C,D) is non empty set
[C9,D9] is V15() Element of [: the carrier' of C, the carrier' of D:]
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
D is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
(C,D) is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of C is non empty set
the carrier of D is non empty set
[: the carrier of C, the carrier of D:] is Relation-like non empty set
the carrier' of C is non empty set
the carrier' of D is non empty set
[: the carrier' of C, the carrier' of D:] is Relation-like non empty set
the Source of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
[: the carrier' of C, the carrier of C:] is Relation-like non empty set
bool [: the carrier' of C, the carrier of C:] is non empty set
the Source of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
[: the carrier' of D, the carrier of D:] is Relation-like non empty set
bool [: the carrier' of D, the carrier of D:] is non empty set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is non empty set
the Target of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
the Target of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
the Comp of C is Relation-like [: the carrier' of C, the carrier' of C:] -defined the carrier' of C -valued Function-like Element of bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:]
[: the carrier' of C, the carrier' of C:] is Relation-like non empty set
[:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is non empty set
the Comp of D is Relation-like [: the carrier' of D, the carrier' of D:] -defined the carrier' of D -valued Function-like Element of bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:]
[: the carrier' of D, the carrier' of D:] is Relation-like non empty set
[:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is Relation-like non empty set
bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is non empty set
( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) is Relation-like [:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] -defined [: the carrier' of C, the carrier' of D:] -valued Function-like Element of bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
[:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is non empty set
CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is non empty non void V55() strict CatStr
the carrier' of (C,D) is non empty set
C9 is Element of the carrier' of (C,D)
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of C is non empty set
D is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of D is non empty set
(C,D) is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of C is non empty set
the carrier of D is non empty set
[: the carrier of C, the carrier of D:] is Relation-like non empty set
[: the carrier' of C, the carrier' of D:] is Relation-like non empty set
the Source of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
[: the carrier' of C, the carrier of C:] is Relation-like non empty set
bool [: the carrier' of C, the carrier of C:] is non empty set
the Source of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
[: the carrier' of D, the carrier of D:] is Relation-like non empty set
bool [: the carrier' of D, the carrier of D:] is non empty set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is non empty set
the Target of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
the Target of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
the Comp of C is Relation-like [: the carrier' of C, the carrier' of C:] -defined the carrier' of C -valued Function-like Element of bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:]
[: the carrier' of C, the carrier' of C:] is Relation-like non empty set
[:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is non empty set
the Comp of D is Relation-like [: the carrier' of D, the carrier' of D:] -defined the carrier' of D -valued Function-like Element of bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:]
[: the carrier' of D, the carrier' of D:] is Relation-like non empty set
[:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is Relation-like non empty set
bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is non empty set
( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) is Relation-like [:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] -defined [: the carrier' of C, the carrier' of D:] -valued Function-like Element of bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
[:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is non empty set
CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is non empty non void V55() strict CatStr
C9 is Element of the carrier' of C
dom C9 is Element of the carrier of C
the Source of C . C9 is Element of the carrier of C
cod C9 is Element of the carrier of C
the Target of C . C9 is Element of the carrier of C
D9 is Element of the carrier' of D
(C,D,C9,D9) is V15() Element of the carrier' of (C,D)
the carrier' of (C,D) is non empty set
{C9,D9} is non empty set
{C9} is non empty set
{{C9,D9},{C9}} is non empty set
dom (C,D,C9,D9) is Element of the carrier of (C,D)
the carrier of (C,D) is non empty set
the Source of (C,D) is Relation-like the carrier' of (C,D) -defined the carrier of (C,D) -valued Function-like quasi_total Element of bool [: the carrier' of (C,D), the carrier of (C,D):]
[: the carrier' of (C,D), the carrier of (C,D):] is Relation-like non empty set
bool [: the carrier' of (C,D), the carrier of (C,D):] is non empty set
the Source of (C,D) . (C,D,C9,D9) is Element of the carrier of (C,D)
dom D9 is Element of the carrier of D
the Source of D . D9 is Element of the carrier of D
(C,D,(dom C9),(dom D9)) is V15() Element of the carrier of (C,D)
{(dom C9),(dom D9)} is non empty set
{(dom C9)} is non empty set
{{(dom C9),(dom D9)},{(dom C9)}} is non empty set
cod (C,D,C9,D9) is Element of the carrier of (C,D)
the Target of (C,D) is Relation-like the carrier' of (C,D) -defined the carrier of (C,D) -valued Function-like quasi_total Element of bool [: the carrier' of (C,D), the carrier of (C,D):]
the Target of (C,D) . (C,D,C9,D9) is Element of the carrier of (C,D)
cod D9 is Element of the carrier of D
the Target of D . D9 is Element of the carrier of D
(C,D,(cod C9),(cod D9)) is V15() Element of the carrier of (C,D)
{(cod C9),(cod D9)} is non empty set
{(cod C9)} is non empty set
{{(cod C9),(cod D9)},{(cod C9)}} is non empty set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) . (C9,D9) is Element of [: the carrier of C, the carrier of D:]
[C9,D9] is V15() set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) . [C9,D9] is set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) . (C9,D9) is Element of [: the carrier of C, the carrier of D:]
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) . [C9,D9] is set
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of C is non empty set
D is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of D is non empty set
(C,D) is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of C is non empty set
the carrier of D is non empty set
[: the carrier of C, the carrier of D:] is Relation-like non empty set
[: the carrier' of C, the carrier' of D:] is Relation-like non empty set
the Source of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
[: the carrier' of C, the carrier of C:] is Relation-like non empty set
bool [: the carrier' of C, the carrier of C:] is non empty set
the Source of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
[: the carrier' of D, the carrier of D:] is Relation-like non empty set
bool [: the carrier' of D, the carrier of D:] is non empty set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is non empty set
the Target of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
the Target of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
the Comp of C is Relation-like [: the carrier' of C, the carrier' of C:] -defined the carrier' of C -valued Function-like Element of bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:]
[: the carrier' of C, the carrier' of C:] is Relation-like non empty set
[:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is non empty set
the Comp of D is Relation-like [: the carrier' of D, the carrier' of D:] -defined the carrier' of D -valued Function-like Element of bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:]
[: the carrier' of D, the carrier' of D:] is Relation-like non empty set
[:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is Relation-like non empty set
bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is non empty set
( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) is Relation-like [:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] -defined [: the carrier' of C, the carrier' of D:] -valued Function-like Element of bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
[:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is non empty set
CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is non empty non void V55() strict CatStr
D9 is Element of the carrier' of C
dom D9 is Element of the carrier of C
the Source of C . D9 is Element of the carrier of C
C9 is Element of the carrier' of C
cod C9 is Element of the carrier of C
the Target of C . C9 is Element of the carrier of C
D9 (*) C9 is Element of the carrier' of C
T9 is Element of the carrier' of D
dom T9 is Element of the carrier of D
the Source of D . T9 is Element of the carrier of D
T is Element of the carrier' of D
cod T is Element of the carrier of D
the Target of D . T is Element of the carrier of D
(C,D,C9,T) is V15() Element of the carrier' of (C,D)
the carrier' of (C,D) is non empty set
{C9,T} is non empty set
{C9} is non empty set
{{C9,T},{C9}} is non empty set
(C,D,D9,T9) is V15() Element of the carrier' of (C,D)
{D9,T9} is non empty set
{D9} is non empty set
{{D9,T9},{D9}} is non empty set
(C,D,D9,T9) (*) (C,D,C9,T) is Element of the carrier' of (C,D)
T9 (*) T is Element of the carrier' of D
(C,D,(D9 (*) C9),(T9 (*) T)) is V15() Element of the carrier' of (C,D)
{(D9 (*) C9),(T9 (*) T)} is non empty set
{(D9 (*) C9)} is non empty set
{{(D9 (*) C9),(T9 (*) T)},{(D9 (*) C9)}} is non empty set
(C,C,D9,C9) is V15() Element of the carrier' of (C,C)
(C,C) is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
[: the carrier of C, the carrier of C:] is Relation-like non empty set
( the carrier' of C, the carrier' of C, the carrier of C, the carrier of C, the Source of C, the Source of C) is Relation-like [: the carrier' of C, the carrier' of C:] -defined [: the carrier of C, the carrier of C:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of C:],[: the carrier of C, the carrier of C:]:]
[:[: the carrier' of C, the carrier' of C:],[: the carrier of C, the carrier of C:]:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of C:],[: the carrier of C, the carrier of C:]:] is non empty set
( the carrier' of C, the carrier' of C, the carrier of C, the carrier of C, the Target of C, the Target of C) is Relation-like [: the carrier' of C, the carrier' of C:] -defined [: the carrier of C, the carrier of C:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of C:],[: the carrier of C, the carrier of C:]:]
( the carrier' of C, the carrier' of C, the Comp of C, the Comp of C) is Relation-like [:[: the carrier' of C, the carrier' of C:],[: the carrier' of C, the carrier' of C:]:] -defined [: the carrier' of C, the carrier' of C:] -valued Function-like Element of bool [:[:[: the carrier' of C, the carrier' of C:],[: the carrier' of C, the carrier' of C:]:],[: the carrier' of C, the carrier' of C:]:]
[:[: the carrier' of C, the carrier' of C:],[: the carrier' of C, the carrier' of C:]:] is Relation-like non empty set
[:[:[: the carrier' of C, the carrier' of C:],[: the carrier' of C, the carrier' of C:]:],[: the carrier' of C, the carrier' of C:]:] is Relation-like non empty set
bool [:[:[: the carrier' of C, the carrier' of C:],[: the carrier' of C, the carrier' of C:]:],[: the carrier' of C, the carrier' of C:]:] is non empty set
CatStr(# [: the carrier of C, the carrier of C:],[: the carrier' of C, the carrier' of C:],( the carrier' of C, the carrier' of C, the carrier of C, the carrier of C, the Source of C, the Source of C),( the carrier' of C, the carrier' of C, the carrier of C, the carrier of C, the Target of C, the Target of C),( the carrier' of C, the carrier' of C, the Comp of C, the Comp of C) #) is non empty non void V55() strict CatStr
the carrier' of (C,C) is non empty set
{D9,C9} is non empty set
{{D9,C9},{D9}} is non empty set
dom the Comp of C is Relation-like set
(D,D,T9,T) is V15() Element of the carrier' of (D,D)
(D,D) is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
[: the carrier of D, the carrier of D:] is Relation-like non empty set
( the carrier' of D, the carrier' of D, the carrier of D, the carrier of D, the Source of D, the Source of D) is Relation-like [: the carrier' of D, the carrier' of D:] -defined [: the carrier of D, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of D, the carrier' of D:],[: the carrier of D, the carrier of D:]:]
[:[: the carrier' of D, the carrier' of D:],[: the carrier of D, the carrier of D:]:] is Relation-like non empty set
bool [:[: the carrier' of D, the carrier' of D:],[: the carrier of D, the carrier of D:]:] is non empty set
( the carrier' of D, the carrier' of D, the carrier of D, the carrier of D, the Target of D, the Target of D) is Relation-like [: the carrier' of D, the carrier' of D:] -defined [: the carrier of D, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of D, the carrier' of D:],[: the carrier of D, the carrier of D:]:]
( the carrier' of D, the carrier' of D, the Comp of D, the Comp of D) is Relation-like [:[: the carrier' of D, the carrier' of D:],[: the carrier' of D, the carrier' of D:]:] -defined [: the carrier' of D, the carrier' of D:] -valued Function-like Element of bool [:[:[: the carrier' of D, the carrier' of D:],[: the carrier' of D, the carrier' of D:]:],[: the carrier' of D, the carrier' of D:]:]
[:[: the carrier' of D, the carrier' of D:],[: the carrier' of D, the carrier' of D:]:] is Relation-like non empty set
[:[:[: the carrier' of D, the carrier' of D:],[: the carrier' of D, the carrier' of D:]:],[: the carrier' of D, the carrier' of D:]:] is Relation-like non empty set
bool [:[:[: the carrier' of D, the carrier' of D:],[: the carrier' of D, the carrier' of D:]:],[: the carrier' of D, the carrier' of D:]:] is non empty set
CatStr(# [: the carrier of D, the carrier of D:],[: the carrier' of D, the carrier' of D:],( the carrier' of D, the carrier' of D, the carrier of D, the carrier of D, the Source of D, the Source of D),( the carrier' of D, the carrier' of D, the carrier of D, the carrier of D, the Target of D, the Target of D),( the carrier' of D, the carrier' of D, the Comp of D, the Comp of D) #) is non empty non void V55() strict CatStr
the carrier' of (D,D) is non empty set
{T9,T} is non empty set
{T9} is non empty set
{{T9,T},{T9}} is non empty set
dom the Comp of D is Relation-like set
dom (C,D,D9,T9) is Element of the carrier of (C,D)
the carrier of (C,D) is non empty set
the Source of (C,D) is Relation-like the carrier' of (C,D) -defined the carrier of (C,D) -valued Function-like quasi_total Element of bool [: the carrier' of (C,D), the carrier of (C,D):]
[: the carrier' of (C,D), the carrier of (C,D):] is Relation-like non empty set
bool [: the carrier' of (C,D), the carrier of (C,D):] is non empty set
the Source of (C,D) . (C,D,D9,T9) is Element of the carrier of (C,D)
(C,D,(dom D9),(dom T9)) is V15() Element of the carrier of (C,D)
{(dom D9),(dom T9)} is non empty set
{(dom D9)} is non empty set
{{(dom D9),(dom T9)},{(dom D9)}} is non empty set
cod (C,D,C9,T) is Element of the carrier of (C,D)
the Target of (C,D) is Relation-like the carrier' of (C,D) -defined the carrier of (C,D) -valued Function-like quasi_total Element of bool [: the carrier' of (C,D), the carrier of (C,D):]
the Target of (C,D) . (C,D,C9,T) is Element of the carrier of (C,D)
(C,D,(cod C9),(cod T)) is V15() Element of the carrier of (C,D)
{(cod C9),(cod T)} is non empty set
{(cod C9)} is non empty set
{{(cod C9),(cod T)},{(cod C9)}} is non empty set
( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) . ((C,D,D9,T9),(C,D,C9,T)) is set
[(C,D,D9,T9),(C,D,C9,T)] is V15() set
{(C,D,D9,T9),(C,D,C9,T)} is Relation-like non empty set
{(C,D,D9,T9)} is Relation-like non empty set
{{(C,D,D9,T9),(C,D,C9,T)},{(C,D,D9,T9)}} is non empty set
( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) . [(C,D,D9,T9),(C,D,C9,T)] is set
the Comp of C . (D9,C9) is set
[D9,C9] is V15() set
the Comp of C . [D9,C9] is set
the Comp of D . (T9,T) is set
[T9,T] is V15() set
the Comp of D . [T9,T] is set
[( the Comp of C . (D9,C9)),( the Comp of D . (T9,T))] is V15() set
{( the Comp of C . (D9,C9)),( the Comp of D . (T9,T))} is non empty set
{( the Comp of C . (D9,C9))} is non empty set
{{( the Comp of C . (D9,C9)),( the Comp of D . (T9,T))},{( the Comp of C . (D9,C9))}} is non empty set
[(D9 (*) C9),( the Comp of D . (T9,T))] is V15() set
{(D9 (*) C9),( the Comp of D . (T9,T))} is non empty set
{{(D9 (*) C9),( the Comp of D . (T9,T))},{(D9 (*) C9)}} is non empty set
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of C is non empty set
D is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of D is non empty set
(C,D) is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of C is non empty set
the carrier of D is non empty set
[: the carrier of C, the carrier of D:] is Relation-like non empty set
[: the carrier' of C, the carrier' of D:] is Relation-like non empty set
the Source of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
[: the carrier' of C, the carrier of C:] is Relation-like non empty set
bool [: the carrier' of C, the carrier of C:] is non empty set
the Source of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
[: the carrier' of D, the carrier of D:] is Relation-like non empty set
bool [: the carrier' of D, the carrier of D:] is non empty set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is non empty set
the Target of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
the Target of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
the Comp of C is Relation-like [: the carrier' of C, the carrier' of C:] -defined the carrier' of C -valued Function-like Element of bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:]
[: the carrier' of C, the carrier' of C:] is Relation-like non empty set
[:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is non empty set
the Comp of D is Relation-like [: the carrier' of D, the carrier' of D:] -defined the carrier' of D -valued Function-like Element of bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:]
[: the carrier' of D, the carrier' of D:] is Relation-like non empty set
[:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is Relation-like non empty set
bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is non empty set
( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) is Relation-like [:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] -defined [: the carrier' of C, the carrier' of D:] -valued Function-like Element of bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
[:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is non empty set
CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is non empty non void V55() strict CatStr
D9 is Element of the carrier' of C
C9 is Element of the carrier' of C
D9 (*) C9 is Element of the carrier' of C
T9 is Element of the carrier' of D
(C,D,D9,T9) is V15() Element of the carrier' of (C,D)
the carrier' of (C,D) is non empty set
{D9,T9} is non empty set
{D9} is non empty set
{{D9,T9},{D9}} is non empty set
dom (C,D,D9,T9) is Element of the carrier of (C,D)
the carrier of (C,D) is non empty set
the Source of (C,D) is Relation-like the carrier' of (C,D) -defined the carrier of (C,D) -valued Function-like quasi_total Element of bool [: the carrier' of (C,D), the carrier of (C,D):]
[: the carrier' of (C,D), the carrier of (C,D):] is Relation-like non empty set
bool [: the carrier' of (C,D), the carrier of (C,D):] is non empty set
the Source of (C,D) . (C,D,D9,T9) is Element of the carrier of (C,D)
T is Element of the carrier' of D
(C,D,C9,T) is V15() Element of the carrier' of (C,D)
{C9,T} is non empty set
{C9} is non empty set
{{C9,T},{C9}} is non empty set
cod (C,D,C9,T) is Element of the carrier of (C,D)
the Target of (C,D) is Relation-like the carrier' of (C,D) -defined the carrier of (C,D) -valued Function-like quasi_total Element of bool [: the carrier' of (C,D), the carrier of (C,D):]
the Target of (C,D) . (C,D,C9,T) is Element of the carrier of (C,D)
(C,D,D9,T9) (*) (C,D,C9,T) is Element of the carrier' of (C,D)
T9 (*) T is Element of the carrier' of D
(C,D,(D9 (*) C9),(T9 (*) T)) is V15() Element of the carrier' of (C,D)
{(D9 (*) C9),(T9 (*) T)} is non empty set
{(D9 (*) C9)} is non empty set
{{(D9 (*) C9),(T9 (*) T)},{(D9 (*) C9)}} is non empty set
dom D9 is Element of the carrier of C
the Source of C . D9 is Element of the carrier of C
dom T9 is Element of the carrier of D
the Source of D . T9 is Element of the carrier of D
(C,D,(dom D9),(dom T9)) is V15() Element of the carrier of (C,D)
{(dom D9),(dom T9)} is non empty set
{(dom D9)} is non empty set
{{(dom D9),(dom T9)},{(dom D9)}} is non empty set
cod C9 is Element of the carrier of C
the Target of C . C9 is Element of the carrier of C
cod T is Element of the carrier of D
the Target of D . T is Element of the carrier of D
(C,D,(cod C9),(cod T)) is V15() Element of the carrier of (C,D)
{(cod C9),(cod T)} is non empty set
{(cod C9)} is non empty set
{{(cod C9),(cod T)},{(cod C9)}} is non empty set
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of C is non empty set
D is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of D is non empty set
(C,D) is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
[: the carrier of C, the carrier of D:] is Relation-like non empty set
the carrier' of C is non empty set
the carrier' of D is non empty set
[: the carrier' of C, the carrier' of D:] is Relation-like non empty set
the Source of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
[: the carrier' of C, the carrier of C:] is Relation-like non empty set
bool [: the carrier' of C, the carrier of C:] is non empty set
the Source of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
[: the carrier' of D, the carrier of D:] is Relation-like non empty set
bool [: the carrier' of D, the carrier of D:] is non empty set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is non empty set
the Target of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
the Target of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
the Comp of C is Relation-like [: the carrier' of C, the carrier' of C:] -defined the carrier' of C -valued Function-like Element of bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:]
[: the carrier' of C, the carrier' of C:] is Relation-like non empty set
[:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is non empty set
the Comp of D is Relation-like [: the carrier' of D, the carrier' of D:] -defined the carrier' of D -valued Function-like Element of bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:]
[: the carrier' of D, the carrier' of D:] is Relation-like non empty set
[:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is Relation-like non empty set
bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is non empty set
( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) is Relation-like [:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] -defined [: the carrier' of C, the carrier' of D:] -valued Function-like Element of bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
[:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is non empty set
CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is non empty non void V55() strict CatStr
C9 is Element of the carrier of C
id C9 is Morphism of C9,C9
D9 is Element of the carrier of D
(C,D,C9,D9) is V15() Element of the carrier of (C,D)
the carrier of (C,D) is non empty set
{C9,D9} is non empty set
{C9} is non empty set
{{C9,D9},{C9}} is non empty set
id (C,D,C9,D9) is Morphism of (C,D,C9,D9),(C,D,C9,D9)
id D9 is Morphism of D9,D9
(C,D,(id C9),(id D9)) is V15() Element of the carrier' of (C,D)
the carrier' of (C,D) is non empty set
{(id C9),(id D9)} is non empty set
{(id C9)} is non empty set
{{(id C9),(id D9)},{(id C9)}} is non empty set
dom (C,D,(id C9),(id D9)) is Element of the carrier of (C,D)
the Source of (C,D) is Relation-like the carrier' of (C,D) -defined the carrier of (C,D) -valued Function-like quasi_total Element of bool [: the carrier' of (C,D), the carrier of (C,D):]
[: the carrier' of (C,D), the carrier of (C,D):] is Relation-like non empty set
bool [: the carrier' of (C,D), the carrier of (C,D):] is non empty set
the Source of (C,D) . (C,D,(id C9),(id D9)) is Element of the carrier of (C,D)
dom (id C9) is Element of the carrier of C
the Source of C . (id C9) is Element of the carrier of C
dom (id D9) is Element of the carrier of D
the Source of D . (id D9) is Element of the carrier of D
(C,D,(dom (id C9)),(dom (id D9))) is V15() Element of the carrier of (C,D)
{(dom (id C9)),(dom (id D9))} is non empty set
{(dom (id C9))} is non empty set
{{(dom (id C9)),(dom (id D9))},{(dom (id C9))}} is non empty set
(C,D,C9,(dom (id D9))) is V15() Element of the carrier of (C,D)
{C9,(dom (id D9))} is non empty set
{{C9,(dom (id D9))},{C9}} is non empty set
cod (C,D,(id C9),(id D9)) is Element of the carrier of (C,D)
the Target of (C,D) is Relation-like the carrier' of (C,D) -defined the carrier of (C,D) -valued Function-like quasi_total Element of bool [: the carrier' of (C,D), the carrier of (C,D):]
the Target of (C,D) . (C,D,(id C9),(id D9)) is Element of the carrier of (C,D)
cod (id C9) is Element of the carrier of C
the Target of C . (id C9) is Element of the carrier of C
cod (id D9) is Element of the carrier of D
the Target of D . (id D9) is Element of the carrier of D
(C,D,(cod (id C9)),(cod (id D9))) is V15() Element of the carrier of (C,D)
{(cod (id C9)),(cod (id D9))} is non empty set
{(cod (id C9))} is non empty set
{{(cod (id C9)),(cod (id D9))},{(cod (id C9))}} is non empty set
(C,D,C9,(cod (id D9))) is V15() Element of the carrier of (C,D)
{C9,(cod (id D9))} is non empty set
{{C9,(cod (id D9))},{C9}} is non empty set
T9 is Element of the carrier of (C,D)
Hom ((C,D,C9,D9),T9) is Element of bool the carrier' of (C,D)
bool the carrier' of (C,D) is non empty set
{ b₁ where b₁ is Element of the carrier' of (C,D) : ( dom b₁ = (C,D,C9,D9) & cod b₁ = T9 ) } is set
Hom (T9,(C,D,C9,D9)) is Element of bool the carrier' of (C,D)
{ b₁ where b₁ is Element of the carrier' of (C,D) : ( dom b₁ = T9 & cod b₁ = (C,D,C9,D9) ) } is set
c is Morphism of (C,D,C9,D9),T9
c (*) (C,D,(id C9),(id D9)) is Element of the carrier' of (C,D)
c9 is Element of the carrier' of C
d9 is Element of the carrier' of D
(C,D,c9,d9) is V15() Element of the carrier' of (C,D)
{c9,d9} is non empty set
{c9} is non empty set
{{c9,d9},{c9}} is non empty set
dom c is Element of the carrier of (C,D)
the Source of (C,D) . c is Element of the carrier of (C,D)
dom c9 is Element of the carrier of C
the Source of C . c9 is Element of the carrier of C
dom d9 is Element of the carrier of D
the Source of D . d9 is Element of the carrier of D
(C,D,(dom c9),(dom d9)) is V15() Element of the carrier of (C,D)
{(dom c9),(dom d9)} is non empty set
{(dom c9)} is non empty set
{{(dom c9),(dom d9)},{(dom c9)}} is non empty set
c9 (*) (id C9) is Element of the carrier' of C
d9 (*) (id D9) is Element of the carrier' of D
(C,D,(c9 (*) (id C9)),(d9 (*) (id D9))) is V15() Element of the carrier' of (C,D)
{(c9 (*) (id C9)),(d9 (*) (id D9))} is non empty set
{(c9 (*) (id C9))} is non empty set
{{(c9 (*) (id C9)),(d9 (*) (id D9))},{(c9 (*) (id C9))}} is non empty set
(C,D,c9,(d9 (*) (id D9))) is V15() Element of the carrier' of (C,D)
{c9,(d9 (*) (id D9))} is non empty set
{{c9,(d9 (*) (id D9))},{c9}} is non empty set
c is Morphism of T9,(C,D,C9,D9)
(C,D,(id C9),(id D9)) (*) c is Element of the carrier' of (C,D)
c9 is Element of the carrier' of C
d9 is Element of the carrier' of D
(C,D,c9,d9) is V15() Element of the carrier' of (C,D)
{c9,d9} is non empty set
{c9} is non empty set
{{c9,d9},{c9}} is non empty set
cod c is Element of the carrier of (C,D)
the Target of (C,D) . c is Element of the carrier of (C,D)
cod c9 is Element of the carrier of C
the Target of C . c9 is Element of the carrier of C
cod d9 is Element of the carrier of D
the Target of D . d9 is Element of the carrier of D
(C,D,(cod c9),(cod d9)) is V15() Element of the carrier of (C,D)
{(cod c9),(cod d9)} is non empty set
{(cod c9)} is non empty set
{{(cod c9),(cod d9)},{(cod c9)}} is non empty set
(id C9) (*) c9 is Element of the carrier' of C
(id D9) (*) d9 is Element of the carrier' of D
(C,D,((id C9) (*) c9),((id D9) (*) d9)) is V15() Element of the carrier' of (C,D)
{((id C9) (*) c9),((id D9) (*) d9)} is non empty set
{((id C9) (*) c9)} is non empty set
{{((id C9) (*) c9),((id D9) (*) d9)},{((id C9) (*) c9)}} is non empty set
(C,D,c9,((id D9) (*) d9)) is V15() Element of the carrier' of (C,D)
{c9,((id D9) (*) d9)} is non empty set
{{c9,((id D9) (*) d9)},{c9}} is non empty set
T is Morphism of (C,D,C9,D9),(C,D,C9,D9)
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of C is non empty set
D is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of D is non empty set
(C,D) is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
[: the carrier of C, the carrier of D:] is Relation-like non empty set
the carrier' of C is non empty set
the carrier' of D is non empty set
[: the carrier' of C, the carrier' of D:] is Relation-like non empty set
the Source of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
[: the carrier' of C, the carrier of C:] is Relation-like non empty set
bool [: the carrier' of C, the carrier of C:] is non empty set
the Source of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
[: the carrier' of D, the carrier of D:] is Relation-like non empty set
bool [: the carrier' of D, the carrier of D:] is non empty set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is non empty set
the Target of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
the Target of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
the Comp of C is Relation-like [: the carrier' of C, the carrier' of C:] -defined the carrier' of C -valued Function-like Element of bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:]
[: the carrier' of C, the carrier' of C:] is Relation-like non empty set
[:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is non empty set
the Comp of D is Relation-like [: the carrier' of D, the carrier' of D:] -defined the carrier' of D -valued Function-like Element of bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:]
[: the carrier' of D, the carrier' of D:] is Relation-like non empty set
[:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is Relation-like non empty set
bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is non empty set
( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) is Relation-like [:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] -defined [: the carrier' of C, the carrier' of D:] -valued Function-like Element of bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
[:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is non empty set
CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is non empty non void V55() strict CatStr
C9 is Element of the carrier of C
D9 is Element of the carrier of C
Hom (C9,D9) is Element of bool the carrier' of C
bool the carrier' of C is non empty set
{ b₁ where b₁ is Element of the carrier' of C : ( dom b₁ = C9 & cod b₁ = D9 ) } is set
T is Element of the carrier of D
(C,D,C9,T) is V15() Element of the carrier of (C,D)
the carrier of (C,D) is non empty set
{C9,T} is non empty set
{C9} is non empty set
{{C9,T},{C9}} is non empty set
T9 is Element of the carrier of D
(C,D,D9,T9) is V15() Element of the carrier of (C,D)
{D9,T9} is non empty set
{D9} is non empty set
{{D9,T9},{D9}} is non empty set
Hom ((C,D,C9,T),(C,D,D9,T9)) is Element of bool the carrier' of (C,D)
the carrier' of (C,D) is non empty set
bool the carrier' of (C,D) is non empty set
{ b₁ where b₁ is Element of the carrier' of (C,D) : ( dom b₁ = (C,D,C9,T) & cod b₁ = (C,D,D9,T9) ) } is set
Hom (T,T9) is Element of bool the carrier' of D
bool the carrier' of D is non empty set
{ b₁ where b₁ is Element of the carrier' of D : ( dom b₁ = T & cod b₁ = T9 ) } is set
[:(Hom (C9,D9)),(Hom (T,T9)):] is Relation-like set
c is set
c9 is Morphism of (C,D,C9,T),(C,D,D9,T9)
dom c9 is Element of the carrier of (C,D)
the Source of (C,D) is Relation-like the carrier' of (C,D) -defined the carrier of (C,D) -valued Function-like quasi_total Element of bool [: the carrier' of (C,D), the carrier of (C,D):]
[: the carrier' of (C,D), the carrier of (C,D):] is Relation-like non empty set
bool [: the carrier' of (C,D), the carrier of (C,D):] is non empty set
the Source of (C,D) . c9 is Element of the carrier of (C,D)
cod c9 is Element of the carrier of (C,D)
the Target of (C,D) is Relation-like the carrier' of (C,D) -defined the carrier of (C,D) -valued Function-like quasi_total Element of bool [: the carrier' of (C,D), the carrier of (C,D):]
the Target of (C,D) . c9 is Element of the carrier of (C,D)
d9 is set
dd9 is set
[d9,dd9] is V15() set
{d9,dd9} is non empty set
{d9} is non empty set
{{d9,dd9},{d9}} is non empty set
f2 is Element of the carrier' of C
cod f2 is Element of the carrier of C
the Target of C . f2 is Element of the carrier of C
g1 is Element of the carrier' of D
cod g1 is Element of the carrier of D
the Target of D . g1 is Element of the carrier of D
(C,D,(cod f2),(cod g1)) is V15() Element of the carrier of (C,D)
{(cod f2),(cod g1)} is non empty set
{(cod f2)} is non empty set
{{(cod f2),(cod g1)},{(cod f2)}} is non empty set
dom f2 is Element of the carrier of C
the Source of C . f2 is Element of the carrier of C
dom g1 is Element of the carrier of D
the Source of D . g1 is Element of the carrier of D
(C,D,(dom f2),(dom g1)) is V15() Element of the carrier of (C,D)
{(dom f2),(dom g1)} is non empty set
{(dom f2)} is non empty set
{{(dom f2),(dom g1)},{(dom f2)}} is non empty set
c9 is set
d9 is set
[c9,d9] is V15() set
{c9,d9} is non empty set
{c9} is non empty set
{{c9,d9},{c9}} is non empty set
g1 is Morphism of C9,D9
cod g1 is Element of the carrier of C
the Target of C . g1 is Element of the carrier of C
dd9 is Morphism of T,T9
cod dd9 is Element of the carrier of D
the Target of D . dd9 is Element of the carrier of D
(C,D,g1,dd9) is V15() Element of the carrier' of (C,D)
{g1,dd9} is non empty set
{g1} is non empty set
{{g1,dd9},{g1}} is non empty set
cod (C,D,g1,dd9) is Element of the carrier of (C,D)
the Target of (C,D) is Relation-like the carrier' of (C,D) -defined the carrier of (C,D) -valued Function-like quasi_total Element of bool [: the carrier' of (C,D), the carrier of (C,D):]
[: the carrier' of (C,D), the carrier of (C,D):] is Relation-like non empty set
bool [: the carrier' of (C,D), the carrier of (C,D):] is non empty set
the Target of (C,D) . (C,D,g1,dd9) is Element of the carrier of (C,D)
dom g1 is Element of the carrier of C
the Source of C . g1 is Element of the carrier of C
dom dd9 is Element of the carrier of D
the Source of D . dd9 is Element of the carrier of D
dom (C,D,g1,dd9) is Element of the carrier of (C,D)
the Source of (C,D) is Relation-like the carrier' of (C,D) -defined the carrier of (C,D) -valued Function-like quasi_total Element of bool [: the carrier' of (C,D), the carrier of (C,D):]
the Source of (C,D) . (C,D,g1,dd9) is Element of the carrier of (C,D)
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of C is non empty set
D is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of D is non empty set
(C,D) is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
[: the carrier of C, the carrier of D:] is Relation-like non empty set
the carrier' of C is non empty set
the carrier' of D is non empty set
[: the carrier' of C, the carrier' of D:] is Relation-like non empty set
the Source of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
[: the carrier' of C, the carrier of C:] is Relation-like non empty set
bool [: the carrier' of C, the carrier of C:] is non empty set
the Source of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
[: the carrier' of D, the carrier of D:] is Relation-like non empty set
bool [: the carrier' of D, the carrier of D:] is non empty set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is non empty set
the Target of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
the Target of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
the Comp of C is Relation-like [: the carrier' of C, the carrier' of C:] -defined the carrier' of C -valued Function-like Element of bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:]
[: the carrier' of C, the carrier' of C:] is Relation-like non empty set
[:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is non empty set
the Comp of D is Relation-like [: the carrier' of D, the carrier' of D:] -defined the carrier' of D -valued Function-like Element of bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:]
[: the carrier' of D, the carrier' of D:] is Relation-like non empty set
[:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is Relation-like non empty set
bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is non empty set
( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) is Relation-like [:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] -defined [: the carrier' of C, the carrier' of D:] -valued Function-like Element of bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
[:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is non empty set
CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is non empty non void V55() strict CatStr
C9 is Element of the carrier of C
D9 is Element of the carrier of C
Hom (C9,D9) is Element of bool the carrier' of C
bool the carrier' of C is non empty set
{ b₁ where b₁ is Element of the carrier' of C : ( dom b₁ = C9 & cod b₁ = D9 ) } is set
T is Morphism of C9,D9
T9 is Element of the carrier of D
c is Element of the carrier of D
Hom (T9,c) is Element of bool the carrier' of D
bool the carrier' of D is non empty set
{ b₁ where b₁ is Element of the carrier' of D : ( dom b₁ = T9 & cod b₁ = c ) } is set
(C,D,C9,T9) is V15() Element of the carrier of (C,D)
the carrier of (C,D) is non empty set
{C9,T9} is non empty set
{C9} is non empty set
{{C9,T9},{C9}} is non empty set
(C,D,D9,c) is V15() Element of the carrier of (C,D)
{D9,c} is non empty set
{D9} is non empty set
{{D9,c},{D9}} is non empty set
c9 is Morphism of T9,c
(C,D,T,c9) is V15() Element of the carrier' of (C,D)
the carrier' of (C,D) is non empty set
{T,c9} is non empty set
{T} is non empty set
{{T,c9},{T}} is non empty set
cod T is Element of the carrier of C
the Target of C . T is Element of the carrier of C
cod c9 is Element of the carrier of D
the Target of D . c9 is Element of the carrier of D
cod (C,D,T,c9) is Element of the carrier of (C,D)
the Target of (C,D) is Relation-like the carrier' of (C,D) -defined the carrier of (C,D) -valued Function-like quasi_total Element of bool [: the carrier' of (C,D), the carrier of (C,D):]
[: the carrier' of (C,D), the carrier of (C,D):] is Relation-like non empty set
bool [: the carrier' of (C,D), the carrier of (C,D):] is non empty set
the Target of (C,D) . (C,D,T,c9) is Element of the carrier of (C,D)
dom T is Element of the carrier of C
the Source of C . T is Element of the carrier of C
dom c9 is Element of the carrier of D
the Source of D . c9 is Element of the carrier of D
dom (C,D,T,c9) is Element of the carrier of (C,D)
the Source of (C,D) is Relation-like the carrier' of (C,D) -defined the carrier of (C,D) -valued Function-like quasi_total Element of bool [: the carrier' of (C,D), the carrier of (C,D):]
the Source of (C,D) . (C,D,T,c9) is Element of the carrier of (C,D)
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
D is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
(C,D) is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of C is non empty set
the carrier of D is non empty set
[: the carrier of C, the carrier of D:] is Relation-like non empty set
the carrier' of C is non empty set
the carrier' of D is non empty set
[: the carrier' of C, the carrier' of D:] is Relation-like non empty set
the Source of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
[: the carrier' of C, the carrier of C:] is Relation-like non empty set
bool [: the carrier' of C, the carrier of C:] is non empty set
the Source of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
[: the carrier' of D, the carrier of D:] is Relation-like non empty set
bool [: the carrier' of D, the carrier of D:] is non empty set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is non empty set
the Target of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
the Target of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
the Comp of C is Relation-like [: the carrier' of C, the carrier' of C:] -defined the carrier' of C -valued Function-like Element of bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:]
[: the carrier' of C, the carrier' of C:] is Relation-like non empty set
[:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is non empty set
the Comp of D is Relation-like [: the carrier' of D, the carrier' of D:] -defined the carrier' of D -valued Function-like Element of bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:]
[: the carrier' of D, the carrier' of D:] is Relation-like non empty set
[:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is Relation-like non empty set
bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is non empty set
( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) is Relation-like [:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] -defined [: the carrier' of C, the carrier' of D:] -valued Function-like Element of bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
[:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is non empty set
CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is non empty non void V55() strict CatStr
the carrier' of (C,D) is non empty set
C9 is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of C9 is non empty set
D9 is Relation-like the carrier' of (C,D) -defined the carrier' of C9 -valued Function-like quasi_total Functor of (C,D),C9
T is Element of the carrier' of C
T9 is Element of the carrier' of D
D9 . (T,T9) is set
[T,T9] is V15() set
{T,T9} is non empty set
{T} is non empty set
{{T,T9},{T}} is non empty set
D9 . [T,T9] is set
(C,D,T,T9) is V15() Element of the carrier' of (C,D)
D9 . (C,D,T,T9) is Element of the carrier' of C9
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of C is non empty set
D is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
(C,D) is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of D is non empty set
[: the carrier of C, the carrier of D:] is Relation-like non empty set
the carrier' of C is non empty set
the carrier' of D is non empty set
[: the carrier' of C, the carrier' of D:] is Relation-like non empty set
the Source of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
[: the carrier' of C, the carrier of C:] is Relation-like non empty set
bool [: the carrier' of C, the carrier of C:] is non empty set
the Source of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
[: the carrier' of D, the carrier of D:] is Relation-like non empty set
bool [: the carrier' of D, the carrier of D:] is non empty set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is non empty set
the Target of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
the Target of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
the Comp of C is Relation-like [: the carrier' of C, the carrier' of C:] -defined the carrier' of C -valued Function-like Element of bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:]
[: the carrier' of C, the carrier' of C:] is Relation-like non empty set
[:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is non empty set
the Comp of D is Relation-like [: the carrier' of D, the carrier' of D:] -defined the carrier' of D -valued Function-like Element of bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:]
[: the carrier' of D, the carrier' of D:] is Relation-like non empty set
[:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is Relation-like non empty set
bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is non empty set
( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) is Relation-like [:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] -defined [: the carrier' of C, the carrier' of D:] -valued Function-like Element of bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
[:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is non empty set
CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is non empty non void V55() strict CatStr
the carrier' of (C,D) is non empty set
C9 is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of C9 is non empty set
D9 is Relation-like the carrier' of (C,D) -defined the carrier' of C9 -valued Function-like quasi_total Functor of (C,D),C9
curry D9 is Relation-like Function-like set
T is Element of the carrier of C
id T is Morphism of T,T
(curry D9) . (id T) is set
[:[: the carrier' of C, the carrier' of D:], the carrier' of C9:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of D:], the carrier' of C9:] is non empty set
[: the carrier' of D, the carrier' of C9:] is Relation-like non empty set
bool [: the carrier' of D, the carrier' of C9:] is non empty set
Funcs ( the carrier' of D, the carrier' of C9) is non empty FUNCTION_DOMAIN of the carrier' of D, the carrier' of C9
T9 is Relation-like [: the carrier' of C, the carrier' of D:] -defined the carrier' of C9 -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:], the carrier' of C9:]
curry T9 is Relation-like the carrier' of C -defined Funcs ( the carrier' of D, the carrier' of C9) -valued Function-like quasi_total Element of bool [: the carrier' of C,(Funcs ( the carrier' of D, the carrier' of C9)):]
[: the carrier' of C,(Funcs ( the carrier' of D, the carrier' of C9)):] is Relation-like non empty set
bool [: the carrier' of C,(Funcs ( the carrier' of D, the carrier' of C9)):] is non empty set
(curry T9) . (id T) is Relation-like the carrier' of D -defined the carrier' of C9 -valued Function-like quasi_total Element of Funcs ( the carrier' of D, the carrier' of C9)
the carrier of C9 is non empty set
c is Relation-like the carrier' of D -defined the carrier' of C9 -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier' of C9:]
c9 is Element of the carrier of D
id c9 is Morphism of c9,c9
c . (id c9) is Element of the carrier' of C9
(C,D,T,c9) is V15() Element of the carrier of (C,D)
the carrier of (C,D) is non empty set
{T,c9} is non empty set
{T} is non empty set
{{T,c9},{T}} is non empty set
id (C,D,T,c9) is Morphism of (C,D,T,c9),(C,D,T,c9)
D9 . (id (C,D,T,c9)) is Element of the carrier' of C9
d9 is Element of the carrier of C9
id d9 is Morphism of d9,d9
(C,D,C9,D9,(id T),(id c9)) is Element of the carrier' of C9
[(id T),(id c9)] is V15() set
{(id T),(id c9)} is non empty set
{(id T)} is non empty set
{{(id T),(id c9)},{(id T)}} is non empty set
D9 . [(id T),(id c9)] is set
dom (id T) is Element of the carrier of C
the Source of C . (id T) is Element of the carrier of C
cod (id T) is Element of the carrier of C
the Target of C . (id T) is Element of the carrier of C
c9 is Element of the carrier' of D
dom c9 is Element of the carrier of D
the Source of D . c9 is Element of the carrier of D
id (dom c9) is Morphism of dom c9, dom c9
c . (id (dom c9)) is Element of the carrier' of C9
c . c9 is Element of the carrier' of C9
dom (c . c9) is Element of the carrier of C9
the Source of C9 is Relation-like the carrier' of C9 -defined the carrier of C9 -valued Function-like quasi_total Element of bool [: the carrier' of C9, the carrier of C9:]
[: the carrier' of C9, the carrier of C9:] is Relation-like non empty set
bool [: the carrier' of C9, the carrier of C9:] is non empty set
the Source of C9 . (c . c9) is Element of the carrier of C9
id (dom (c . c9)) is Morphism of dom (c . c9), dom (c . c9)
cod c9 is Element of the carrier of D
the Target of D . c9 is Element of the carrier of D
id (cod c9) is Morphism of cod c9, cod c9
c . (id (cod c9)) is Element of the carrier' of C9
cod (c . c9) is Element of the carrier of C9
the Target of C9 is Relation-like the carrier' of C9 -defined the carrier of C9 -valued Function-like quasi_total Element of bool [: the carrier' of C9, the carrier of C9:]
the Target of C9 . (c . c9) is Element of the carrier of C9
id (cod (c . c9)) is Morphism of cod (c . c9), cod (c . c9)
(C,D,C9,D9,(id T),(id (dom c9))) is Element of the carrier' of C9
[(id T),(id (dom c9))] is V15() set
{(id T),(id (dom c9))} is non empty set
{(id T)} is non empty set
{{(id T),(id (dom c9))},{(id T)}} is non empty set
D9 . [(id T),(id (dom c9))] is set
(C,D,T,(dom c9)) is V15() Element of the carrier of (C,D)
the carrier of (C,D) is non empty set
{T,(dom c9)} is non empty set
{T} is non empty set
{{T,(dom c9)},{T}} is non empty set
id (C,D,T,(dom c9)) is Morphism of (C,D,T,(dom c9)),(C,D,T,(dom c9))
D9 . (id (C,D,T,(dom c9))) is Element of the carrier' of C9
(C,D,(dom (id T)),(dom c9)) is V15() Element of the carrier of (C,D)
{(dom (id T)),(dom c9)} is non empty set
{(dom (id T))} is non empty set
{{(dom (id T)),(dom c9)},{(dom (id T))}} is non empty set
id (C,D,(dom (id T)),(dom c9)) is Morphism of (C,D,(dom (id T)),(dom c9)),(C,D,(dom (id T)),(dom c9))
D9 . (id (C,D,(dom (id T)),(dom c9))) is Element of the carrier' of C9
(C,D,(id T),c9) is V15() Element of the carrier' of (C,D)
{(id T),c9} is non empty set
{{(id T),c9},{(id T)}} is non empty set
dom (C,D,(id T),c9) is Element of the carrier of (C,D)
the Source of (C,D) is Relation-like the carrier' of (C,D) -defined the carrier of (C,D) -valued Function-like quasi_total Element of bool [: the carrier' of (C,D), the carrier of (C,D):]
[: the carrier' of (C,D), the carrier of (C,D):] is Relation-like non empty set
bool [: the carrier' of (C,D), the carrier of (C,D):] is non empty set
the Source of (C,D) . (C,D,(id T),c9) is Element of the carrier of (C,D)
id (dom (C,D,(id T),c9)) is Morphism of dom (C,D,(id T),c9), dom (C,D,(id T),c9)
D9 . (id (dom (C,D,(id T),c9))) is Element of the carrier' of C9
(C,D,C9,D9,(id T),c9) is Element of the carrier' of C9
[(id T),c9] is V15() set
D9 . [(id T),c9] is set
dom (C,D,C9,D9,(id T),c9) is Element of the carrier of C9
the Source of C9 . (C,D,C9,D9,(id T),c9) is Element of the carrier of C9
id (dom (C,D,C9,D9,(id T),c9)) is Morphism of dom (C,D,C9,D9,(id T),c9), dom (C,D,C9,D9,(id T),c9)
(C,D,C9,D9,(id T),(id (cod c9))) is Element of the carrier' of C9
[(id T),(id (cod c9))] is V15() set
{(id T),(id (cod c9))} is non empty set
{{(id T),(id (cod c9))},{(id T)}} is non empty set
D9 . [(id T),(id (cod c9))] is set
(C,D,T,(cod c9)) is V15() Element of the carrier of (C,D)
{T,(cod c9)} is non empty set
{{T,(cod c9)},{T}} is non empty set
id (C,D,T,(cod c9)) is Morphism of (C,D,T,(cod c9)),(C,D,T,(cod c9))
D9 . (id (C,D,T,(cod c9))) is Element of the carrier' of C9
(C,D,(cod (id T)),(cod c9)) is V15() Element of the carrier of (C,D)
{(cod (id T)),(cod c9)} is non empty set
{(cod (id T))} is non empty set
{{(cod (id T)),(cod c9)},{(cod (id T))}} is non empty set
id (C,D,(cod (id T)),(cod c9)) is Morphism of (C,D,(cod (id T)),(cod c9)),(C,D,(cod (id T)),(cod c9))
D9 . (id (C,D,(cod (id T)),(cod c9))) is Element of the carrier' of C9
cod (C,D,(id T),c9) is Element of the carrier of (C,D)
the Target of (C,D) is Relation-like the carrier' of (C,D) -defined the carrier of (C,D) -valued Function-like quasi_total Element of bool [: the carrier' of (C,D), the carrier of (C,D):]
the Target of (C,D) . (C,D,(id T),c9) is Element of the carrier of (C,D)
id (cod (C,D,(id T),c9)) is Morphism of cod (C,D,(id T),c9), cod (C,D,(id T),c9)
D9 . (id (cod (C,D,(id T),c9))) is Element of the carrier' of C9
cod (C,D,C9,D9,(id T),c9) is Element of the carrier of C9
the Target of C9 . (C,D,C9,D9,(id T),c9) is Element of the carrier of C9
id (cod (C,D,C9,D9,(id T),c9)) is Morphism of cod (C,D,C9,D9,(id T),c9), cod (C,D,C9,D9,(id T),c9)
d9 is Element of the carrier' of D
dom d9 is Element of the carrier of D
the Source of D . d9 is Element of the carrier of D
c9 is Element of the carrier' of D
cod c9 is Element of the carrier of D
the Target of D . c9 is Element of the carrier of D
Hom (T,T) is non empty Element of bool the carrier' of C
bool the carrier' of C is non empty set
{ b₁ where b₁ is Element of the carrier' of C : ( dom b₁ = T & cod b₁ = T ) } is set
(id T) * (id T) is Morphism of T,T
(id T) (*) (id T) is Element of the carrier' of C
(C,D,(id T),d9) is V15() Element of the carrier' of (C,D)
{(id T),d9} is non empty set
{(id T)} is non empty set
{{(id T),d9},{(id T)}} is non empty set
dom (C,D,(id T),d9) is Element of the carrier of (C,D)
the carrier of (C,D) is non empty set
the Source of (C,D) is Relation-like the carrier' of (C,D) -defined the carrier of (C,D) -valued Function-like quasi_total Element of bool [: the carrier' of (C,D), the carrier of (C,D):]
[: the carrier' of (C,D), the carrier of (C,D):] is Relation-like non empty set
bool [: the carrier' of (C,D), the carrier of (C,D):] is non empty set
the Source of (C,D) . (C,D,(id T),d9) is Element of the carrier of (C,D)
(C,D,(dom (id T)),(dom d9)) is V15() Element of the carrier of (C,D)
{(dom (id T)),(dom d9)} is non empty set
{(dom (id T))} is non empty set
{{(dom (id T)),(dom d9)},{(dom (id T))}} is non empty set
(C,D,(id T),c9) is V15() Element of the carrier' of (C,D)
{(id T),c9} is non empty set
{{(id T),c9},{(id T)}} is non empty set
cod (C,D,(id T),c9) is Element of the carrier of (C,D)
the Target of (C,D) is Relation-like the carrier' of (C,D) -defined the carrier of (C,D) -valued Function-like quasi_total Element of bool [: the carrier' of (C,D), the carrier of (C,D):]
the Target of (C,D) . (C,D,(id T),c9) is Element of the carrier of (C,D)
(C,D,(cod (id T)),(cod c9)) is V15() Element of the carrier of (C,D)
{(cod (id T)),(cod c9)} is non empty set
{(cod (id T))} is non empty set
{{(cod (id T)),(cod c9)},{(cod (id T))}} is non empty set
d9 (*) c9 is Element of the carrier' of D
c . (d9 (*) c9) is Element of the carrier' of C9
(C,D,C9,D9,((id T) * (id T)),(d9 (*) c9)) is Element of the carrier' of C9
[((id T) * (id T)),(d9 (*) c9)] is V15() set
{((id T) * (id T)),(d9 (*) c9)} is non empty set
{((id T) * (id T))} is non empty set
{{((id T) * (id T)),(d9 (*) c9)},{((id T) * (id T))}} is non empty set
D9 . [((id T) * (id T)),(d9 (*) c9)] is set
(C,D,(id T),d9) (*) (C,D,(id T),c9) is Element of the carrier' of (C,D)
D9 . ((C,D,(id T),d9) (*) (C,D,(id T),c9)) is Element of the carrier' of C9
(C,D,C9,D9,(id T),c9) is Element of the carrier' of C9
[(id T),c9] is V15() set
D9 . [(id T),c9] is set
(C,D,C9,D9,(id T),d9) is Element of the carrier' of C9
[(id T),d9] is V15() set
D9 . [(id T),d9] is set
(C,D,C9,D9,(id T),d9) (*) (C,D,C9,D9,(id T),c9) is Element of the carrier' of C9
c . d9 is Element of the carrier' of C9
(c . d9) (*) (C,D,C9,D9,(id T),c9) is Element of the carrier' of C9
c . c9 is Element of the carrier' of C9
(c . d9) (*) (c . c9) is Element of the carrier' of C9
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of C is non empty set
D is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
(C,D) is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of C is non empty set
the carrier of D is non empty set
[: the carrier of C, the carrier of D:] is Relation-like non empty set
the carrier' of D is non empty set
[: the carrier' of C, the carrier' of D:] is Relation-like non empty set
the Source of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
[: the carrier' of C, the carrier of C:] is Relation-like non empty set
bool [: the carrier' of C, the carrier of C:] is non empty set
the Source of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
[: the carrier' of D, the carrier of D:] is Relation-like non empty set
bool [: the carrier' of D, the carrier of D:] is non empty set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is non empty set
the Target of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
the Target of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
the Comp of C is Relation-like [: the carrier' of C, the carrier' of C:] -defined the carrier' of C -valued Function-like Element of bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:]
[: the carrier' of C, the carrier' of C:] is Relation-like non empty set
[:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is non empty set
the Comp of D is Relation-like [: the carrier' of D, the carrier' of D:] -defined the carrier' of D -valued Function-like Element of bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:]
[: the carrier' of D, the carrier' of D:] is Relation-like non empty set
[:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is Relation-like non empty set
bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is non empty set
( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) is Relation-like [:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] -defined [: the carrier' of C, the carrier' of D:] -valued Function-like Element of bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
[:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is non empty set
CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is non empty non void V55() strict CatStr
the carrier' of (C,D) is non empty set
C9 is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of C9 is non empty set
D9 is Relation-like the carrier' of (C,D) -defined the carrier' of C9 -valued Function-like quasi_total Functor of (C,D),C9
curry' D9 is Relation-like Function-like set
T is Element of the carrier of D
id T is Morphism of T,T
(curry' D9) . (id T) is set
[:[: the carrier' of C, the carrier' of D:], the carrier' of C9:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of D:], the carrier' of C9:] is non empty set
[: the carrier' of C, the carrier' of C9:] is Relation-like non empty set
bool [: the carrier' of C, the carrier' of C9:] is non empty set
Funcs ( the carrier' of C, the carrier' of C9) is non empty FUNCTION_DOMAIN of the carrier' of C, the carrier' of C9
T9 is Relation-like [: the carrier' of C, the carrier' of D:] -defined the carrier' of C9 -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:], the carrier' of C9:]
curry' T9 is Relation-like the carrier' of D -defined Funcs ( the carrier' of C, the carrier' of C9) -valued Function-like quasi_total Element of bool [: the carrier' of D,(Funcs ( the carrier' of C, the carrier' of C9)):]
[: the carrier' of D,(Funcs ( the carrier' of C, the carrier' of C9)):] is Relation-like non empty set
bool [: the carrier' of D,(Funcs ( the carrier' of C, the carrier' of C9)):] is non empty set
(curry' T9) . (id T) is Relation-like the carrier' of C -defined the carrier' of C9 -valued Function-like quasi_total Element of Funcs ( the carrier' of C, the carrier' of C9)
the carrier of C9 is non empty set
c is Relation-like the carrier' of C -defined the carrier' of C9 -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier' of C9:]
c9 is Element of the carrier of C
id c9 is Morphism of c9,c9
c . (id c9) is Element of the carrier' of C9
(C,D,c9,T) is V15() Element of the carrier of (C,D)
the carrier of (C,D) is non empty set
{c9,T} is non empty set
{c9} is non empty set
{{c9,T},{c9}} is non empty set
id (C,D,c9,T) is Morphism of (C,D,c9,T),(C,D,c9,T)
D9 . (id (C,D,c9,T)) is Element of the carrier' of C9
d9 is Element of the carrier of C9
id d9 is Morphism of d9,d9
(C,D,C9,D9,(id c9),(id T)) is Element of the carrier' of C9
[(id c9),(id T)] is V15() set
{(id c9),(id T)} is non empty set
{(id c9)} is non empty set
{{(id c9),(id T)},{(id c9)}} is non empty set
D9 . [(id c9),(id T)] is set
dom (id T) is Element of the carrier of D
the Source of D . (id T) is Element of the carrier of D
cod (id T) is Element of the carrier of D
the Target of D . (id T) is Element of the carrier of D
c9 is Element of the carrier' of C
dom c9 is Element of the carrier of C
the Source of C . c9 is Element of the carrier of C
id (dom c9) is Morphism of dom c9, dom c9
c . (id (dom c9)) is Element of the carrier' of C9
c . c9 is Element of the carrier' of C9
dom (c . c9) is Element of the carrier of C9
the Source of C9 is Relation-like the carrier' of C9 -defined the carrier of C9 -valued Function-like quasi_total Element of bool [: the carrier' of C9, the carrier of C9:]
[: the carrier' of C9, the carrier of C9:] is Relation-like non empty set
bool [: the carrier' of C9, the carrier of C9:] is non empty set
the Source of C9 . (c . c9) is Element of the carrier of C9
id (dom (c . c9)) is Morphism of dom (c . c9), dom (c . c9)
cod c9 is Element of the carrier of C
the Target of C . c9 is Element of the carrier of C
id (cod c9) is Morphism of cod c9, cod c9
c . (id (cod c9)) is Element of the carrier' of C9
cod (c . c9) is Element of the carrier of C9
the Target of C9 is Relation-like the carrier' of C9 -defined the carrier of C9 -valued Function-like quasi_total Element of bool [: the carrier' of C9, the carrier of C9:]
the Target of C9 . (c . c9) is Element of the carrier of C9
id (cod (c . c9)) is Morphism of cod (c . c9), cod (c . c9)
(C,D,C9,D9,(id (dom c9)),(id T)) is Element of the carrier' of C9
[(id (dom c9)),(id T)] is V15() set
{(id (dom c9)),(id T)} is non empty set
{(id (dom c9))} is non empty set
{{(id (dom c9)),(id T)},{(id (dom c9))}} is non empty set
D9 . [(id (dom c9)),(id T)] is set
(C,D,(dom c9),T) is V15() Element of the carrier of (C,D)
the carrier of (C,D) is non empty set
{(dom c9),T} is non empty set
{(dom c9)} is non empty set
{{(dom c9),T},{(dom c9)}} is non empty set
id (C,D,(dom c9),T) is Morphism of (C,D,(dom c9),T),(C,D,(dom c9),T)
D9 . (id (C,D,(dom c9),T)) is Element of the carrier' of C9
(C,D,(dom c9),(dom (id T))) is V15() Element of the carrier of (C,D)
{(dom c9),(dom (id T))} is non empty set
{{(dom c9),(dom (id T))},{(dom c9)}} is non empty set
id (C,D,(dom c9),(dom (id T))) is Morphism of (C,D,(dom c9),(dom (id T))),(C,D,(dom c9),(dom (id T)))
D9 . (id (C,D,(dom c9),(dom (id T)))) is Element of the carrier' of C9
(C,D,c9,(id T)) is V15() Element of the carrier' of (C,D)
{c9,(id T)} is non empty set
{c9} is non empty set
{{c9,(id T)},{c9}} is non empty set
dom (C,D,c9,(id T)) is Element of the carrier of (C,D)
the Source of (C,D) is Relation-like the carrier' of (C,D) -defined the carrier of (C,D) -valued Function-like quasi_total Element of bool [: the carrier' of (C,D), the carrier of (C,D):]
[: the carrier' of (C,D), the carrier of (C,D):] is Relation-like non empty set
bool [: the carrier' of (C,D), the carrier of (C,D):] is non empty set
the Source of (C,D) . (C,D,c9,(id T)) is Element of the carrier of (C,D)
id (dom (C,D,c9,(id T))) is Morphism of dom (C,D,c9,(id T)), dom (C,D,c9,(id T))
D9 . (id (dom (C,D,c9,(id T)))) is Element of the carrier' of C9
(C,D,C9,D9,c9,(id T)) is Element of the carrier' of C9
[c9,(id T)] is V15() set
D9 . [c9,(id T)] is set
dom (C,D,C9,D9,c9,(id T)) is Element of the carrier of C9
the Source of C9 . (C,D,C9,D9,c9,(id T)) is Element of the carrier of C9
id (dom (C,D,C9,D9,c9,(id T))) is Morphism of dom (C,D,C9,D9,c9,(id T)), dom (C,D,C9,D9,c9,(id T))
(C,D,C9,D9,(id (cod c9)),(id T)) is Element of the carrier' of C9
[(id (cod c9)),(id T)] is V15() set
{(id (cod c9)),(id T)} is non empty set
{(id (cod c9))} is non empty set
{{(id (cod c9)),(id T)},{(id (cod c9))}} is non empty set
D9 . [(id (cod c9)),(id T)] is set
(C,D,(cod c9),T) is V15() Element of the carrier of (C,D)
{(cod c9),T} is non empty set
{(cod c9)} is non empty set
{{(cod c9),T},{(cod c9)}} is non empty set
id (C,D,(cod c9),T) is Morphism of (C,D,(cod c9),T),(C,D,(cod c9),T)
D9 . (id (C,D,(cod c9),T)) is Element of the carrier' of C9
(C,D,(cod c9),(cod (id T))) is V15() Element of the carrier of (C,D)
{(cod c9),(cod (id T))} is non empty set
{{(cod c9),(cod (id T))},{(cod c9)}} is non empty set
id (C,D,(cod c9),(cod (id T))) is Morphism of (C,D,(cod c9),(cod (id T))),(C,D,(cod c9),(cod (id T)))
D9 . (id (C,D,(cod c9),(cod (id T)))) is Element of the carrier' of C9
cod (C,D,c9,(id T)) is Element of the carrier of (C,D)
the Target of (C,D) is Relation-like the carrier' of (C,D) -defined the carrier of (C,D) -valued Function-like quasi_total Element of bool [: the carrier' of (C,D), the carrier of (C,D):]
the Target of (C,D) . (C,D,c9,(id T)) is Element of the carrier of (C,D)
id (cod (C,D,c9,(id T))) is Morphism of cod (C,D,c9,(id T)), cod (C,D,c9,(id T))
D9 . (id (cod (C,D,c9,(id T)))) is Element of the carrier' of C9
cod (C,D,C9,D9,c9,(id T)) is Element of the carrier of C9
the Target of C9 . (C,D,C9,D9,c9,(id T)) is Element of the carrier of C9
id (cod (C,D,C9,D9,c9,(id T))) is Morphism of cod (C,D,C9,D9,c9,(id T)), cod (C,D,C9,D9,c9,(id T))
d9 is Element of the carrier' of C
dom d9 is Element of the carrier of C
the Source of C . d9 is Element of the carrier of C
c9 is Element of the carrier' of C
cod c9 is Element of the carrier of C
the Target of C . c9 is Element of the carrier of C
Hom (T,T) is non empty Element of bool the carrier' of D
bool the carrier' of D is non empty set
{ b₁ where b₁ is Element of the carrier' of D : ( dom b₁ = T & cod b₁ = T ) } is set
(id T) * (id T) is Morphism of T,T
(id T) (*) (id T) is Element of the carrier' of D
(C,D,d9,(id T)) is V15() Element of the carrier' of (C,D)
{d9,(id T)} is non empty set
{d9} is non empty set
{{d9,(id T)},{d9}} is non empty set
dom (C,D,d9,(id T)) is Element of the carrier of (C,D)
the carrier of (C,D) is non empty set
the Source of (C,D) is Relation-like the carrier' of (C,D) -defined the carrier of (C,D) -valued Function-like quasi_total Element of bool [: the carrier' of (C,D), the carrier of (C,D):]
[: the carrier' of (C,D), the carrier of (C,D):] is Relation-like non empty set
bool [: the carrier' of (C,D), the carrier of (C,D):] is non empty set
the Source of (C,D) . (C,D,d9,(id T)) is Element of the carrier of (C,D)
(C,D,(dom d9),(dom (id T))) is V15() Element of the carrier of (C,D)
{(dom d9),(dom (id T))} is non empty set
{(dom d9)} is non empty set
{{(dom d9),(dom (id T))},{(dom d9)}} is non empty set
(C,D,c9,(id T)) is V15() Element of the carrier' of (C,D)
{c9,(id T)} is non empty set
{c9} is non empty set
{{c9,(id T)},{c9}} is non empty set
cod (C,D,c9,(id T)) is Element of the carrier of (C,D)
the Target of (C,D) is Relation-like the carrier' of (C,D) -defined the carrier of (C,D) -valued Function-like quasi_total Element of bool [: the carrier' of (C,D), the carrier of (C,D):]
the Target of (C,D) . (C,D,c9,(id T)) is Element of the carrier of (C,D)
(C,D,(cod c9),(cod (id T))) is V15() Element of the carrier of (C,D)
{(cod c9),(cod (id T))} is non empty set
{(cod c9)} is non empty set
{{(cod c9),(cod (id T))},{(cod c9)}} is non empty set
d9 (*) c9 is Element of the carrier' of C
c . (d9 (*) c9) is Element of the carrier' of C9
(C,D,C9,D9,(d9 (*) c9),((id T) * (id T))) is Element of the carrier' of C9
[(d9 (*) c9),((id T) * (id T))] is V15() set
{(d9 (*) c9),((id T) * (id T))} is non empty set
{(d9 (*) c9)} is non empty set
{{(d9 (*) c9),((id T) * (id T))},{(d9 (*) c9)}} is non empty set
D9 . [(d9 (*) c9),((id T) * (id T))] is set
(C,D,d9,(id T)) (*) (C,D,c9,(id T)) is Element of the carrier' of (C,D)
D9 . ((C,D,d9,(id T)) (*) (C,D,c9,(id T))) is Element of the carrier' of C9
(C,D,C9,D9,c9,(id T)) is Element of the carrier' of C9
[c9,(id T)] is V15() set
D9 . [c9,(id T)] is set
(C,D,C9,D9,d9,(id T)) is Element of the carrier' of C9
[d9,(id T)] is V15() set
D9 . [d9,(id T)] is set
(C,D,C9,D9,d9,(id T)) (*) (C,D,C9,D9,c9,(id T)) is Element of the carrier' of C9
c . d9 is Element of the carrier' of C9
(c . d9) (*) (C,D,C9,D9,c9,(id T)) is Element of the carrier' of C9
c . c9 is Element of the carrier' of C9
(c . d9) (*) (c . c9) is Element of the carrier' of C9
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
D is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
(C,D) is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of C is non empty set
the carrier of D is non empty set
[: the carrier of C, the carrier of D:] is Relation-like non empty set
the carrier' of C is non empty set
the carrier' of D is non empty set
[: the carrier' of C, the carrier' of D:] is Relation-like non empty set
the Source of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
[: the carrier' of C, the carrier of C:] is Relation-like non empty set
bool [: the carrier' of C, the carrier of C:] is non empty set
the Source of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
[: the carrier' of D, the carrier of D:] is Relation-like non empty set
bool [: the carrier' of D, the carrier of D:] is non empty set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is non empty set
the Target of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
the Target of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
the Comp of C is Relation-like [: the carrier' of C, the carrier' of C:] -defined the carrier' of C -valued Function-like Element of bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:]
[: the carrier' of C, the carrier' of C:] is Relation-like non empty set
[:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is non empty set
the Comp of D is Relation-like [: the carrier' of D, the carrier' of D:] -defined the carrier' of D -valued Function-like Element of bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:]
[: the carrier' of D, the carrier' of D:] is Relation-like non empty set
[:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is Relation-like non empty set
bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is non empty set
( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) is Relation-like [:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] -defined [: the carrier' of C, the carrier' of D:] -valued Function-like Element of bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
[:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is non empty set
CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is non empty non void V55() strict CatStr
the carrier' of (C,D) is non empty set
C9 is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of C9 is non empty set
D9 is Relation-like the carrier' of (C,D) -defined the carrier' of C9 -valued Function-like quasi_total Functor of (C,D),C9
curry D9 is Relation-like Function-like set
T is Element of the carrier of C
id T is Morphism of T,T
(curry D9) . (id T) is set
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
D is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
(C,D) is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of C is non empty set
the carrier of D is non empty set
[: the carrier of C, the carrier of D:] is Relation-like non empty set
the carrier' of C is non empty set
the carrier' of D is non empty set
[: the carrier' of C, the carrier' of D:] is Relation-like non empty set
the Source of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
[: the carrier' of C, the carrier of C:] is Relation-like non empty set
bool [: the carrier' of C, the carrier of C:] is non empty set
the Source of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
[: the carrier' of D, the carrier of D:] is Relation-like non empty set
bool [: the carrier' of D, the carrier of D:] is non empty set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is non empty set
the Target of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
the Target of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
the Comp of C is Relation-like [: the carrier' of C, the carrier' of C:] -defined the carrier' of C -valued Function-like Element of bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:]
[: the carrier' of C, the carrier' of C:] is Relation-like non empty set
[:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is non empty set
the Comp of D is Relation-like [: the carrier' of D, the carrier' of D:] -defined the carrier' of D -valued Function-like Element of bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:]
[: the carrier' of D, the carrier' of D:] is Relation-like non empty set
[:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is Relation-like non empty set
bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is non empty set
( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) is Relation-like [:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] -defined [: the carrier' of C, the carrier' of D:] -valued Function-like Element of bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
[:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is non empty set
CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is non empty non void V55() strict CatStr
the carrier' of (C,D) is non empty set
C9 is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of C9 is non empty set
D9 is Relation-like the carrier' of (C,D) -defined the carrier' of C9 -valued Function-like quasi_total Functor of (C,D),C9
T is Element of the carrier of C
(C,D,C9,D9,T) is Relation-like the carrier' of D -defined the carrier' of C9 -valued Function-like quasi_total Functor of D,C9
curry D9 is Relation-like Function-like set
id T is Morphism of T,T
(curry D9) . (id T) is set
T9 is Element of the carrier' of D
(C,D,C9,D9,T) . T9 is Element of the carrier' of C9
(C,D,C9,D9,(id T),T9) is Element of the carrier' of C9
[(id T),T9] is V15() set
{(id T),T9} is non empty set
{(id T)} is non empty set
{{(id T),T9},{(id T)}} is non empty set
D9 . [(id T),T9] is set
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of C is non empty set
D is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
(C,D) is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of D is non empty set
[: the carrier of C, the carrier of D:] is Relation-like non empty set
the carrier' of C is non empty set
the carrier' of D is non empty set
[: the carrier' of C, the carrier' of D:] is Relation-like non empty set
the Source of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
[: the carrier' of C, the carrier of C:] is Relation-like non empty set
bool [: the carrier' of C, the carrier of C:] is non empty set
the Source of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
[: the carrier' of D, the carrier of D:] is Relation-like non empty set
bool [: the carrier' of D, the carrier of D:] is non empty set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is non empty set
the Target of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
the Target of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
the Comp of C is Relation-like [: the carrier' of C, the carrier' of C:] -defined the carrier' of C -valued Function-like Element of bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:]
[: the carrier' of C, the carrier' of C:] is Relation-like non empty set
[:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is non empty set
the Comp of D is Relation-like [: the carrier' of D, the carrier' of D:] -defined the carrier' of D -valued Function-like Element of bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:]
[: the carrier' of D, the carrier' of D:] is Relation-like non empty set
[:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is Relation-like non empty set
bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is non empty set
( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) is Relation-like [:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] -defined [: the carrier' of C, the carrier' of D:] -valued Function-like Element of bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
[:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is non empty set
CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is non empty non void V55() strict CatStr
the carrier' of (C,D) is non empty set
C9 is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of C9 is non empty set
the carrier of C9 is non empty set
D9 is Relation-like the carrier' of (C,D) -defined the carrier' of C9 -valued Function-like quasi_total Functor of (C,D),C9
Obj D9 is Relation-like the carrier of (C,D) -defined the carrier of C9 -valued Function-like quasi_total Element of bool [: the carrier of (C,D), the carrier of C9:]
the carrier of (C,D) is non empty set
[: the carrier of (C,D), the carrier of C9:] is Relation-like non empty set
bool [: the carrier of (C,D), the carrier of C9:] is non empty set
T is Element of the carrier of C
(C,D,C9,D9,T) is Relation-like the carrier' of D -defined the carrier' of C9 -valued Function-like quasi_total Functor of D,C9
curry D9 is Relation-like Function-like set
id T is Morphism of T,T
(curry D9) . (id T) is set
Obj (C,D,C9,D9,T) is Relation-like the carrier of D -defined the carrier of C9 -valued Function-like quasi_total Element of bool [: the carrier of D, the carrier of C9:]
[: the carrier of D, the carrier of C9:] is Relation-like non empty set
bool [: the carrier of D, the carrier of C9:] is non empty set
T9 is Element of the carrier of D
(Obj (C,D,C9,D9,T)) . T9 is Element of the carrier of C9
(Obj D9) . (T,T9) is set
[T,T9] is V15() set
{T,T9} is non empty set
{T} is non empty set
{{T,T9},{T}} is non empty set
(Obj D9) . [T,T9] is set
id T9 is Morphism of T9,T9
(C,D,C9,D9,T) . (id T9) is Element of the carrier' of C9
(C,D,C9,D9,(id T),(id T9)) is Element of the carrier' of C9
[(id T),(id T9)] is V15() set
{(id T),(id T9)} is non empty set
{(id T)} is non empty set
{{(id T),(id T9)},{(id T)}} is non empty set
D9 . [(id T),(id T9)] is set
(C,D,T,T9) is V15() Element of the carrier of (C,D)
id (C,D,T,T9) is Morphism of (C,D,T,T9),(C,D,T,T9)
D9 . (id (C,D,T,T9)) is Element of the carrier' of C9
(Obj D9) . (C,D,T,T9) is Element of the carrier of C9
id ((Obj D9) . (C,D,T,T9)) is Morphism of (Obj D9) . (C,D,T,T9),(Obj D9) . (C,D,T,T9)
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
D is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
(C,D) is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of C is non empty set
the carrier of D is non empty set
[: the carrier of C, the carrier of D:] is Relation-like non empty set
the carrier' of C is non empty set
the carrier' of D is non empty set
[: the carrier' of C, the carrier' of D:] is Relation-like non empty set
the Source of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
[: the carrier' of C, the carrier of C:] is Relation-like non empty set
bool [: the carrier' of C, the carrier of C:] is non empty set
the Source of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
[: the carrier' of D, the carrier of D:] is Relation-like non empty set
bool [: the carrier' of D, the carrier of D:] is non empty set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is non empty set
the Target of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
the Target of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
the Comp of C is Relation-like [: the carrier' of C, the carrier' of C:] -defined the carrier' of C -valued Function-like Element of bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:]
[: the carrier' of C, the carrier' of C:] is Relation-like non empty set
[:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is non empty set
the Comp of D is Relation-like [: the carrier' of D, the carrier' of D:] -defined the carrier' of D -valued Function-like Element of bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:]
[: the carrier' of D, the carrier' of D:] is Relation-like non empty set
[:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is Relation-like non empty set
bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is non empty set
( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) is Relation-like [:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] -defined [: the carrier' of C, the carrier' of D:] -valued Function-like Element of bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
[:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is non empty set
CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is non empty non void V55() strict CatStr
the carrier' of (C,D) is non empty set
C9 is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of C9 is non empty set
D9 is Relation-like the carrier' of (C,D) -defined the carrier' of C9 -valued Function-like quasi_total Functor of (C,D),C9
curry' D9 is Relation-like Function-like set
T is Element of the carrier of D
id T is Morphism of T,T
(curry' D9) . (id T) is set
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
D is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
(C,D) is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of C is non empty set
the carrier of D is non empty set
[: the carrier of C, the carrier of D:] is Relation-like non empty set
the carrier' of C is non empty set
the carrier' of D is non empty set
[: the carrier' of C, the carrier' of D:] is Relation-like non empty set
the Source of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
[: the carrier' of C, the carrier of C:] is Relation-like non empty set
bool [: the carrier' of C, the carrier of C:] is non empty set
the Source of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
[: the carrier' of D, the carrier of D:] is Relation-like non empty set
bool [: the carrier' of D, the carrier of D:] is non empty set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is non empty set
the Target of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
the Target of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
the Comp of C is Relation-like [: the carrier' of C, the carrier' of C:] -defined the carrier' of C -valued Function-like Element of bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:]
[: the carrier' of C, the carrier' of C:] is Relation-like non empty set
[:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is non empty set
the Comp of D is Relation-like [: the carrier' of D, the carrier' of D:] -defined the carrier' of D -valued Function-like Element of bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:]
[: the carrier' of D, the carrier' of D:] is Relation-like non empty set
[:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is Relation-like non empty set
bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is non empty set
( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) is Relation-like [:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] -defined [: the carrier' of C, the carrier' of D:] -valued Function-like Element of bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
[:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is non empty set
CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is non empty non void V55() strict CatStr
the carrier' of (C,D) is non empty set
C9 is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of C9 is non empty set
D9 is Relation-like the carrier' of (C,D) -defined the carrier' of C9 -valued Function-like quasi_total Functor of (C,D),C9
T is Element of the carrier of D
(C,D,C9,D9,T) is Relation-like the carrier' of C -defined the carrier' of C9 -valued Function-like quasi_total Functor of C,C9
curry' D9 is Relation-like Function-like set
id T is Morphism of T,T
(curry' D9) . (id T) is set
T9 is Element of the carrier' of C
(C,D,C9,D9,T) . T9 is Element of the carrier' of C9
(C,D,C9,D9,T9,(id T)) is Element of the carrier' of C9
[T9,(id T)] is V15() set
{T9,(id T)} is non empty set
{T9} is non empty set
{{T9,(id T)},{T9}} is non empty set
D9 . [T9,(id T)] is set
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of C is non empty set
D is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
(C,D) is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of D is non empty set
[: the carrier of C, the carrier of D:] is Relation-like non empty set
the carrier' of C is non empty set
the carrier' of D is non empty set
[: the carrier' of C, the carrier' of D:] is Relation-like non empty set
the Source of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
[: the carrier' of C, the carrier of C:] is Relation-like non empty set
bool [: the carrier' of C, the carrier of C:] is non empty set
the Source of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
[: the carrier' of D, the carrier of D:] is Relation-like non empty set
bool [: the carrier' of D, the carrier of D:] is non empty set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is non empty set
the Target of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
the Target of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
the Comp of C is Relation-like [: the carrier' of C, the carrier' of C:] -defined the carrier' of C -valued Function-like Element of bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:]
[: the carrier' of C, the carrier' of C:] is Relation-like non empty set
[:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is non empty set
the Comp of D is Relation-like [: the carrier' of D, the carrier' of D:] -defined the carrier' of D -valued Function-like Element of bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:]
[: the carrier' of D, the carrier' of D:] is Relation-like non empty set
[:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is Relation-like non empty set
bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is non empty set
( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) is Relation-like [:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] -defined [: the carrier' of C, the carrier' of D:] -valued Function-like Element of bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
[:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is non empty set
CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is non empty non void V55() strict CatStr
the carrier' of (C,D) is non empty set
C9 is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of C9 is non empty set
the carrier of C9 is non empty set
D9 is Relation-like the carrier' of (C,D) -defined the carrier' of C9 -valued Function-like quasi_total Functor of (C,D),C9
Obj D9 is Relation-like the carrier of (C,D) -defined the carrier of C9 -valued Function-like quasi_total Element of bool [: the carrier of (C,D), the carrier of C9:]
the carrier of (C,D) is non empty set
[: the carrier of (C,D), the carrier of C9:] is Relation-like non empty set
bool [: the carrier of (C,D), the carrier of C9:] is non empty set
T is Element of the carrier of C
T9 is Element of the carrier of D
(C,D,C9,D9,T9) is Relation-like the carrier' of C -defined the carrier' of C9 -valued Function-like quasi_total Functor of C,C9
curry' D9 is Relation-like Function-like set
id T9 is Morphism of T9,T9
(curry' D9) . (id T9) is set
Obj (C,D,C9,D9,T9) is Relation-like the carrier of C -defined the carrier of C9 -valued Function-like quasi_total Element of bool [: the carrier of C, the carrier of C9:]
[: the carrier of C, the carrier of C9:] is Relation-like non empty set
bool [: the carrier of C, the carrier of C9:] is non empty set
(Obj (C,D,C9,D9,T9)) . T is Element of the carrier of C9
(Obj D9) . (T,T9) is set
[T,T9] is V15() set
{T,T9} is non empty set
{T} is non empty set
{{T,T9},{T}} is non empty set
(Obj D9) . [T,T9] is set
id T is Morphism of T,T
(C,D,C9,D9,T9) . (id T) is Element of the carrier' of C9
(C,D,C9,D9,(id T),(id T9)) is Element of the carrier' of C9
[(id T),(id T9)] is V15() set
{(id T),(id T9)} is non empty set
{(id T)} is non empty set
{{(id T),(id T9)},{(id T)}} is non empty set
D9 . [(id T),(id T9)] is set
(C,D,T,T9) is V15() Element of the carrier of (C,D)
id (C,D,T,T9) is Morphism of (C,D,T,T9),(C,D,T,T9)
D9 . (id (C,D,T,T9)) is Element of the carrier' of C9
(Obj D9) . (C,D,T,T9) is Element of the carrier of C9
id ((Obj D9) . (C,D,T,T9)) is Morphism of (Obj D9) . (C,D,T,T9),(Obj D9) . (C,D,T,T9)
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of C is non empty set
the carrier' of C is non empty set
D is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of D is non empty set
the carrier' of D is non empty set
(D,C) is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
[: the carrier of D, the carrier of C:] is Relation-like non empty set
[: the carrier' of D, the carrier' of C:] is Relation-like non empty set
the Source of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
[: the carrier' of D, the carrier of D:] is Relation-like non empty set
bool [: the carrier' of D, the carrier of D:] is non empty set
the Source of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
[: the carrier' of C, the carrier of C:] is Relation-like non empty set
bool [: the carrier' of C, the carrier of C:] is non empty set
( the carrier' of D, the carrier' of C, the carrier of D, the carrier of C, the Source of D, the Source of C) is Relation-like [: the carrier' of D, the carrier' of C:] -defined [: the carrier of D, the carrier of C:] -valued Function-like quasi_total Element of bool [:[: the carrier' of D, the carrier' of C:],[: the carrier of D, the carrier of C:]:]
[:[: the carrier' of D, the carrier' of C:],[: the carrier of D, the carrier of C:]:] is Relation-like non empty set
bool [:[: the carrier' of D, the carrier' of C:],[: the carrier of D, the carrier of C:]:] is non empty set
the Target of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
the Target of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
( the carrier' of D, the carrier' of C, the carrier of D, the carrier of C, the Target of D, the Target of C) is Relation-like [: the carrier' of D, the carrier' of C:] -defined [: the carrier of D, the carrier of C:] -valued Function-like quasi_total Element of bool [:[: the carrier' of D, the carrier' of C:],[: the carrier of D, the carrier of C:]:]
the Comp of D is Relation-like [: the carrier' of D, the carrier' of D:] -defined the carrier' of D -valued Function-like Element of bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:]
[: the carrier' of D, the carrier' of D:] is Relation-like non empty set
[:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is Relation-like non empty set
bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is non empty set
the Comp of C is Relation-like [: the carrier' of C, the carrier' of C:] -defined the carrier' of C -valued Function-like Element of bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:]
[: the carrier' of C, the carrier' of C:] is Relation-like non empty set
[:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is non empty set
( the carrier' of D, the carrier' of C, the Comp of D, the Comp of C) is Relation-like [:[: the carrier' of D, the carrier' of C:],[: the carrier' of D, the carrier' of C:]:] -defined [: the carrier' of D, the carrier' of C:] -valued Function-like Element of bool [:[:[: the carrier' of D, the carrier' of C:],[: the carrier' of D, the carrier' of C:]:],[: the carrier' of D, the carrier' of C:]:]
[:[: the carrier' of D, the carrier' of C:],[: the carrier' of D, the carrier' of C:]:] is Relation-like non empty set
[:[:[: the carrier' of D, the carrier' of C:],[: the carrier' of D, the carrier' of C:]:],[: the carrier' of D, the carrier' of C:]:] is Relation-like non empty set
bool [:[:[: the carrier' of D, the carrier' of C:],[: the carrier' of D, the carrier' of C:]:],[: the carrier' of D, the carrier' of C:]:] is non empty set
CatStr(# [: the carrier of D, the carrier of C:],[: the carrier' of D, the carrier' of C:],( the carrier' of D, the carrier' of C, the carrier of D, the carrier of C, the Source of D, the Source of C),( the carrier' of D, the carrier' of C, the carrier of D, the carrier of C, the Target of D, the Target of C),( the carrier' of D, the carrier' of C, the Comp of D, the Comp of C) #) is non empty non void V55() strict CatStr
the carrier' of (D,C) is non empty set
C9 is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
(D,C9) is non empty (D,C9)
[: the carrier of C,(D,C9):] is Relation-like non empty set
bool [: the carrier of C,(D,C9):] is non empty set
(C,C9) is non empty (C,C9)
[: the carrier of D,(C,C9):] is Relation-like non empty set
bool [: the carrier of D,(C,C9):] is non empty set
the carrier' of C9 is non empty set
D9 is Relation-like the carrier of C -defined (D,C9) -valued Function-like quasi_total Element of bool [: the carrier of C,(D,C9):]
T is Relation-like the carrier of D -defined (C,C9) -valued Function-like quasi_total Element of bool [: the carrier of D,(C,C9):]
[:H₁(D),H₁(C):] is Relation-like non empty set
[:[:H₁(D),H₁(C):],H₁(C9):] is Relation-like non empty set
bool [:[:H₁(D),H₁(C):],H₁(C9):] is non empty set
T9 is Relation-like [:H₁(D),H₁(C):] -defined H₁(C9) -valued Function-like quasi_total Element of bool [:[:H₁(D),H₁(C):],H₁(C9):]
[:H₁((D,C)),H₁(C9):] is Relation-like non empty set
bool [:H₁((D,C)),H₁(C9):] is non empty set
the carrier of (D,C) is non empty set
the carrier of C9 is non empty set
c is Relation-like H₁((D,C)) -defined H₁(C9) -valued Function-like quasi_total Element of bool [:H₁((D,C)),H₁(C9):]
c9 is Element of the carrier of (D,C)
id c9 is Morphism of c9,c9
c . (id c9) is Element of H₁(C9)
d9 is Element of the carrier of D
dd9 is Element of the carrier of C
(D,C,d9,dd9) is V15() Element of the carrier of (D,C)
{d9,dd9} is non empty set
{d9} is non empty set
{{d9,dd9},{d9}} is non empty set
( the carrier of C,D,C9,(D,C9),D9,dd9) is Relation-like the carrier' of D -defined the carrier' of C9 -valued Function-like quasi_total (D,C9,(D,C9))
id d9 is Morphism of d9,d9
( the carrier of C,D,C9,(D,C9),D9,dd9) . (id d9) is Element of the carrier' of C9
g1 is Element of the carrier of C9
id g1 is Morphism of g1,g1
Hom (g1,g1) is non empty Element of bool the carrier' of C9
bool the carrier' of C9 is non empty set
{ b₁ where b₁ is Element of the carrier' of C9 : ( dom b₁ = g1 & cod b₁ = g1 ) } is set
(id g1) * (id g1) is Morphism of g1,g1
(id g1) (*) (id g1) is Element of the carrier' of C9
id dd9 is Morphism of dd9,dd9
cod (id dd9) is Element of the carrier of C
the Target of C . (id dd9) is Element of the carrier of C
dom (id d9) is Element of the carrier of D
the Source of D . (id d9) is Element of the carrier of D
( the carrier of D,C,C9,(C,C9),T,d9) is Relation-like the carrier' of C -defined the carrier' of C9 -valued Function-like quasi_total (C,C9,(C,C9))
( the carrier of D,C,C9,(C,C9),T,d9) . (id dd9) is Element of the carrier' of C9
c . ((id d9),(id dd9)) is set
[(id d9),(id dd9)] is V15() set
{(id d9),(id dd9)} is non empty set
{(id d9)} is non empty set
{{(id d9),(id dd9)},{(id d9)}} is non empty set
c . [(id d9),(id dd9)] is set
c9 is Element of the carrier' of (D,C)
dom c9 is Element of the carrier of (D,C)
the Source of (D,C) is Relation-like the carrier' of (D,C) -defined the carrier of (D,C) -valued Function-like quasi_total Element of bool [: the carrier' of (D,C), the carrier of (D,C):]
[: the carrier' of (D,C), the carrier of (D,C):] is Relation-like non empty set
bool [: the carrier' of (D,C), the carrier of (D,C):] is non empty set
the Source of (D,C) . c9 is Element of the carrier of (D,C)
id (dom c9) is Morphism of dom c9, dom c9
c . (id (dom c9)) is Element of H₁(C9)
c . c9 is Element of H₁(C9)
dom (c . c9) is Element of the carrier of C9
the Source of C9 is Relation-like the carrier' of C9 -defined the carrier of C9 -valued Function-like quasi_total Element of bool [: the carrier' of C9, the carrier of C9:]
[: the carrier' of C9, the carrier of C9:] is Relation-like non empty set
bool [: the carrier' of C9, the carrier of C9:] is non empty set
the Source of C9 . (c . c9) is Element of the carrier of C9
id (dom (c . c9)) is Morphism of dom (c . c9), dom (c . c9)
cod c9 is Element of the carrier of (D,C)
the Target of (D,C) is Relation-like the carrier' of (D,C) -defined the carrier of (D,C) -valued Function-like quasi_total Element of bool [: the carrier' of (D,C), the carrier of (D,C):]
the Target of (D,C) . c9 is Element of the carrier of (D,C)
id (cod c9) is Morphism of cod c9, cod c9
c . (id (cod c9)) is Element of H₁(C9)
cod (c . c9) is Element of the carrier of C9
the Target of C9 is Relation-like the carrier' of C9 -defined the carrier of C9 -valued Function-like quasi_total Element of bool [: the carrier' of C9, the carrier of C9:]
the Target of C9 . (c . c9) is Element of the carrier of C9
id (cod (c . c9)) is Morphism of cod (c . c9), cod (c . c9)
d9 is Element of the carrier' of D
dd9 is Element of the carrier' of C
(D,C,d9,dd9) is V15() Element of the carrier' of (D,C)
{d9,dd9} is non empty set
{d9} is non empty set
{{d9,dd9},{d9}} is non empty set
dom d9 is Element of the carrier of D
the Source of D . d9 is Element of the carrier of D
dom dd9 is Element of the carrier of C
the Source of C . dd9 is Element of the carrier of C
id (dom dd9) is Morphism of dom dd9, dom dd9
id (dom d9) is Morphism of dom d9, dom d9
( the carrier of D,C,C9,(C,C9),T,(dom d9)) is Relation-like the carrier' of C -defined the carrier' of C9 -valued Function-like quasi_total (C,C9,(C,C9))
( the carrier of D,C,C9,(C,C9),T,(dom d9)) . dd9 is Element of the carrier' of C9
dom (( the carrier of D,C,C9,(C,C9),T,(dom d9)) . dd9) is Element of the carrier of C9
the Source of C9 . (( the carrier of D,C,C9,(C,C9),T,(dom d9)) . dd9) is Element of the carrier of C9
Hom ((dom (( the carrier of D,C,C9,(C,C9),T,(dom d9)) . dd9)),(dom (( the carrier of D,C,C9,(C,C9),T,(dom d9)) . dd9))) is non empty Element of bool the carrier' of C9
bool the carrier' of C9 is non empty set
{ b₁ where b₁ is Element of the carrier' of C9 : ( dom b₁ = dom (( the carrier of D,C,C9,(C,C9),T,(dom d9)) . dd9) & cod b₁ = dom (( the carrier of D,C,C9,(C,C9),T,(dom d9)) . dd9) ) } is set
cod dd9 is Element of the carrier of C
the Target of C . dd9 is Element of the carrier of C
( the carrier of C,D,C9,(D,C9),D9,(cod dd9)) is Relation-like the carrier' of D -defined the carrier' of C9 -valued Function-like quasi_total (D,C9,(D,C9))
( the carrier of C,D,C9,(D,C9),D9,(cod dd9)) . d9 is Element of the carrier' of C9
dom (( the carrier of C,D,C9,(D,C9),D9,(cod dd9)) . d9) is Element of the carrier of C9
the Source of C9 . (( the carrier of C,D,C9,(D,C9),D9,(cod dd9)) . d9) is Element of the carrier of C9
id (dom (( the carrier of C,D,C9,(D,C9),D9,(cod dd9)) . d9)) is Morphism of dom (( the carrier of C,D,C9,(D,C9),D9,(cod dd9)) . d9), dom (( the carrier of C,D,C9,(D,C9),D9,(cod dd9)) . d9)
( the carrier of C,D,C9,(D,C9),D9,(cod dd9)) . (id (dom d9)) is Element of the carrier' of C9
id (cod dd9) is Morphism of cod dd9, cod dd9
( the carrier of D,C,C9,(C,C9),T,(dom d9)) . (id (cod dd9)) is Element of the carrier' of C9
cod (( the carrier of D,C,C9,(C,C9),T,(dom d9)) . dd9) is Element of the carrier of C9
the Target of C9 . (( the carrier of D,C,C9,(C,C9),T,(dom d9)) . dd9) is Element of the carrier of C9
id (cod (( the carrier of D,C,C9,(C,C9),T,(dom d9)) . dd9)) is Morphism of cod (( the carrier of D,C,C9,(C,C9),T,(dom d9)) . dd9), cod (( the carrier of D,C,C9,(C,C9),T,(dom d9)) . dd9)
(D,C,(dom d9),(dom dd9)) is V15() Element of the carrier of (D,C)
{(dom d9),(dom dd9)} is non empty set
{(dom d9)} is non empty set
{{(dom d9),(dom dd9)},{(dom d9)}} is non empty set
id (D,C,(dom d9),(dom dd9)) is Morphism of (D,C,(dom d9),(dom dd9)),(D,C,(dom d9),(dom dd9))
T9 . (id (D,C,(dom d9),(dom dd9))) is set
T9 . ((id (dom d9)),(id (dom dd9))) is Element of H₁(C9)
[(id (dom d9)),(id (dom dd9))] is V15() set
{(id (dom d9)),(id (dom dd9))} is non empty set
{(id (dom d9))} is non empty set
{{(id (dom d9)),(id (dom dd9))},{(id (dom d9))}} is non empty set
T9 . [(id (dom d9)),(id (dom dd9))] is set
dom (id (dom d9)) is Element of the carrier of D
the Source of D . (id (dom d9)) is Element of the carrier of D
( the carrier of D,C,C9,(C,C9),T,(dom (id (dom d9)))) is Relation-like the carrier' of C -defined the carrier' of C9 -valued Function-like quasi_total (C,C9,(C,C9))
( the carrier of D,C,C9,(C,C9),T,(dom (id (dom d9)))) . (id (dom dd9)) is Element of the carrier' of C9
cod (id (dom dd9)) is Element of the carrier of C
the Target of C . (id (dom dd9)) is Element of the carrier of C
( the carrier of C,D,C9,(D,C9),D9,(cod (id (dom dd9)))) is Relation-like the carrier' of D -defined the carrier' of C9 -valued Function-like quasi_total (D,C9,(D,C9))
( the carrier of C,D,C9,(D,C9),D9,(cod (id (dom dd9)))) . (id (dom d9)) is Element of the carrier' of C9
(( the carrier of C,D,C9,(D,C9),D9,(cod (id (dom dd9)))) . (id (dom d9))) (*) (( the carrier of D,C,C9,(C,C9),T,(dom (id (dom d9)))) . (id (dom dd9))) is Element of the carrier' of C9
( the carrier of C,D,C9,(D,C9),D9,(dom dd9)) is Relation-like the carrier' of D -defined the carrier' of C9 -valued Function-like quasi_total (D,C9,(D,C9))
( the carrier of C,D,C9,(D,C9),D9,(dom dd9)) . (id (dom d9)) is Element of the carrier' of C9
(( the carrier of C,D,C9,(D,C9),D9,(dom dd9)) . (id (dom d9))) (*) (( the carrier of D,C,C9,(C,C9),T,(dom (id (dom d9)))) . (id (dom dd9))) is Element of the carrier' of C9
( the carrier of D,C,C9,(C,C9),T,(dom d9)) . (id (dom dd9)) is Element of the carrier' of C9
(( the carrier of C,D,C9,(D,C9),D9,(dom dd9)) . (id (dom d9))) (*) (( the carrier of D,C,C9,(C,C9),T,(dom d9)) . (id (dom dd9))) is Element of the carrier' of C9
(( the carrier of D,C,C9,(C,C9),T,(dom d9)) . (id (dom dd9))) (*) (( the carrier of D,C,C9,(C,C9),T,(dom d9)) . (id (dom dd9))) is Element of the carrier' of C9
id (dom (( the carrier of D,C,C9,(C,C9),T,(dom d9)) . dd9)) is Morphism of dom (( the carrier of D,C,C9,(C,C9),T,(dom d9)) . dd9), dom (( the carrier of D,C,C9,(C,C9),T,(dom d9)) . dd9)
(id (dom (( the carrier of D,C,C9,(C,C9),T,(dom d9)) . dd9))) (*) (( the carrier of D,C,C9,(C,C9),T,(dom d9)) . (id (dom dd9))) is Element of the carrier' of C9
(id (dom (( the carrier of D,C,C9,(C,C9),T,(dom d9)) . dd9))) (*) (id (dom (( the carrier of D,C,C9,(C,C9),T,(dom d9)) . dd9))) is Element of the carrier' of C9
(id (dom (( the carrier of D,C,C9,(C,C9),T,(dom d9)) . dd9))) * (id (dom (( the carrier of D,C,C9,(C,C9),T,(dom d9)) . dd9))) is Morphism of dom (( the carrier of D,C,C9,(C,C9),T,(dom d9)) . dd9), dom (( the carrier of D,C,C9,(C,C9),T,(dom d9)) . dd9)
(( the carrier of C,D,C9,(D,C9),D9,(cod dd9)) . d9) (*) (( the carrier of D,C,C9,(C,C9),T,(dom d9)) . dd9) is Element of the carrier' of C9
dom ((( the carrier of C,D,C9,(D,C9),D9,(cod dd9)) . d9) (*) (( the carrier of D,C,C9,(C,C9),T,(dom d9)) . dd9)) is Element of the carrier of C9
the Source of C9 . ((( the carrier of C,D,C9,(D,C9),D9,(cod dd9)) . d9) (*) (( the carrier of D,C,C9,(C,C9),T,(dom d9)) . dd9)) is Element of the carrier of C9
id (dom ((( the carrier of C,D,C9,(D,C9),D9,(cod dd9)) . d9) (*) (( the carrier of D,C,C9,(C,C9),T,(dom d9)) . dd9))) is Morphism of dom ((( the carrier of C,D,C9,(D,C9),D9,(cod dd9)) . d9) (*) (( the carrier of D,C,C9,(C,C9),T,(dom d9)) . dd9)), dom ((( the carrier of C,D,C9,(D,C9),D9,(cod dd9)) . d9) (*) (( the carrier of D,C,C9,(C,C9),T,(dom d9)) . dd9))
T9 . (d9,dd9) is Element of H₁(C9)
[d9,dd9] is V15() set
T9 . [d9,dd9] is set
dom (T9 . (d9,dd9)) is Element of the carrier of C9
the Source of C9 . (T9 . (d9,dd9)) is Element of the carrier of C9
id (dom (T9 . (d9,dd9))) is Morphism of dom (T9 . (d9,dd9)), dom (T9 . (d9,dd9))
cod d9 is Element of the carrier of D
the Target of D . d9 is Element of the carrier of D
id (cod d9) is Morphism of cod d9, cod d9
cod (( the carrier of C,D,C9,(D,C9),D9,(cod dd9)) . d9) is Element of the carrier of C9
the Target of C9 . (( the carrier of C,D,C9,(D,C9),D9,(cod dd9)) . d9) is Element of the carrier of C9
Hom ((cod (( the carrier of C,D,C9,(D,C9),D9,(cod dd9)) . d9)),(cod (( the carrier of C,D,C9,(D,C9),D9,(cod dd9)) . d9))) is non empty Element of bool the carrier' of C9
{ b₁ where b₁ is Element of the carrier' of C9 : ( dom b₁ = cod (( the carrier of C,D,C9,(D,C9),D9,(cod dd9)) . d9) & cod b₁ = cod (( the carrier of C,D,C9,(D,C9),D9,(cod dd9)) . d9) ) } is set
(D,C,(cod d9),(cod dd9)) is V15() Element of the carrier of (D,C)
{(cod d9),(cod dd9)} is non empty set
{(cod d9)} is non empty set
{{(cod d9),(cod dd9)},{(cod d9)}} is non empty set
id (D,C,(cod d9),(cod dd9)) is Morphism of (D,C,(cod d9),(cod dd9)),(D,C,(cod d9),(cod dd9))
T9 . (id (D,C,(cod d9),(cod dd9))) is set
T9 . ((id (cod d9)),(id (cod dd9))) is Element of H₁(C9)
[(id (cod d9)),(id (cod dd9))] is V15() set
{(id (cod d9)),(id (cod dd9))} is non empty set
{(id (cod d9))} is non empty set
{{(id (cod d9)),(id (cod dd9))},{(id (cod d9))}} is non empty set
T9 . [(id (cod d9)),(id (cod dd9))] is set
dom (id (cod d9)) is Element of the carrier of D
the Source of D . (id (cod d9)) is Element of the carrier of D
( the carrier of D,C,C9,(C,C9),T,(dom (id (cod d9)))) is Relation-like the carrier' of C -defined the carrier' of C9 -valued Function-like quasi_total (C,C9,(C,C9))
( the carrier of D,C,C9,(C,C9),T,(dom (id (cod d9)))) . (id (cod dd9)) is Element of the carrier' of C9
cod (id (cod dd9)) is Element of the carrier of C
the Target of C . (id (cod dd9)) is Element of the carrier of C
( the carrier of C,D,C9,(D,C9),D9,(cod (id (cod dd9)))) is Relation-like the carrier' of D -defined the carrier' of C9 -valued Function-like quasi_total (D,C9,(D,C9))
( the carrier of C,D,C9,(D,C9),D9,(cod (id (cod dd9)))) . (id (cod d9)) is Element of the carrier' of C9
(( the carrier of C,D,C9,(D,C9),D9,(cod (id (cod dd9)))) . (id (cod d9))) (*) (( the carrier of D,C,C9,(C,C9),T,(dom (id (cod d9)))) . (id (cod dd9))) is Element of the carrier' of C9
( the carrier of C,D,C9,(D,C9),D9,(cod dd9)) . (id (cod d9)) is Element of the carrier' of C9
(( the carrier of C,D,C9,(D,C9),D9,(cod dd9)) . (id (cod d9))) (*) (( the carrier of D,C,C9,(C,C9),T,(dom (id (cod d9)))) . (id (cod dd9))) is Element of the carrier' of C9
( the carrier of D,C,C9,(C,C9),T,(cod d9)) is Relation-like the carrier' of C -defined the carrier' of C9 -valued Function-like quasi_total (C,C9,(C,C9))
( the carrier of D,C,C9,(C,C9),T,(cod d9)) . (id (cod dd9)) is Element of the carrier' of C9
(( the carrier of C,D,C9,(D,C9),D9,(cod dd9)) . (id (cod d9))) (*) (( the carrier of D,C,C9,(C,C9),T,(cod d9)) . (id (cod dd9))) is Element of the carrier' of C9
(( the carrier of C,D,C9,(D,C9),D9,(cod dd9)) . (id (cod d9))) (*) (( the carrier of C,D,C9,(D,C9),D9,(cod dd9)) . (id (cod d9))) is Element of the carrier' of C9
id (cod (( the carrier of C,D,C9,(D,C9),D9,(cod dd9)) . d9)) is Morphism of cod (( the carrier of C,D,C9,(D,C9),D9,(cod dd9)) . d9), cod (( the carrier of C,D,C9,(D,C9),D9,(cod dd9)) . d9)
(id (cod (( the carrier of C,D,C9,(D,C9),D9,(cod dd9)) . d9))) (*) (( the carrier of C,D,C9,(D,C9),D9,(cod dd9)) . (id (cod d9))) is Element of the carrier' of C9
(id (cod (( the carrier of C,D,C9,(D,C9),D9,(cod dd9)) . d9))) (*) (id (cod (( the carrier of C,D,C9,(D,C9),D9,(cod dd9)) . d9))) is Element of the carrier' of C9
(id (cod (( the carrier of C,D,C9,(D,C9),D9,(cod dd9)) . d9))) * (id (cod (( the carrier of C,D,C9,(D,C9),D9,(cod dd9)) . d9))) is Morphism of cod (( the carrier of C,D,C9,(D,C9),D9,(cod dd9)) . d9), cod (( the carrier of C,D,C9,(D,C9),D9,(cod dd9)) . d9)
cod ((( the carrier of C,D,C9,(D,C9),D9,(cod dd9)) . d9) (*) (( the carrier of D,C,C9,(C,C9),T,(dom d9)) . dd9)) is Element of the carrier of C9
the Target of C9 . ((( the carrier of C,D,C9,(D,C9),D9,(cod dd9)) . d9) (*) (( the carrier of D,C,C9,(C,C9),T,(dom d9)) . dd9)) is Element of the carrier of C9
id (cod ((( the carrier of C,D,C9,(D,C9),D9,(cod dd9)) . d9) (*) (( the carrier of D,C,C9,(C,C9),T,(dom d9)) . dd9))) is Morphism of cod ((( the carrier of C,D,C9,(D,C9),D9,(cod dd9)) . d9) (*) (( the carrier of D,C,C9,(C,C9),T,(dom d9)) . dd9)), cod ((( the carrier of C,D,C9,(D,C9),D9,(cod dd9)) . d9) (*) (( the carrier of D,C,C9,(C,C9),T,(dom d9)) . dd9))
cod (T9 . (d9,dd9)) is Element of the carrier of C9
the Target of C9 . (T9 . (d9,dd9)) is Element of the carrier of C9
id (cod (T9 . (d9,dd9))) is Morphism of cod (T9 . (d9,dd9)), cod (T9 . (d9,dd9))
d9 is Element of the carrier' of (D,C)
dom d9 is Element of the carrier of (D,C)
the Source of (D,C) is Relation-like the carrier' of (D,C) -defined the carrier of (D,C) -valued Function-like quasi_total Element of bool [: the carrier' of (D,C), the carrier of (D,C):]
[: the carrier' of (D,C), the carrier of (D,C):] is Relation-like non empty set
bool [: the carrier' of (D,C), the carrier of (D,C):] is non empty set
the Source of (D,C) . d9 is Element of the carrier of (D,C)
c9 is Element of the carrier' of (D,C)
cod c9 is Element of the carrier of (D,C)
the Target of (D,C) is Relation-like the carrier' of (D,C) -defined the carrier of (D,C) -valued Function-like quasi_total Element of bool [: the carrier' of (D,C), the carrier of (D,C):]
the Target of (D,C) . c9 is Element of the carrier of (D,C)
dd9 is Element of the carrier' of D
g1 is Element of the carrier' of C
(D,C,dd9,g1) is V15() Element of the carrier' of (D,C)
{dd9,g1} is non empty set
{dd9} is non empty set
{{dd9,g1},{dd9}} is non empty set
f2 is Element of the carrier' of D
g2 is Element of the carrier' of C
(D,C,f2,g2) is V15() Element of the carrier' of (D,C)
{f2,g2} is non empty set
{f2} is non empty set
{{f2,g2},{f2}} is non empty set
cod dd9 is Element of the carrier of D
the Target of D . dd9 is Element of the carrier of D
cod g1 is Element of the carrier of C
the Target of C . g1 is Element of the carrier of C
(D,C,(cod dd9),(cod g1)) is V15() Element of the carrier of (D,C)
{(cod dd9),(cod g1)} is non empty set
{(cod dd9)} is non empty set
{{(cod dd9),(cod g1)},{(cod dd9)}} is non empty set
( the carrier of C,D,C9,(D,C9),D9,(cod g1)) is Relation-like the carrier' of D -defined the carrier' of C9 -valued Function-like quasi_total (D,C9,(D,C9))
cod g2 is Element of the carrier of C
the Target of C . g2 is Element of the carrier of C
( the carrier of C,D,C9,(D,C9),D9,(cod g2)) is Relation-like the carrier' of D -defined the carrier' of C9 -valued Function-like quasi_total (D,C9,(D,C9))
dom dd9 is Element of the carrier of D
the Source of D . dd9 is Element of the carrier of D
( the carrier of D,C,C9,(C,C9),T,(dom dd9)) is Relation-like the carrier' of C -defined the carrier' of C9 -valued Function-like quasi_total (C,C9,(C,C9))
dom f2 is Element of the carrier of D
the Source of D . f2 is Element of the carrier of D
( the carrier of D,C,C9,(C,C9),T,(dom f2)) is Relation-like the carrier' of C -defined the carrier' of C9 -valued Function-like quasi_total (C,C9,(C,C9))
dom g2 is Element of the carrier of C
the Source of C . g2 is Element of the carrier of C
(D,C,(dom f2),(dom g2)) is V15() Element of the carrier of (D,C)
{(dom f2),(dom g2)} is non empty set
{(dom f2)} is non empty set
{{(dom f2),(dom g2)},{(dom f2)}} is non empty set
( the carrier of C,D,C9,(D,C9),D9,(cod g2)) . f2 is Element of the carrier' of C9
dom (( the carrier of C,D,C9,(D,C9),D9,(cod g2)) . f2) is Element of the carrier of C9
the Source of C9 is Relation-like the carrier' of C9 -defined the carrier of C9 -valued Function-like quasi_total Element of bool [: the carrier' of C9, the carrier of C9:]
[: the carrier' of C9, the carrier of C9:] is Relation-like non empty set
bool [: the carrier' of C9, the carrier of C9:] is non empty set
the Source of C9 . (( the carrier of C,D,C9,(D,C9),D9,(cod g2)) . f2) is Element of the carrier of C9
( the carrier of C,D,C9,(D,C9),D9,(cod g2)) . dd9 is Element of the carrier' of C9
cod (( the carrier of C,D,C9,(D,C9),D9,(cod g2)) . dd9) is Element of the carrier of C9
the Target of C9 is Relation-like the carrier' of C9 -defined the carrier of C9 -valued Function-like quasi_total Element of bool [: the carrier' of C9, the carrier of C9:]
the Target of C9 . (( the carrier of C,D,C9,(D,C9),D9,(cod g2)) . dd9) is Element of the carrier of C9
( the carrier of C,D,C9,(D,C9),D9,(cod g1)) . dd9 is Element of the carrier' of C9
dom (( the carrier of C,D,C9,(D,C9),D9,(cod g1)) . dd9) is Element of the carrier of C9
the Source of C9 . (( the carrier of C,D,C9,(D,C9),D9,(cod g1)) . dd9) is Element of the carrier of C9
id (dom (( the carrier of C,D,C9,(D,C9),D9,(cod g1)) . dd9)) is Morphism of dom (( the carrier of C,D,C9,(D,C9),D9,(cod g1)) . dd9), dom (( the carrier of C,D,C9,(D,C9),D9,(cod g1)) . dd9)
id (dom dd9) is Morphism of dom dd9, dom dd9
( the carrier of C,D,C9,(D,C9),D9,(cod g1)) . (id (dom dd9)) is Element of the carrier' of C9
id (cod g1) is Morphism of cod g1, cod g1
( the carrier of D,C,C9,(C,C9),T,(dom dd9)) . (id (cod g1)) is Element of the carrier' of C9
( the carrier of D,C,C9,(C,C9),T,(dom dd9)) . g1 is Element of the carrier' of C9
cod (( the carrier of D,C,C9,(C,C9),T,(dom dd9)) . g1) is Element of the carrier of C9
the Target of C9 . (( the carrier of D,C,C9,(C,C9),T,(dom dd9)) . g1) is Element of the carrier of C9
id (cod (( the carrier of D,C,C9,(C,C9),T,(dom dd9)) . g1)) is Morphism of cod (( the carrier of D,C,C9,(C,C9),T,(dom dd9)) . g1), cod (( the carrier of D,C,C9,(C,C9),T,(dom dd9)) . g1)
(( the carrier of C,D,C9,(D,C9),D9,(cod g1)) . dd9) (*) (( the carrier of D,C,C9,(C,C9),T,(dom dd9)) . g1) is Element of the carrier' of C9
cod ((( the carrier of C,D,C9,(D,C9),D9,(cod g1)) . dd9) (*) (( the carrier of D,C,C9,(C,C9),T,(dom dd9)) . g1)) is Element of the carrier of C9
the Target of C9 . ((( the carrier of C,D,C9,(D,C9),D9,(cod g1)) . dd9) (*) (( the carrier of D,C,C9,(C,C9),T,(dom dd9)) . g1)) is Element of the carrier of C9
cod (( the carrier of C,D,C9,(D,C9),D9,(cod g1)) . dd9) is Element of the carrier of C9
the Target of C9 . (( the carrier of C,D,C9,(D,C9),D9,(cod g1)) . dd9) is Element of the carrier of C9
( the carrier of D,C,C9,(C,C9),T,(dom dd9)) . g2 is Element of the carrier' of C9
dom (( the carrier of D,C,C9,(C,C9),T,(dom dd9)) . g2) is Element of the carrier of C9
the Source of C9 . (( the carrier of D,C,C9,(C,C9),T,(dom dd9)) . g2) is Element of the carrier of C9
(( the carrier of D,C,C9,(C,C9),T,(dom dd9)) . g2) (*) (( the carrier of D,C,C9,(C,C9),T,(dom dd9)) . g1) is Element of the carrier' of C9
cod ((( the carrier of D,C,C9,(C,C9),T,(dom dd9)) . g2) (*) (( the carrier of D,C,C9,(C,C9),T,(dom dd9)) . g1)) is Element of the carrier of C9
the Target of C9 . ((( the carrier of D,C,C9,(C,C9),T,(dom dd9)) . g2) (*) (( the carrier of D,C,C9,(C,C9),T,(dom dd9)) . g1)) is Element of the carrier of C9
cod (( the carrier of D,C,C9,(C,C9),T,(dom dd9)) . g2) is Element of the carrier of C9
the Target of C9 . (( the carrier of D,C,C9,(C,C9),T,(dom dd9)) . g2) is Element of the carrier of C9
( the carrier of D,C,C9,(C,C9),T,(dom f2)) . g2 is Element of the carrier' of C9
dom (( the carrier of D,C,C9,(C,C9),T,(dom f2)) . g2) is Element of the carrier of C9
the Source of C9 . (( the carrier of D,C,C9,(C,C9),T,(dom f2)) . g2) is Element of the carrier of C9
id (dom (( the carrier of D,C,C9,(C,C9),T,(dom f2)) . g2)) is Morphism of dom (( the carrier of D,C,C9,(C,C9),T,(dom f2)) . g2), dom (( the carrier of D,C,C9,(C,C9),T,(dom f2)) . g2)
id (dom g2) is Morphism of dom g2, dom g2
( the carrier of D,C,C9,(C,C9),T,(dom f2)) . (id (dom g2)) is Element of the carrier' of C9
id (cod dd9) is Morphism of cod dd9, cod dd9
( the carrier of C,D,C9,(D,C9),D9,(cod g1)) . (id (cod dd9)) is Element of the carrier' of C9
id (cod (( the carrier of C,D,C9,(D,C9),D9,(cod g1)) . dd9)) is Morphism of cod (( the carrier of C,D,C9,(D,C9),D9,(cod g1)) . dd9), cod (( the carrier of C,D,C9,(D,C9),D9,(cod g1)) . dd9)
id (dom (( the carrier of C,D,C9,(D,C9),D9,(cod g2)) . f2)) is Morphism of dom (( the carrier of C,D,C9,(D,C9),D9,(cod g2)) . f2), dom (( the carrier of C,D,C9,(D,C9),D9,(cod g2)) . f2)
id (dom f2) is Morphism of dom f2, dom f2
( the carrier of C,D,C9,(D,C9),D9,(cod g2)) . (id (dom f2)) is Element of the carrier' of C9
id (cod g2) is Morphism of cod g2, cod g2
( the carrier of D,C,C9,(C,C9),T,(dom f2)) . (id (cod g2)) is Element of the carrier' of C9
cod (( the carrier of D,C,C9,(C,C9),T,(dom f2)) . g2) is Element of the carrier of C9
the Target of C9 . (( the carrier of D,C,C9,(C,C9),T,(dom f2)) . g2) is Element of the carrier of C9
id (cod (( the carrier of D,C,C9,(C,C9),T,(dom f2)) . g2)) is Morphism of cod (( the carrier of D,C,C9,(C,C9),T,(dom f2)) . g2), cod (( the carrier of D,C,C9,(C,C9),T,(dom f2)) . g2)
f2 (*) dd9 is Element of the carrier' of D
g2 (*) g1 is Element of the carrier' of C
dom (( the carrier of C,D,C9,(D,C9),D9,(cod g2)) . dd9) is Element of the carrier of C9
the Source of C9 . (( the carrier of C,D,C9,(D,C9),D9,(cod g2)) . dd9) is Element of the carrier of C9
id (dom (( the carrier of C,D,C9,(D,C9),D9,(cod g2)) . dd9)) is Morphism of dom (( the carrier of C,D,C9,(D,C9),D9,(cod g2)) . dd9), dom (( the carrier of C,D,C9,(D,C9),D9,(cod g2)) . dd9)
( the carrier of C,D,C9,(D,C9),D9,(cod g2)) . (id (dom dd9)) is Element of the carrier' of C9
( the carrier of D,C,C9,(C,C9),T,(dom dd9)) . (id (cod g2)) is Element of the carrier' of C9
id (cod (( the carrier of D,C,C9,(C,C9),T,(dom dd9)) . g2)) is Morphism of cod (( the carrier of D,C,C9,(C,C9),T,(dom dd9)) . g2), cod (( the carrier of D,C,C9,(C,C9),T,(dom dd9)) . g2)
d9 (*) c9 is Element of the carrier' of (D,C)
c . (d9 (*) c9) is Element of H₁(C9)
T9 . ((f2 (*) dd9),(g2 (*) g1)) is Element of H₁(C9)
[(f2 (*) dd9),(g2 (*) g1)] is V15() set
{(f2 (*) dd9),(g2 (*) g1)} is non empty set
{(f2 (*) dd9)} is non empty set
{{(f2 (*) dd9),(g2 (*) g1)},{(f2 (*) dd9)}} is non empty set
T9 . [(f2 (*) dd9),(g2 (*) g1)] is set
dom (f2 (*) dd9) is Element of the carrier of D
the Source of D . (f2 (*) dd9) is Element of the carrier of D
( the carrier of D,C,C9,(C,C9),T,(dom (f2 (*) dd9))) is Relation-like the carrier' of C -defined the carrier' of C9 -valued Function-like quasi_total (C,C9,(C,C9))
( the carrier of D,C,C9,(C,C9),T,(dom (f2 (*) dd9))) . (g2 (*) g1) is Element of the carrier' of C9
cod (g2 (*) g1) is Element of the carrier of C
the Target of C . (g2 (*) g1) is Element of the carrier of C
( the carrier of C,D,C9,(D,C9),D9,(cod (g2 (*) g1))) is Relation-like the carrier' of D -defined the carrier' of C9 -valued Function-like quasi_total (D,C9,(D,C9))
( the carrier of C,D,C9,(D,C9),D9,(cod (g2 (*) g1))) . (f2 (*) dd9) is Element of the carrier' of C9
(( the carrier of C,D,C9,(D,C9),D9,(cod (g2 (*) g1))) . (f2 (*) dd9)) (*) (( the carrier of D,C,C9,(C,C9),T,(dom (f2 (*) dd9))) . (g2 (*) g1)) is Element of the carrier' of C9
( the carrier of C,D,C9,(D,C9),D9,(cod g2)) . (f2 (*) dd9) is Element of the carrier' of C9
(( the carrier of C,D,C9,(D,C9),D9,(cod g2)) . (f2 (*) dd9)) (*) (( the carrier of D,C,C9,(C,C9),T,(dom (f2 (*) dd9))) . (g2 (*) g1)) is Element of the carrier' of C9
( the carrier of D,C,C9,(C,C9),T,(dom dd9)) . (g2 (*) g1) is Element of the carrier' of C9
(( the carrier of C,D,C9,(D,C9),D9,(cod g2)) . (f2 (*) dd9)) (*) (( the carrier of D,C,C9,(C,C9),T,(dom dd9)) . (g2 (*) g1)) is Element of the carrier' of C9
(( the carrier of C,D,C9,(D,C9),D9,(cod g2)) . f2) (*) (( the carrier of C,D,C9,(D,C9),D9,(cod g2)) . dd9) is Element of the carrier' of C9
((( the carrier of C,D,C9,(D,C9),D9,(cod g2)) . f2) (*) (( the carrier of C,D,C9,(D,C9),D9,(cod g2)) . dd9)) (*) (( the carrier of D,C,C9,(C,C9),T,(dom dd9)) . (g2 (*) g1)) is Element of the carrier' of C9
((( the carrier of C,D,C9,(D,C9),D9,(cod g2)) . f2) (*) (( the carrier of C,D,C9,(D,C9),D9,(cod g2)) . dd9)) (*) ((( the carrier of D,C,C9,(C,C9),T,(dom dd9)) . g2) (*) (( the carrier of D,C,C9,(C,C9),T,(dom dd9)) . g1)) is Element of the carrier' of C9
(( the carrier of C,D,C9,(D,C9),D9,(cod g2)) . dd9) (*) ((( the carrier of D,C,C9,(C,C9),T,(dom dd9)) . g2) (*) (( the carrier of D,C,C9,(C,C9),T,(dom dd9)) . g1)) is Element of the carrier' of C9
(( the carrier of C,D,C9,(D,C9),D9,(cod g2)) . f2) (*) ((( the carrier of C,D,C9,(D,C9),D9,(cod g2)) . dd9) (*) ((( the carrier of D,C,C9,(C,C9),T,(dom dd9)) . g2) (*) (( the carrier of D,C,C9,(C,C9),T,(dom dd9)) . g1))) is Element of the carrier' of C9
(( the carrier of C,D,C9,(D,C9),D9,(cod g2)) . dd9) (*) (( the carrier of D,C,C9,(C,C9),T,(dom dd9)) . g2) is Element of the carrier' of C9
((( the carrier of C,D,C9,(D,C9),D9,(cod g2)) . dd9) (*) (( the carrier of D,C,C9,(C,C9),T,(dom dd9)) . g2)) (*) (( the carrier of D,C,C9,(C,C9),T,(dom dd9)) . g1) is Element of the carrier' of C9
(( the carrier of C,D,C9,(D,C9),D9,(cod g2)) . f2) (*) (((( the carrier of C,D,C9,(D,C9),D9,(cod g2)) . dd9) (*) (( the carrier of D,C,C9,(C,C9),T,(dom dd9)) . g2)) (*) (( the carrier of D,C,C9,(C,C9),T,(dom dd9)) . g1)) is Element of the carrier' of C9
(( the carrier of D,C,C9,(C,C9),T,(dom f2)) . g2) (*) (( the carrier of C,D,C9,(D,C9),D9,(cod g1)) . dd9) is Element of the carrier' of C9
((( the carrier of D,C,C9,(C,C9),T,(dom f2)) . g2) (*) (( the carrier of C,D,C9,(D,C9),D9,(cod g1)) . dd9)) (*) (( the carrier of D,C,C9,(C,C9),T,(dom dd9)) . g1) is Element of the carrier' of C9
(( the carrier of C,D,C9,(D,C9),D9,(cod g2)) . f2) (*) (((( the carrier of D,C,C9,(C,C9),T,(dom f2)) . g2) (*) (( the carrier of C,D,C9,(D,C9),D9,(cod g1)) . dd9)) (*) (( the carrier of D,C,C9,(C,C9),T,(dom dd9)) . g1)) is Element of the carrier' of C9
(( the carrier of D,C,C9,(C,C9),T,(dom f2)) . g2) (*) ((( the carrier of C,D,C9,(D,C9),D9,(cod g1)) . dd9) (*) (( the carrier of D,C,C9,(C,C9),T,(dom dd9)) . g1)) is Element of the carrier' of C9
(( the carrier of C,D,C9,(D,C9),D9,(cod g2)) . f2) (*) ((( the carrier of D,C,C9,(C,C9),T,(dom f2)) . g2) (*) ((( the carrier of C,D,C9,(D,C9),D9,(cod g1)) . dd9) (*) (( the carrier of D,C,C9,(C,C9),T,(dom dd9)) . g1))) is Element of the carrier' of C9
(( the carrier of C,D,C9,(D,C9),D9,(cod g2)) . f2) (*) (( the carrier of D,C,C9,(C,C9),T,(dom f2)) . g2) is Element of the carrier' of C9
((( the carrier of C,D,C9,(D,C9),D9,(cod g2)) . f2) (*) (( the carrier of D,C,C9,(C,C9),T,(dom f2)) . g2)) (*) ((( the carrier of C,D,C9,(D,C9),D9,(cod g1)) . dd9) (*) (( the carrier of D,C,C9,(C,C9),T,(dom dd9)) . g1)) is Element of the carrier' of C9
T9 . (dd9,g1) is Element of H₁(C9)
[dd9,g1] is V15() set
T9 . [dd9,g1] is set
((( the carrier of C,D,C9,(D,C9),D9,(cod g2)) . f2) (*) (( the carrier of D,C,C9,(C,C9),T,(dom f2)) . g2)) (*) (T9 . (dd9,g1)) is Element of the carrier' of C9
c . c9 is Element of H₁(C9)
T9 . (f2,g2) is Element of H₁(C9)
[f2,g2] is V15() set
T9 . [f2,g2] is set
(T9 . (f2,g2)) (*) (c . c9) is Element of the carrier' of C9
c . d9 is Element of H₁(C9)
(c . d9) (*) (c . c9) is Element of the carrier' of C9
c9 is Relation-like the carrier' of (D,C) -defined the carrier' of C9 -valued Function-like quasi_total Functor of (D,C),C9
d9 is Element of the carrier' of D
dd9 is Element of the carrier' of C
(D,C,C9,c9,d9,dd9) is Element of the carrier' of C9
[d9,dd9] is V15() set
{d9,dd9} is non empty set
{d9} is non empty set
{{d9,dd9},{d9}} is non empty set
c9 . [d9,dd9] is set
dom d9 is Element of the carrier of D
the Source of D . d9 is Element of the carrier of D
( the carrier of D,C,C9,(C,C9),T,(dom d9)) is Relation-like the carrier' of C -defined the carrier' of C9 -valued Function-like quasi_total (C,C9,(C,C9))
( the carrier of D,C,C9,(C,C9),T,(dom d9)) . dd9 is Element of the carrier' of C9
cod dd9 is Element of the carrier of C
the Target of C . dd9 is Element of the carrier of C
( the carrier of C,D,C9,(D,C9),D9,(cod dd9)) is Relation-like the carrier' of D -defined the carrier' of C9 -valued Function-like quasi_total (D,C9,(D,C9))
( the carrier of C,D,C9,(D,C9),D9,(cod dd9)) . d9 is Element of the carrier' of C9
(( the carrier of C,D,C9,(D,C9),D9,(cod dd9)) . d9) (*) (( the carrier of D,C,C9,(C,C9),T,(dom d9)) . dd9) is Element of the carrier' of C9
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of C is non empty set
the carrier' of C is non empty set
D is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of D is non empty set
(D,C) is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
[: the carrier of D, the carrier of C:] is Relation-like non empty set
the carrier' of D is non empty set
[: the carrier' of D, the carrier' of C:] is Relation-like non empty set
the Source of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
[: the carrier' of D, the carrier of D:] is Relation-like non empty set
bool [: the carrier' of D, the carrier of D:] is non empty set
the Source of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
[: the carrier' of C, the carrier of C:] is Relation-like non empty set
bool [: the carrier' of C, the carrier of C:] is non empty set
( the carrier' of D, the carrier' of C, the carrier of D, the carrier of C, the Source of D, the Source of C) is Relation-like [: the carrier' of D, the carrier' of C:] -defined [: the carrier of D, the carrier of C:] -valued Function-like quasi_total Element of bool [:[: the carrier' of D, the carrier' of C:],[: the carrier of D, the carrier of C:]:]
[:[: the carrier' of D, the carrier' of C:],[: the carrier of D, the carrier of C:]:] is Relation-like non empty set
bool [:[: the carrier' of D, the carrier' of C:],[: the carrier of D, the carrier of C:]:] is non empty set
the Target of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
the Target of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
( the carrier' of D, the carrier' of C, the carrier of D, the carrier of C, the Target of D, the Target of C) is Relation-like [: the carrier' of D, the carrier' of C:] -defined [: the carrier of D, the carrier of C:] -valued Function-like quasi_total Element of bool [:[: the carrier' of D, the carrier' of C:],[: the carrier of D, the carrier of C:]:]
the Comp of D is Relation-like [: the carrier' of D, the carrier' of D:] -defined the carrier' of D -valued Function-like Element of bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:]
[: the carrier' of D, the carrier' of D:] is Relation-like non empty set
[:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is Relation-like non empty set
bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is non empty set
the Comp of C is Relation-like [: the carrier' of C, the carrier' of C:] -defined the carrier' of C -valued Function-like Element of bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:]
[: the carrier' of C, the carrier' of C:] is Relation-like non empty set
[:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is non empty set
( the carrier' of D, the carrier' of C, the Comp of D, the Comp of C) is Relation-like [:[: the carrier' of D, the carrier' of C:],[: the carrier' of D, the carrier' of C:]:] -defined [: the carrier' of D, the carrier' of C:] -valued Function-like Element of bool [:[:[: the carrier' of D, the carrier' of C:],[: the carrier' of D, the carrier' of C:]:],[: the carrier' of D, the carrier' of C:]:]
[:[: the carrier' of D, the carrier' of C:],[: the carrier' of D, the carrier' of C:]:] is Relation-like non empty set
[:[:[: the carrier' of D, the carrier' of C:],[: the carrier' of D, the carrier' of C:]:],[: the carrier' of D, the carrier' of C:]:] is Relation-like non empty set
bool [:[:[: the carrier' of D, the carrier' of C:],[: the carrier' of D, the carrier' of C:]:],[: the carrier' of D, the carrier' of C:]:] is non empty set
CatStr(# [: the carrier of D, the carrier of C:],[: the carrier' of D, the carrier' of C:],( the carrier' of D, the carrier' of C, the carrier of D, the carrier of C, the Source of D, the Source of C),( the carrier' of D, the carrier' of C, the carrier of D, the carrier of C, the Target of D, the Target of C),( the carrier' of D, the carrier' of C, the Comp of D, the Comp of C) #) is non empty non void V55() strict CatStr
the carrier' of (D,C) is non empty set
C9 is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
(D,C9) is non empty (D,C9)
[: the carrier of C,(D,C9):] is Relation-like non empty set
bool [: the carrier of C,(D,C9):] is non empty set
(C,C9) is non empty (C,C9)
[: the carrier of D,(C,C9):] is Relation-like non empty set
bool [: the carrier of D,(C,C9):] is non empty set
the carrier' of C9 is non empty set
D9 is Relation-like the carrier of C -defined (D,C9) -valued Function-like quasi_total Element of bool [: the carrier of C,(D,C9):]
T is Relation-like the carrier of D -defined (C,C9) -valued Function-like quasi_total Element of bool [: the carrier of D,(C,C9):]
T9 is Relation-like the carrier' of (D,C) -defined the carrier' of C9 -valued Function-like quasi_total Functor of (D,C),C9
c is Element of the carrier' of D
cod c is Element of the carrier of D
the Target of D . c is Element of the carrier of D
( the carrier of D,C,C9,(C,C9),T,(cod c)) is Relation-like the carrier' of C -defined the carrier' of C9 -valued Function-like quasi_total (C,C9,(C,C9))
dom c is Element of the carrier of D
the Source of D . c is Element of the carrier of D
( the carrier of D,C,C9,(C,C9),T,(dom c)) is Relation-like the carrier' of C -defined the carrier' of C9 -valued Function-like quasi_total (C,C9,(C,C9))
c9 is Element of the carrier' of C
dom c9 is Element of the carrier of C
the Source of C . c9 is Element of the carrier of C
( the carrier of C,D,C9,(D,C9),D9,(dom c9)) is Relation-like the carrier' of D -defined the carrier' of C9 -valued Function-like quasi_total (D,C9,(D,C9))
( the carrier of C,D,C9,(D,C9),D9,(dom c9)) . c is Element of the carrier' of C9
( the carrier of D,C,C9,(C,C9),T,(cod c)) . c9 is Element of the carrier' of C9
(( the carrier of D,C,C9,(C,C9),T,(cod c)) . c9) (*) (( the carrier of C,D,C9,(D,C9),D9,(dom c9)) . c) is Element of the carrier' of C9
( the carrier of D,C,C9,(C,C9),T,(dom c)) . c9 is Element of the carrier' of C9
cod c9 is Element of the carrier of C
the Target of C . c9 is Element of the carrier of C
( the carrier of C,D,C9,(D,C9),D9,(cod c9)) is Relation-like the carrier' of D -defined the carrier' of C9 -valued Function-like quasi_total (D,C9,(D,C9))
( the carrier of C,D,C9,(D,C9),D9,(cod c9)) . c is Element of the carrier' of C9
(( the carrier of C,D,C9,(D,C9),D9,(cod c9)) . c) (*) (( the carrier of D,C,C9,(C,C9),T,(dom c)) . c9) is Element of the carrier' of C9
id (cod c) is Morphism of cod c, cod c
dom (id (cod c)) is Element of the carrier of D
the Source of D . (id (cod c)) is Element of the carrier of D
(D,C,(id (cod c)),c9) is V15() Element of the carrier' of (D,C)
{(id (cod c)),c9} is non empty set
{(id (cod c))} is non empty set
{{(id (cod c)),c9},{(id (cod c))}} is non empty set
dom (D,C,(id (cod c)),c9) is Element of the carrier of (D,C)
the carrier of (D,C) is non empty set
the Source of (D,C) is Relation-like the carrier' of (D,C) -defined the carrier of (D,C) -valued Function-like quasi_total Element of bool [: the carrier' of (D,C), the carrier of (D,C):]
[: the carrier' of (D,C), the carrier of (D,C):] is Relation-like non empty set
bool [: the carrier' of (D,C), the carrier of (D,C):] is non empty set
the Source of (D,C) . (D,C,(id (cod c)),c9) is Element of the carrier of (D,C)
(D,C,(cod c),(dom c9)) is V15() Element of the carrier of (D,C)
{(cod c),(dom c9)} is non empty set
{(cod c)} is non empty set
{{(cod c),(dom c9)},{(cod c)}} is non empty set
id (dom c9) is Morphism of dom c9, dom c9
cod (id (dom c9)) is Element of the carrier of C
the Target of C . (id (dom c9)) is Element of the carrier of C
(D,C,c,(id (dom c9))) is V15() Element of the carrier' of (D,C)
{c,(id (dom c9))} is non empty set
{c} is non empty set
{{c,(id (dom c9))},{c}} is non empty set
cod (D,C,c,(id (dom c9))) is Element of the carrier of (D,C)
the Target of (D,C) is Relation-like the carrier' of (D,C) -defined the carrier of (D,C) -valued Function-like quasi_total Element of bool [: the carrier' of (D,C), the carrier of (D,C):]
the Target of (D,C) . (D,C,c,(id (dom c9))) is Element of the carrier of (D,C)
id (dom c) is Morphism of dom c, dom c
cod (id (dom c)) is Element of the carrier of D
the Target of D . (id (dom c)) is Element of the carrier of D
(D,C,(id (dom c)),c9) is V15() Element of the carrier' of (D,C)
{(id (dom c)),c9} is non empty set
{(id (dom c))} is non empty set
{{(id (dom c)),c9},{(id (dom c))}} is non empty set
cod (D,C,(id (dom c)),c9) is Element of the carrier of (D,C)
the Target of (D,C) . (D,C,(id (dom c)),c9) is Element of the carrier of (D,C)
(D,C,(dom c),(cod c9)) is V15() Element of the carrier of (D,C)
{(dom c),(cod c9)} is non empty set
{(dom c)} is non empty set
{{(dom c),(cod c9)},{(dom c)}} is non empty set
id (cod c9) is Morphism of cod c9, cod c9
dom (id (cod c9)) is Element of the carrier of C
the Source of C . (id (cod c9)) is Element of the carrier of C
(D,C,c,(id (cod c9))) is V15() Element of the carrier' of (D,C)
{c,(id (cod c9))} is non empty set
{{c,(id (cod c9))},{c}} is non empty set
dom (D,C,c,(id (cod c9))) is Element of the carrier of (D,C)
the Source of (D,C) . (D,C,c,(id (cod c9))) is Element of the carrier of (D,C)
(D,C,C9,T9,(cod c)) is Relation-like the carrier' of C -defined the carrier' of C9 -valued Function-like quasi_total Functor of C,C9
curry T9 is Relation-like Function-like set
(curry T9) . (id (cod c)) is set
(D,C,C9,T9,(cod c)) . c9 is Element of the carrier' of C9
((D,C,C9,T9,(cod c)) . c9) (*) (( the carrier of C,D,C9,(D,C9),D9,(dom c9)) . c) is Element of the carrier' of C9
(D,C,C9,T9,(dom c9)) is Relation-like the carrier' of D -defined the carrier' of C9 -valued Function-like quasi_total Functor of D,C9
curry' T9 is Relation-like Function-like set
(curry' T9) . (id (dom c9)) is set
(D,C,C9,T9,(dom c9)) . c is Element of the carrier' of C9
((D,C,C9,T9,(cod c)) . c9) (*) ((D,C,C9,T9,(dom c9)) . c) is Element of the carrier' of C9
(D,C,C9,T9,(id (cod c)),c9) is Element of the carrier' of C9
[(id (cod c)),c9] is V15() set
T9 . [(id (cod c)),c9] is set
(D,C,C9,T9,(id (cod c)),c9) (*) ((D,C,C9,T9,(dom c9)) . c) is Element of the carrier' of C9
(D,C,C9,T9,c,(id (dom c9))) is Element of the carrier' of C9
[c,(id (dom c9))] is V15() set
T9 . [c,(id (dom c9))] is set
(D,C,C9,T9,(id (cod c)),c9) (*) (D,C,C9,T9,c,(id (dom c9))) is Element of the carrier' of C9
(D,C,(id (cod c)),c9) (*) (D,C,c,(id (dom c9))) is Element of the carrier' of (D,C)
T9 . ((D,C,(id (cod c)),c9) (*) (D,C,c,(id (dom c9)))) is Element of the carrier' of C9
(id (cod c)) (*) c is Element of the carrier' of D
c9 (*) (id (dom c9)) is Element of the carrier' of C
(D,C,((id (cod c)) (*) c),(c9 (*) (id (dom c9)))) is V15() Element of the carrier' of (D,C)
{((id (cod c)) (*) c),(c9 (*) (id (dom c9)))} is non empty set
{((id (cod c)) (*) c)} is non empty set
{{((id (cod c)) (*) c),(c9 (*) (id (dom c9)))},{((id (cod c)) (*) c)}} is non empty set
T9 . (D,C,((id (cod c)) (*) c),(c9 (*) (id (dom c9)))) is Element of the carrier' of C9
(D,C,c,(c9 (*) (id (dom c9)))) is V15() Element of the carrier' of (D,C)
{c,(c9 (*) (id (dom c9)))} is non empty set
{{c,(c9 (*) (id (dom c9)))},{c}} is non empty set
T9 . (D,C,c,(c9 (*) (id (dom c9)))) is Element of the carrier' of C9
(D,C,c,c9) is V15() Element of the carrier' of (D,C)
{c,c9} is non empty set
{{c,c9},{c}} is non empty set
T9 . (D,C,c,c9) is Element of the carrier' of C9
c (*) (id (dom c)) is Element of the carrier' of D
(D,C,(c (*) (id (dom c))),c9) is V15() Element of the carrier' of (D,C)
{(c (*) (id (dom c))),c9} is non empty set
{(c (*) (id (dom c)))} is non empty set
{{(c (*) (id (dom c))),c9},{(c (*) (id (dom c)))}} is non empty set
T9 . (D,C,(c (*) (id (dom c))),c9) is Element of the carrier' of C9
(id (cod c9)) (*) c9 is Element of the carrier' of C
(D,C,(c (*) (id (dom c))),((id (cod c9)) (*) c9)) is V15() Element of the carrier' of (D,C)
{(c (*) (id (dom c))),((id (cod c9)) (*) c9)} is non empty set
{{(c (*) (id (dom c))),((id (cod c9)) (*) c9)},{(c (*) (id (dom c)))}} is non empty set
T9 . (D,C,(c (*) (id (dom c))),((id (cod c9)) (*) c9)) is Element of the carrier' of C9
(D,C,c,(id (cod c9))) (*) (D,C,(id (dom c)),c9) is Element of the carrier' of (D,C)
T9 . ((D,C,c,(id (cod c9))) (*) (D,C,(id (dom c)),c9)) is Element of the carrier' of C9
T9 . (D,C,(id (dom c)),c9) is Element of the carrier' of C9
(D,C,C9,T9,c,(id (cod c9))) is Element of the carrier' of C9
[c,(id (cod c9))] is V15() set
T9 . [c,(id (cod c9))] is set
(D,C,C9,T9,c,(id (cod c9))) (*) (T9 . (D,C,(id (dom c)),c9)) is Element of the carrier' of C9
(D,C,C9,T9,(id (dom c)),c9) is Element of the carrier' of C9
[(id (dom c)),c9] is V15() set
T9 . [(id (dom c)),c9] is set
(D,C,C9,T9,(cod c9)) is Relation-like the carrier' of D -defined the carrier' of C9 -valued Function-like quasi_total Functor of D,C9
(curry' T9) . (id (cod c9)) is set
(D,C,C9,T9,(cod c9)) . c is Element of the carrier' of C9
((D,C,C9,T9,(cod c9)) . c) (*) (D,C,C9,T9,(id (dom c)),c9) is Element of the carrier' of C9
(D,C,C9,T9,(dom c)) is Relation-like the carrier' of C -defined the carrier' of C9 -valued Function-like quasi_total Functor of C,C9
(curry T9) . (id (dom c)) is set
(D,C,C9,T9,(dom c)) . c9 is Element of the carrier' of C9
((D,C,C9,T9,(cod c9)) . c) (*) ((D,C,C9,T9,(dom c)) . c9) is Element of the carrier' of C9
(( the carrier of C,D,C9,(D,C9),D9,(cod c9)) . c) (*) ((D,C,C9,T9,(dom c)) . c9) is Element of the carrier' of C9
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of C is non empty set
D is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of D is non empty set
pr1 ( the carrier' of C, the carrier' of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined the carrier' of C -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:], the carrier' of C:]
[: the carrier' of C, the carrier' of D:] is Relation-like non empty set
[:[: the carrier' of C, the carrier' of D:], the carrier' of C:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of D:], the carrier' of C:] is non empty set
(C,D) is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of C is non empty set
the carrier of D is non empty set
[: the carrier of C, the carrier of D:] is Relation-like non empty set
the Source of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
[: the carrier' of C, the carrier of C:] is Relation-like non empty set
bool [: the carrier' of C, the carrier of C:] is non empty set
the Source of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
[: the carrier' of D, the carrier of D:] is Relation-like non empty set
bool [: the carrier' of D, the carrier of D:] is non empty set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is non empty set
the Target of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
the Target of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
the Comp of C is Relation-like [: the carrier' of C, the carrier' of C:] -defined the carrier' of C -valued Function-like Element of bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:]
[: the carrier' of C, the carrier' of C:] is Relation-like non empty set
[:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is non empty set
the Comp of D is Relation-like [: the carrier' of D, the carrier' of D:] -defined the carrier' of D -valued Function-like Element of bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:]
[: the carrier' of D, the carrier' of D:] is Relation-like non empty set
[:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is Relation-like non empty set
bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is non empty set
( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) is Relation-like [:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] -defined [: the carrier' of C, the carrier' of D:] -valued Function-like Element of bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
[:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is non empty set
CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is non empty non void V55() strict CatStr
the carrier' of (C,D) is non empty set
[: the carrier' of (C,D), the carrier' of C:] is Relation-like non empty set
bool [: the carrier' of (C,D), the carrier' of C:] is non empty set
the carrier of (C,D) is non empty set
C9 is Relation-like the carrier' of (C,D) -defined the carrier' of C -valued Function-like quasi_total Element of bool [: the carrier' of (C,D), the carrier' of C:]
D9 is Element of the carrier of (C,D)
id D9 is Morphism of D9,D9
C9 . (id D9) is Element of the carrier' of C
T is Element of the carrier of C
T9 is Element of the carrier of D
(C,D,T,T9) is V15() Element of the carrier of (C,D)
{T,T9} is non empty set
{T} is non empty set
{{T,T9},{T}} is non empty set
id T is Morphism of T,T
id T9 is Morphism of T9,T9
C9 . ((id T),(id T9)) is set
[(id T),(id T9)] is V15() set
{(id T),(id T9)} is non empty set
{(id T)} is non empty set
{{(id T),(id T9)},{(id T)}} is non empty set
C9 . [(id T),(id T9)] is set
(C,D,(id T),(id T9)) is V15() Element of the carrier' of (C,D)
D9 is Element of the carrier' of (C,D)
dom D9 is Element of the carrier of (C,D)
the Source of (C,D) is Relation-like the carrier' of (C,D) -defined the carrier of (C,D) -valued Function-like quasi_total Element of bool [: the carrier' of (C,D), the carrier of (C,D):]
[: the carrier' of (C,D), the carrier of (C,D):] is Relation-like non empty set
bool [: the carrier' of (C,D), the carrier of (C,D):] is non empty set
the Source of (C,D) . D9 is Element of the carrier of (C,D)
id (dom D9) is Morphism of dom D9, dom D9
C9 . (id (dom D9)) is Element of the carrier' of C
C9 . D9 is Element of the carrier' of C
dom (C9 . D9) is Element of the carrier of C
the Source of C . (C9 . D9) is Element of the carrier of C
id (dom (C9 . D9)) is Morphism of dom (C9 . D9), dom (C9 . D9)
cod D9 is Element of the carrier of (C,D)
the Target of (C,D) is Relation-like the carrier' of (C,D) -defined the carrier of (C,D) -valued Function-like quasi_total Element of bool [: the carrier' of (C,D), the carrier of (C,D):]
the Target of (C,D) . D9 is Element of the carrier of (C,D)
id (cod D9) is Morphism of cod D9, cod D9
C9 . (id (cod D9)) is Element of the carrier' of C
cod (C9 . D9) is Element of the carrier of C
the Target of C . (C9 . D9) is Element of the carrier of C
id (cod (C9 . D9)) is Morphism of cod (C9 . D9), cod (C9 . D9)
T is Element of the carrier' of C
T9 is Element of the carrier' of D
(C,D,T,T9) is V15() Element of the carrier' of (C,D)
{T,T9} is non empty set
{T} is non empty set
{{T,T9},{T}} is non empty set
C9 . (T,T9) is set
[T,T9] is V15() set
C9 . [T,T9] is set
dom (C,D,T,T9) is Element of the carrier of (C,D)
the Source of (C,D) . (C,D,T,T9) is Element of the carrier of (C,D)
dom T is Element of the carrier of C
the Source of C . T is Element of the carrier of C
dom T9 is Element of the carrier of D
the Source of D . T9 is Element of the carrier of D
(C,D,(dom T),(dom T9)) is V15() Element of the carrier of (C,D)
{(dom T),(dom T9)} is non empty set
{(dom T)} is non empty set
{{(dom T),(dom T9)},{(dom T)}} is non empty set
id (dom T) is Morphism of dom T, dom T
id (dom T9) is Morphism of dom T9, dom T9
C9 . ((id (dom T)),(id (dom T9))) is set
[(id (dom T)),(id (dom T9))] is V15() set
{(id (dom T)),(id (dom T9))} is non empty set
{(id (dom T))} is non empty set
{{(id (dom T)),(id (dom T9))},{(id (dom T))}} is non empty set
C9 . [(id (dom T)),(id (dom T9))] is set
cod (C,D,T,T9) is Element of the carrier of (C,D)
the Target of (C,D) . (C,D,T,T9) is Element of the carrier of (C,D)
cod T is Element of the carrier of C
the Target of C . T is Element of the carrier of C
cod T9 is Element of the carrier of D
the Target of D . T9 is Element of the carrier of D
(C,D,(cod T),(cod T9)) is V15() Element of the carrier of (C,D)
{(cod T),(cod T9)} is non empty set
{(cod T)} is non empty set
{{(cod T),(cod T9)},{(cod T)}} is non empty set
id (cod T) is Morphism of cod T, cod T
id (cod T9) is Morphism of cod T9, cod T9
C9 . ((id (cod T)),(id (cod T9))) is set
[(id (cod T)),(id (cod T9))] is V15() set
{(id (cod T)),(id (cod T9))} is non empty set
{(id (cod T))} is non empty set
{{(id (cod T)),(id (cod T9))},{(id (cod T))}} is non empty set
C9 . [(id (cod T)),(id (cod T9))] is set
T is Element of the carrier' of (C,D)
dom T is Element of the carrier of (C,D)
the Source of (C,D) is Relation-like the carrier' of (C,D) -defined the carrier of (C,D) -valued Function-like quasi_total Element of bool [: the carrier' of (C,D), the carrier of (C,D):]
[: the carrier' of (C,D), the carrier of (C,D):] is Relation-like non empty set
bool [: the carrier' of (C,D), the carrier of (C,D):] is non empty set
the Source of (C,D) . T is Element of the carrier of (C,D)
D9 is Element of the carrier' of (C,D)
cod D9 is Element of the carrier of (C,D)
the Target of (C,D) is Relation-like the carrier' of (C,D) -defined the carrier of (C,D) -valued Function-like quasi_total Element of bool [: the carrier' of (C,D), the carrier of (C,D):]
the Target of (C,D) . D9 is Element of the carrier of (C,D)
T9 is Element of the carrier' of C
c is Element of the carrier' of D
(C,D,T9,c) is V15() Element of the carrier' of (C,D)
{T9,c} is non empty set
{T9} is non empty set
{{T9,c},{T9}} is non empty set
C9 . (T9,c) is set
[T9,c] is V15() set
C9 . [T9,c] is set
C9 . D9 is Element of the carrier' of C
c9 is Element of the carrier' of C
d9 is Element of the carrier' of D
(C,D,c9,d9) is V15() Element of the carrier' of (C,D)
{c9,d9} is non empty set
{c9} is non empty set
{{c9,d9},{c9}} is non empty set
C9 . (c9,d9) is set
[c9,d9] is V15() set
C9 . [c9,d9] is set
C9 . T is Element of the carrier' of C
dom (C,D,c9,d9) is Element of the carrier of (C,D)
the Source of (C,D) . (C,D,c9,d9) is Element of the carrier of (C,D)
dom c9 is Element of the carrier of C
the Source of C . c9 is Element of the carrier of C
dom d9 is Element of the carrier of D
the Source of D . d9 is Element of the carrier of D
(C,D,(dom c9),(dom d9)) is V15() Element of the carrier of (C,D)
{(dom c9),(dom d9)} is non empty set
{(dom c9)} is non empty set
{{(dom c9),(dom d9)},{(dom c9)}} is non empty set
cod (C,D,T9,c) is Element of the carrier of (C,D)
the Target of (C,D) . (C,D,T9,c) is Element of the carrier of (C,D)
cod T9 is Element of the carrier of C
the Target of C . T9 is Element of the carrier of C
cod c is Element of the carrier of D
the Target of D . c is Element of the carrier of D
(C,D,(cod T9),(cod c)) is V15() Element of the carrier of (C,D)
{(cod T9),(cod c)} is non empty set
{(cod T9)} is non empty set
{{(cod T9),(cod c)},{(cod T9)}} is non empty set
T (*) D9 is Element of the carrier' of (C,D)
C9 . (T (*) D9) is Element of the carrier' of C
c9 (*) T9 is Element of the carrier' of C
d9 (*) c is Element of the carrier' of D
C9 . ((c9 (*) T9),(d9 (*) c)) is set
[(c9 (*) T9),(d9 (*) c)] is V15() set
{(c9 (*) T9),(d9 (*) c)} is non empty set
{(c9 (*) T9)} is non empty set
{{(c9 (*) T9),(d9 (*) c)},{(c9 (*) T9)}} is non empty set
C9 . [(c9 (*) T9),(d9 (*) c)] is set
(C9 . T) (*) (C9 . D9) is Element of the carrier' of C
pr2 ( the carrier' of C, the carrier' of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined the carrier' of D -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:], the carrier' of D:]
[:[: the carrier' of C, the carrier' of D:], the carrier' of D:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of D:], the carrier' of D:] is non empty set
[: the carrier' of (C,D), the carrier' of D:] is Relation-like non empty set
bool [: the carrier' of (C,D), the carrier' of D:] is non empty set
the carrier of (C,D) is non empty set
C9 is Relation-like the carrier' of (C,D) -defined the carrier' of D -valued Function-like quasi_total Element of bool [: the carrier' of (C,D), the carrier' of D:]
D9 is Element of the carrier of (C,D)
id D9 is Morphism of D9,D9
C9 . (id D9) is Element of the carrier' of D
T is Element of the carrier of C
T9 is Element of the carrier of D
(C,D,T,T9) is V15() Element of the carrier of (C,D)
{T,T9} is non empty set
{T} is non empty set
{{T,T9},{T}} is non empty set
id T is Morphism of T,T
id T9 is Morphism of T9,T9
C9 . ((id T),(id T9)) is set
[(id T),(id T9)] is V15() set
{(id T),(id T9)} is non empty set
{(id T)} is non empty set
{{(id T),(id T9)},{(id T)}} is non empty set
C9 . [(id T),(id T9)] is set
(C,D,(id T),(id T9)) is V15() Element of the carrier' of (C,D)
D9 is Element of the carrier' of (C,D)
dom D9 is Element of the carrier of (C,D)
the Source of (C,D) is Relation-like the carrier' of (C,D) -defined the carrier of (C,D) -valued Function-like quasi_total Element of bool [: the carrier' of (C,D), the carrier of (C,D):]
[: the carrier' of (C,D), the carrier of (C,D):] is Relation-like non empty set
bool [: the carrier' of (C,D), the carrier of (C,D):] is non empty set
the Source of (C,D) . D9 is Element of the carrier of (C,D)
id (dom D9) is Morphism of dom D9, dom D9
C9 . (id (dom D9)) is Element of the carrier' of D
C9 . D9 is Element of the carrier' of D
dom (C9 . D9) is Element of the carrier of D
the Source of D . (C9 . D9) is Element of the carrier of D
id (dom (C9 . D9)) is Morphism of dom (C9 . D9), dom (C9 . D9)
cod D9 is Element of the carrier of (C,D)
the Target of (C,D) is Relation-like the carrier' of (C,D) -defined the carrier of (C,D) -valued Function-like quasi_total Element of bool [: the carrier' of (C,D), the carrier of (C,D):]
the Target of (C,D) . D9 is Element of the carrier of (C,D)
id (cod D9) is Morphism of cod D9, cod D9
C9 . (id (cod D9)) is Element of the carrier' of D
cod (C9 . D9) is Element of the carrier of D
the Target of D . (C9 . D9) is Element of the carrier of D
id (cod (C9 . D9)) is Morphism of cod (C9 . D9), cod (C9 . D9)
T is Element of the carrier' of C
T9 is Element of the carrier' of D
(C,D,T,T9) is V15() Element of the carrier' of (C,D)
{T,T9} is non empty set
{T} is non empty set
{{T,T9},{T}} is non empty set
C9 . (T,T9) is set
[T,T9] is V15() set
C9 . [T,T9] is set
dom (C,D,T,T9) is Element of the carrier of (C,D)
the Source of (C,D) . (C,D,T,T9) is Element of the carrier of (C,D)
dom T is Element of the carrier of C
the Source of C . T is Element of the carrier of C
dom T9 is Element of the carrier of D
the Source of D . T9 is Element of the carrier of D
(C,D,(dom T),(dom T9)) is V15() Element of the carrier of (C,D)
{(dom T),(dom T9)} is non empty set
{(dom T)} is non empty set
{{(dom T),(dom T9)},{(dom T)}} is non empty set
id (dom T) is Morphism of dom T, dom T
id (dom T9) is Morphism of dom T9, dom T9
C9 . ((id (dom T)),(id (dom T9))) is set
[(id (dom T)),(id (dom T9))] is V15() set
{(id (dom T)),(id (dom T9))} is non empty set
{(id (dom T))} is non empty set
{{(id (dom T)),(id (dom T9))},{(id (dom T))}} is non empty set
C9 . [(id (dom T)),(id (dom T9))] is set
cod (C,D,T,T9) is Element of the carrier of (C,D)
the Target of (C,D) . (C,D,T,T9) is Element of the carrier of (C,D)
cod T is Element of the carrier of C
the Target of C . T is Element of the carrier of C
cod T9 is Element of the carrier of D
the Target of D . T9 is Element of the carrier of D
(C,D,(cod T),(cod T9)) is V15() Element of the carrier of (C,D)
{(cod T),(cod T9)} is non empty set
{(cod T)} is non empty set
{{(cod T),(cod T9)},{(cod T)}} is non empty set
id (cod T) is Morphism of cod T, cod T
id (cod T9) is Morphism of cod T9, cod T9
C9 . ((id (cod T)),(id (cod T9))) is set
[(id (cod T)),(id (cod T9))] is V15() set
{(id (cod T)),(id (cod T9))} is non empty set
{(id (cod T))} is non empty set
{{(id (cod T)),(id (cod T9))},{(id (cod T))}} is non empty set
C9 . [(id (cod T)),(id (cod T9))] is set
T is Element of the carrier' of (C,D)
dom T is Element of the carrier of (C,D)
the Source of (C,D) is Relation-like the carrier' of (C,D) -defined the carrier of (C,D) -valued Function-like quasi_total Element of bool [: the carrier' of (C,D), the carrier of (C,D):]
[: the carrier' of (C,D), the carrier of (C,D):] is Relation-like non empty set
bool [: the carrier' of (C,D), the carrier of (C,D):] is non empty set
the Source of (C,D) . T is Element of the carrier of (C,D)
D9 is Element of the carrier' of (C,D)
cod D9 is Element of the carrier of (C,D)
the Target of (C,D) is Relation-like the carrier' of (C,D) -defined the carrier of (C,D) -valued Function-like quasi_total Element of bool [: the carrier' of (C,D), the carrier of (C,D):]
the Target of (C,D) . D9 is Element of the carrier of (C,D)
T9 is Element of the carrier' of C
c is Element of the carrier' of D
(C,D,T9,c) is V15() Element of the carrier' of (C,D)
{T9,c} is non empty set
{T9} is non empty set
{{T9,c},{T9}} is non empty set
C9 . (T9,c) is set
[T9,c] is V15() set
C9 . [T9,c] is set
C9 . D9 is Element of the carrier' of D
c9 is Element of the carrier' of C
d9 is Element of the carrier' of D
(C,D,c9,d9) is V15() Element of the carrier' of (C,D)
{c9,d9} is non empty set
{c9} is non empty set
{{c9,d9},{c9}} is non empty set
C9 . (c9,d9) is set
[c9,d9] is V15() set
C9 . [c9,d9] is set
C9 . T is Element of the carrier' of D
dom (C,D,c9,d9) is Element of the carrier of (C,D)
the Source of (C,D) . (C,D,c9,d9) is Element of the carrier of (C,D)
dom c9 is Element of the carrier of C
the Source of C . c9 is Element of the carrier of C
dom d9 is Element of the carrier of D
the Source of D . d9 is Element of the carrier of D
(C,D,(dom c9),(dom d9)) is V15() Element of the carrier of (C,D)
{(dom c9),(dom d9)} is non empty set
{(dom c9)} is non empty set
{{(dom c9),(dom d9)},{(dom c9)}} is non empty set
cod (C,D,T9,c) is Element of the carrier of (C,D)
the Target of (C,D) . (C,D,T9,c) is Element of the carrier of (C,D)
cod T9 is Element of the carrier of C
the Target of C . T9 is Element of the carrier of C
cod c is Element of the carrier of D
the Target of D . c is Element of the carrier of D
(C,D,(cod T9),(cod c)) is V15() Element of the carrier of (C,D)
{(cod T9),(cod c)} is non empty set
{(cod T9)} is non empty set
{{(cod T9),(cod c)},{(cod T9)}} is non empty set
T (*) D9 is Element of the carrier' of (C,D)
C9 . (T (*) D9) is Element of the carrier' of D
c9 (*) T9 is Element of the carrier' of C
d9 (*) c is Element of the carrier' of D
C9 . ((c9 (*) T9),(d9 (*) c)) is set
[(c9 (*) T9),(d9 (*) c)] is V15() set
{(c9 (*) T9),(d9 (*) c)} is non empty set
{(c9 (*) T9)} is non empty set
{{(c9 (*) T9),(d9 (*) c)},{(c9 (*) T9)}} is non empty set
C9 . [(c9 (*) T9),(d9 (*) c)] is set
(C9 . T) (*) (C9 . D9) is Element of the carrier' of D
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of C is non empty set
D is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of D is non empty set
(C,D) is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
[: the carrier of C, the carrier of D:] is Relation-like non empty set
the carrier' of C is non empty set
the carrier' of D is non empty set
[: the carrier' of C, the carrier' of D:] is Relation-like non empty set
the Source of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
[: the carrier' of C, the carrier of C:] is Relation-like non empty set
bool [: the carrier' of C, the carrier of C:] is non empty set
the Source of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
[: the carrier' of D, the carrier of D:] is Relation-like non empty set
bool [: the carrier' of D, the carrier of D:] is non empty set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is non empty set
the Target of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
the Target of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
the Comp of C is Relation-like [: the carrier' of C, the carrier' of C:] -defined the carrier' of C -valued Function-like Element of bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:]
[: the carrier' of C, the carrier' of C:] is Relation-like non empty set
[:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is non empty set
the Comp of D is Relation-like [: the carrier' of D, the carrier' of D:] -defined the carrier' of D -valued Function-like Element of bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:]
[: the carrier' of D, the carrier' of D:] is Relation-like non empty set
[:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is Relation-like non empty set
bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is non empty set
( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) is Relation-like [:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] -defined [: the carrier' of C, the carrier' of D:] -valued Function-like Element of bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
[:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is non empty set
CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is non empty non void V55() strict CatStr
(C,D) is Relation-like the carrier' of (C,D) -defined the carrier' of C -valued Function-like quasi_total Functor of (C,D),C
the carrier' of (C,D) is non empty set
pr1 ( the carrier' of C, the carrier' of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined the carrier' of C -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:], the carrier' of C:]
[:[: the carrier' of C, the carrier' of D:], the carrier' of C:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of D:], the carrier' of C:] is non empty set
Obj (C,D) is Relation-like the carrier of (C,D) -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier of (C,D), the carrier of C:]
the carrier of (C,D) is non empty set
[: the carrier of (C,D), the carrier of C:] is Relation-like non empty set
bool [: the carrier of (C,D), the carrier of C:] is non empty set
C9 is Element of the carrier of C
D9 is Element of the carrier of D
(Obj (C,D)) . (C9,D9) is set
[C9,D9] is V15() set
{C9,D9} is non empty set
{C9} is non empty set
{{C9,D9},{C9}} is non empty set
(Obj (C,D)) . [C9,D9] is set
(C,D,C9,D9) is V15() Element of the carrier of (C,D)
id (C,D,C9,D9) is Morphism of (C,D,C9,D9),(C,D,C9,D9)
id C9 is Morphism of C9,C9
id D9 is Morphism of D9,D9
(C,D,(id C9),(id D9)) is V15() Element of the carrier' of (C,D)
{(id C9),(id D9)} is non empty set
{(id C9)} is non empty set
{{(id C9),(id D9)},{(id C9)}} is non empty set
(C,D,C,(C,D),(id C9),(id D9)) is Element of the carrier' of C
[(id C9),(id D9)] is V15() set
(C,D) . [(id C9),(id D9)] is set
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of C is non empty set
D is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of D is non empty set
(C,D) is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
[: the carrier of C, the carrier of D:] is Relation-like non empty set
the carrier' of C is non empty set
the carrier' of D is non empty set
[: the carrier' of C, the carrier' of D:] is Relation-like non empty set
the Source of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
[: the carrier' of C, the carrier of C:] is Relation-like non empty set
bool [: the carrier' of C, the carrier of C:] is non empty set
the Source of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
[: the carrier' of D, the carrier of D:] is Relation-like non empty set
bool [: the carrier' of D, the carrier of D:] is non empty set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is non empty set
the Target of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
the Target of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
the Comp of C is Relation-like [: the carrier' of C, the carrier' of C:] -defined the carrier' of C -valued Function-like Element of bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:]
[: the carrier' of C, the carrier' of C:] is Relation-like non empty set
[:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is non empty set
the Comp of D is Relation-like [: the carrier' of D, the carrier' of D:] -defined the carrier' of D -valued Function-like Element of bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:]
[: the carrier' of D, the carrier' of D:] is Relation-like non empty set
[:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is Relation-like non empty set
bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is non empty set
( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) is Relation-like [:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] -defined [: the carrier' of C, the carrier' of D:] -valued Function-like Element of bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
[:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is non empty set
CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is non empty non void V55() strict CatStr
(C,D) is Relation-like the carrier' of (C,D) -defined the carrier' of D -valued Function-like quasi_total Functor of (C,D),D
the carrier' of (C,D) is non empty set
pr2 ( the carrier' of C, the carrier' of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined the carrier' of D -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:], the carrier' of D:]
[:[: the carrier' of C, the carrier' of D:], the carrier' of D:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of D:], the carrier' of D:] is non empty set
Obj (C,D) is Relation-like the carrier of (C,D) -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier of (C,D), the carrier of D:]
the carrier of (C,D) is non empty set
[: the carrier of (C,D), the carrier of D:] is Relation-like non empty set
bool [: the carrier of (C,D), the carrier of D:] is non empty set
C9 is Element of the carrier of C
D9 is Element of the carrier of D
(Obj (C,D)) . (C9,D9) is set
[C9,D9] is V15() set
{C9,D9} is non empty set
{C9} is non empty set
{{C9,D9},{C9}} is non empty set
(Obj (C,D)) . [C9,D9] is set
(C,D,C9,D9) is V15() Element of the carrier of (C,D)
id (C,D,C9,D9) is Morphism of (C,D,C9,D9),(C,D,C9,D9)
id C9 is Morphism of C9,C9
id D9 is Morphism of D9,D9
(C,D,(id C9),(id D9)) is V15() Element of the carrier' of (C,D)
{(id C9),(id D9)} is non empty set
{(id C9)} is non empty set
{{(id C9),(id D9)},{(id C9)}} is non empty set
(C,D,D,(C,D),(id C9),(id D9)) is Element of the carrier' of D
[(id C9),(id D9)] is V15() set
(C,D) . [(id C9),(id D9)] is set
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of C is non empty set
D is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of D is non empty set
C9 is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of C9 is non empty set
D9 is Relation-like the carrier' of C -defined the carrier' of D -valued Function-like quasi_total Functor of C,D
T is Relation-like the carrier' of C -defined the carrier' of C9 -valued Function-like quasi_total Functor of C,C9
<:D9,T:> is Relation-like Function-like set
(D,C9) is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of D is non empty set
the carrier of C9 is non empty set
[: the carrier of D, the carrier of C9:] is Relation-like non empty set
[: the carrier' of D, the carrier' of C9:] is Relation-like non empty set
the Source of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
[: the carrier' of D, the carrier of D:] is Relation-like non empty set
bool [: the carrier' of D, the carrier of D:] is non empty set
the Source of C9 is Relation-like the carrier' of C9 -defined the carrier of C9 -valued Function-like quasi_total Element of bool [: the carrier' of C9, the carrier of C9:]
[: the carrier' of C9, the carrier of C9:] is Relation-like non empty set
bool [: the carrier' of C9, the carrier of C9:] is non empty set
( the carrier' of D, the carrier' of C9, the carrier of D, the carrier of C9, the Source of D, the Source of C9) is Relation-like [: the carrier' of D, the carrier' of C9:] -defined [: the carrier of D, the carrier of C9:] -valued Function-like quasi_total Element of bool [:[: the carrier' of D, the carrier' of C9:],[: the carrier of D, the carrier of C9:]:]
[:[: the carrier' of D, the carrier' of C9:],[: the carrier of D, the carrier of C9:]:] is Relation-like non empty set
bool [:[: the carrier' of D, the carrier' of C9:],[: the carrier of D, the carrier of C9:]:] is non empty set
the Target of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
the Target of C9 is Relation-like the carrier' of C9 -defined the carrier of C9 -valued Function-like quasi_total Element of bool [: the carrier' of C9, the carrier of C9:]
( the carrier' of D, the carrier' of C9, the carrier of D, the carrier of C9, the Target of D, the Target of C9) is Relation-like [: the carrier' of D, the carrier' of C9:] -defined [: the carrier of D, the carrier of C9:] -valued Function-like quasi_total Element of bool [:[: the carrier' of D, the carrier' of C9:],[: the carrier of D, the carrier of C9:]:]
the Comp of D is Relation-like [: the carrier' of D, the carrier' of D:] -defined the carrier' of D -valued Function-like Element of bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:]
[: the carrier' of D, the carrier' of D:] is Relation-like non empty set
[:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is Relation-like non empty set
bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is non empty set
the Comp of C9 is Relation-like [: the carrier' of C9, the carrier' of C9:] -defined the carrier' of C9 -valued Function-like Element of bool [:[: the carrier' of C9, the carrier' of C9:], the carrier' of C9:]
[: the carrier' of C9, the carrier' of C9:] is Relation-like non empty set
[:[: the carrier' of C9, the carrier' of C9:], the carrier' of C9:] is Relation-like non empty set
bool [:[: the carrier' of C9, the carrier' of C9:], the carrier' of C9:] is non empty set
( the carrier' of D, the carrier' of C9, the Comp of D, the Comp of C9) is Relation-like [:[: the carrier' of D, the carrier' of C9:],[: the carrier' of D, the carrier' of C9:]:] -defined [: the carrier' of D, the carrier' of C9:] -valued Function-like Element of bool [:[:[: the carrier' of D, the carrier' of C9:],[: the carrier' of D, the carrier' of C9:]:],[: the carrier' of D, the carrier' of C9:]:]
[:[: the carrier' of D, the carrier' of C9:],[: the carrier' of D, the carrier' of C9:]:] is Relation-like non empty set
[:[:[: the carrier' of D, the carrier' of C9:],[: the carrier' of D, the carrier' of C9:]:],[: the carrier' of D, the carrier' of C9:]:] is Relation-like non empty set
bool [:[:[: the carrier' of D, the carrier' of C9:],[: the carrier' of D, the carrier' of C9:]:],[: the carrier' of D, the carrier' of C9:]:] is non empty set
CatStr(# [: the carrier of D, the carrier of C9:],[: the carrier' of D, the carrier' of C9:],( the carrier' of D, the carrier' of C9, the carrier of D, the carrier of C9, the Source of D, the Source of C9),( the carrier' of D, the carrier' of C9, the carrier of D, the carrier of C9, the Target of D, the Target of C9),( the carrier' of D, the carrier' of C9, the Comp of D, the Comp of C9) #) is non empty non void V55() strict CatStr
the carrier' of (D,C9) is non empty set
[: the carrier' of C, the carrier' of (D,C9):] is Relation-like non empty set
bool [: the carrier' of C, the carrier' of (D,C9):] is non empty set
<:D9,T:> is Relation-like the carrier' of C -defined [: the carrier' of D, the carrier' of C9:] -valued Function-like quasi_total Element of bool [: the carrier' of C,[: the carrier' of D, the carrier' of C9:]:]
[: the carrier' of C,[: the carrier' of D, the carrier' of C9:]:] is Relation-like non empty set
bool [: the carrier' of C,[: the carrier' of D, the carrier' of C9:]:] is non empty set
the carrier of C is non empty set
the carrier of (D,C9) is non empty set
T9 is Relation-like the carrier' of C -defined the carrier' of (D,C9) -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier' of (D,C9):]
c is Element of the carrier of C
id c is Morphism of c,c
T9 . (id c) is Element of the carrier' of (D,C9)
Obj D9 is Relation-like the carrier of C -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier of C, the carrier of D:]
[: the carrier of C, the carrier of D:] is Relation-like non empty set
bool [: the carrier of C, the carrier of D:] is non empty set
(Obj D9) . c is Element of the carrier of D
Obj T is Relation-like the carrier of C -defined the carrier of C9 -valued Function-like quasi_total Element of bool [: the carrier of C, the carrier of C9:]
[: the carrier of C, the carrier of C9:] is Relation-like non empty set
bool [: the carrier of C, the carrier of C9:] is non empty set
(Obj T) . c is Element of the carrier of C9
(D,C9,((Obj D9) . c),((Obj T) . c)) is V15() Element of the carrier of (D,C9)
{((Obj D9) . c),((Obj T) . c)} is non empty set
{((Obj D9) . c)} is non empty set
{{((Obj D9) . c),((Obj T) . c)},{((Obj D9) . c)}} is non empty set
dd9 is V15() Element of the carrier of (D,C9)
id dd9 is Morphism of dd9,dd9
D9 . (id c) is Element of the carrier' of D
T . (id c) is Element of the carrier' of C9
(D,C9,(D9 . (id c)),(T . (id c))) is V15() Element of the carrier' of (D,C9)
{(D9 . (id c)),(T . (id c))} is non empty set
{(D9 . (id c))} is non empty set
{{(D9 . (id c)),(T . (id c))},{(D9 . (id c))}} is non empty set
id ((Obj D9) . c) is Morphism of (Obj D9) . c,(Obj D9) . c
(D,C9,(id ((Obj D9) . c)),(T . (id c))) is V15() Element of the carrier' of (D,C9)
{(id ((Obj D9) . c)),(T . (id c))} is non empty set
{(id ((Obj D9) . c))} is non empty set
{{(id ((Obj D9) . c)),(T . (id c))},{(id ((Obj D9) . c))}} is non empty set
id ((Obj T) . c) is Morphism of (Obj T) . c,(Obj T) . c
(D,C9,(id ((Obj D9) . c)),(id ((Obj T) . c))) is V15() Element of the carrier' of (D,C9)
{(id ((Obj D9) . c)),(id ((Obj T) . c))} is non empty set
{{(id ((Obj D9) . c)),(id ((Obj T) . c))},{(id ((Obj D9) . c))}} is non empty set
c is Element of the carrier' of C
dom c is Element of the carrier of C
the Source of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
[: the carrier' of C, the carrier of C:] is Relation-like non empty set
bool [: the carrier' of C, the carrier of C:] is non empty set
the Source of C . c is Element of the carrier of C
id (dom c) is Morphism of dom c, dom c
T9 . (id (dom c)) is Element of the carrier' of (D,C9)
T9 . c is Element of the carrier' of (D,C9)
dom (T9 . c) is Element of the carrier of (D,C9)
the Source of (D,C9) is Relation-like the carrier' of (D,C9) -defined the carrier of (D,C9) -valued Function-like quasi_total Element of bool [: the carrier' of (D,C9), the carrier of (D,C9):]
[: the carrier' of (D,C9), the carrier of (D,C9):] is Relation-like non empty set
bool [: the carrier' of (D,C9), the carrier of (D,C9):] is non empty set
the Source of (D,C9) . (T9 . c) is Element of the carrier of (D,C9)
id (dom (T9 . c)) is Morphism of dom (T9 . c), dom (T9 . c)
cod c is Element of the carrier of C
the Target of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
the Target of C . c is Element of the carrier of C
id (cod c) is Morphism of cod c, cod c
T9 . (id (cod c)) is Element of the carrier' of (D,C9)
cod (T9 . c) is Element of the carrier of (D,C9)
the Target of (D,C9) is Relation-like the carrier' of (D,C9) -defined the carrier of (D,C9) -valued Function-like quasi_total Element of bool [: the carrier' of (D,C9), the carrier of (D,C9):]
the Target of (D,C9) . (T9 . c) is Element of the carrier of (D,C9)
id (cod (T9 . c)) is Morphism of cod (T9 . c), cod (T9 . c)
D9 . (id (dom c)) is Element of the carrier' of D
D9 . c is Element of the carrier' of D
dom (D9 . c) is Element of the carrier of D
the Source of D . (D9 . c) is Element of the carrier of D
id (dom (D9 . c)) is Morphism of dom (D9 . c), dom (D9 . c)
T . (id (dom c)) is Element of the carrier' of C9
T . c is Element of the carrier' of C9
dom (T . c) is Element of the carrier of C9
the Source of C9 . (T . c) is Element of the carrier of C9
id (dom (T . c)) is Morphism of dom (T . c), dom (T . c)
(D,C9,(id (dom (D9 . c))),(id (dom (T . c)))) is V15() Element of the carrier' of (D,C9)
{(id (dom (D9 . c))),(id (dom (T . c)))} is non empty set
{(id (dom (D9 . c)))} is non empty set
{{(id (dom (D9 . c))),(id (dom (T . c)))},{(id (dom (D9 . c)))}} is non empty set
(D,C9,(dom (D9 . c)),(dom (T . c))) is V15() Element of the carrier of (D,C9)
{(dom (D9 . c)),(dom (T . c))} is non empty set
{(dom (D9 . c))} is non empty set
{{(dom (D9 . c)),(dom (T . c))},{(dom (D9 . c))}} is non empty set
id (D,C9,(dom (D9 . c)),(dom (T . c))) is Morphism of (D,C9,(dom (D9 . c)),(dom (T . c))),(D,C9,(dom (D9 . c)),(dom (T . c)))
(D,C9,(D9 . c),(T . c)) is V15() Element of the carrier' of (D,C9)
{(D9 . c),(T . c)} is non empty set
{(D9 . c)} is non empty set
{{(D9 . c),(T . c)},{(D9 . c)}} is non empty set
dom (D,C9,(D9 . c),(T . c)) is Element of the carrier of (D,C9)
the Source of (D,C9) . (D,C9,(D9 . c),(T . c)) is Element of the carrier of (D,C9)
id (dom (D,C9,(D9 . c),(T . c))) is Morphism of dom (D,C9,(D9 . c),(T . c)), dom (D,C9,(D9 . c),(T . c))
D9 . (id (cod c)) is Element of the carrier' of D
cod (D9 . c) is Element of the carrier of D
the Target of D . (D9 . c) is Element of the carrier of D
id (cod (D9 . c)) is Morphism of cod (D9 . c), cod (D9 . c)
T . (id (cod c)) is Element of the carrier' of C9
cod (T . c) is Element of the carrier of C9
the Target of C9 . (T . c) is Element of the carrier of C9
id (cod (T . c)) is Morphism of cod (T . c), cod (T . c)
(D,C9,(id (cod (D9 . c))),(id (cod (T . c)))) is V15() Element of the carrier' of (D,C9)
{(id (cod (D9 . c))),(id (cod (T . c)))} is non empty set
{(id (cod (D9 . c)))} is non empty set
{{(id (cod (D9 . c))),(id (cod (T . c)))},{(id (cod (D9 . c)))}} is non empty set
(D,C9,(cod (D9 . c)),(cod (T . c))) is V15() Element of the carrier of (D,C9)
{(cod (D9 . c)),(cod (T . c))} is non empty set
{(cod (D9 . c))} is non empty set
{{(cod (D9 . c)),(cod (T . c))},{(cod (D9 . c))}} is non empty set
id (D,C9,(cod (D9 . c)),(cod (T . c))) is Morphism of (D,C9,(cod (D9 . c)),(cod (T . c))),(D,C9,(cod (D9 . c)),(cod (T . c)))
cod (D,C9,(D9 . c),(T . c)) is Element of the carrier of (D,C9)
the Target of (D,C9) . (D,C9,(D9 . c),(T . c)) is Element of the carrier of (D,C9)
id (cod (D,C9,(D9 . c),(T . c))) is Morphism of cod (D,C9,(D9 . c),(T . c)), cod (D,C9,(D9 . c),(T . c))
c9 is Element of the carrier' of C
dom c9 is Element of the carrier of C
the Source of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
[: the carrier' of C, the carrier of C:] is Relation-like non empty set
bool [: the carrier' of C, the carrier of C:] is non empty set
the Source of C . c9 is Element of the carrier of C
c is Element of the carrier' of C
cod c is Element of the carrier of C
the Target of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
the Target of C . c is Element of the carrier of C
D9 . c9 is Element of the carrier' of D
dom (D9 . c9) is Element of the carrier of D
the Source of D . (D9 . c9) is Element of the carrier of D
D9 . c is Element of the carrier' of D
cod (D9 . c) is Element of the carrier of D
the Target of D . (D9 . c) is Element of the carrier of D
T . c9 is Element of the carrier' of C9
dom (T . c9) is Element of the carrier of C9
the Source of C9 . (T . c9) is Element of the carrier of C9
T . c is Element of the carrier' of C9
cod (T . c) is Element of the carrier of C9
the Target of C9 . (T . c) is Element of the carrier of C9
c9 (*) c is Element of the carrier' of C
D9 . (c9 (*) c) is Element of the carrier' of D
(D9 . c9) (*) (D9 . c) is Element of the carrier' of D
T . (c9 (*) c) is Element of the carrier' of C9
(T . c9) (*) (T . c) is Element of the carrier' of C9
T9 . (c9 (*) c) is Element of the carrier' of (D,C9)
(D,C9,((D9 . c9) (*) (D9 . c)),((T . c9) (*) (T . c))) is V15() Element of the carrier' of (D,C9)
{((D9 . c9) (*) (D9 . c)),((T . c9) (*) (T . c))} is non empty set
{((D9 . c9) (*) (D9 . c))} is non empty set
{{((D9 . c9) (*) (D9 . c)),((T . c9) (*) (T . c))},{((D9 . c9) (*) (D9 . c))}} is non empty set
(D,C9,(D9 . c),(T . c)) is V15() Element of the carrier' of (D,C9)
{(D9 . c),(T . c)} is non empty set
{(D9 . c)} is non empty set
{{(D9 . c),(T . c)},{(D9 . c)}} is non empty set
(D,C9,(D9 . c9),(T . c9)) is V15() Element of the carrier' of (D,C9)
{(D9 . c9),(T . c9)} is non empty set
{(D9 . c9)} is non empty set
{{(D9 . c9),(T . c9)},{(D9 . c9)}} is non empty set
(D,C9,(D9 . c9),(T . c9)) (*) (D,C9,(D9 . c),(T . c)) is Element of the carrier' of (D,C9)
T9 . c9 is Element of the carrier' of (D,C9)
(T9 . c9) (*) (D,C9,(D9 . c),(T . c)) is Element of the carrier' of (D,C9)
T9 . c is Element of the carrier' of (D,C9)
(T9 . c9) (*) (T9 . c) is Element of the carrier' of (D,C9)
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of C is non empty set
the carrier of C is non empty set
D is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of D is non empty set
the carrier of D is non empty set
C9 is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of C9 is non empty set
(D,C9) is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of C9 is non empty set
[: the carrier of D, the carrier of C9:] is Relation-like non empty set
[: the carrier' of D, the carrier' of C9:] is Relation-like non empty set
the Source of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
[: the carrier' of D, the carrier of D:] is Relation-like non empty set
bool [: the carrier' of D, the carrier of D:] is non empty set
the Source of C9 is Relation-like the carrier' of C9 -defined the carrier of C9 -valued Function-like quasi_total Element of bool [: the carrier' of C9, the carrier of C9:]
[: the carrier' of C9, the carrier of C9:] is Relation-like non empty set
bool [: the carrier' of C9, the carrier of C9:] is non empty set
( the carrier' of D, the carrier' of C9, the carrier of D, the carrier of C9, the Source of D, the Source of C9) is Relation-like [: the carrier' of D, the carrier' of C9:] -defined [: the carrier of D, the carrier of C9:] -valued Function-like quasi_total Element of bool [:[: the carrier' of D, the carrier' of C9:],[: the carrier of D, the carrier of C9:]:]
[:[: the carrier' of D, the carrier' of C9:],[: the carrier of D, the carrier of C9:]:] is Relation-like non empty set
bool [:[: the carrier' of D, the carrier' of C9:],[: the carrier of D, the carrier of C9:]:] is non empty set
the Target of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
the Target of C9 is Relation-like the carrier' of C9 -defined the carrier of C9 -valued Function-like quasi_total Element of bool [: the carrier' of C9, the carrier of C9:]
( the carrier' of D, the carrier' of C9, the carrier of D, the carrier of C9, the Target of D, the Target of C9) is Relation-like [: the carrier' of D, the carrier' of C9:] -defined [: the carrier of D, the carrier of C9:] -valued Function-like quasi_total Element of bool [:[: the carrier' of D, the carrier' of C9:],[: the carrier of D, the carrier of C9:]:]
the Comp of D is Relation-like [: the carrier' of D, the carrier' of D:] -defined the carrier' of D -valued Function-like Element of bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:]
[: the carrier' of D, the carrier' of D:] is Relation-like non empty set
[:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is Relation-like non empty set
bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is non empty set
the Comp of C9 is Relation-like [: the carrier' of C9, the carrier' of C9:] -defined the carrier' of C9 -valued Function-like Element of bool [:[: the carrier' of C9, the carrier' of C9:], the carrier' of C9:]
[: the carrier' of C9, the carrier' of C9:] is Relation-like non empty set
[:[: the carrier' of C9, the carrier' of C9:], the carrier' of C9:] is Relation-like non empty set
bool [:[: the carrier' of C9, the carrier' of C9:], the carrier' of C9:] is non empty set
( the carrier' of D, the carrier' of C9, the Comp of D, the Comp of C9) is Relation-like [:[: the carrier' of D, the carrier' of C9:],[: the carrier' of D, the carrier' of C9:]:] -defined [: the carrier' of D, the carrier' of C9:] -valued Function-like Element of bool [:[:[: the carrier' of D, the carrier' of C9:],[: the carrier' of D, the carrier' of C9:]:],[: the carrier' of D, the carrier' of C9:]:]
[:[: the carrier' of D, the carrier' of C9:],[: the carrier' of D, the carrier' of C9:]:] is Relation-like non empty set
[:[:[: the carrier' of D, the carrier' of C9:],[: the carrier' of D, the carrier' of C9:]:],[: the carrier' of D, the carrier' of C9:]:] is Relation-like non empty set
bool [:[:[: the carrier' of D, the carrier' of C9:],[: the carrier' of D, the carrier' of C9:]:],[: the carrier' of D, the carrier' of C9:]:] is non empty set
CatStr(# [: the carrier of D, the carrier of C9:],[: the carrier' of D, the carrier' of C9:],( the carrier' of D, the carrier' of C9, the carrier of D, the carrier of C9, the Source of D, the Source of C9),( the carrier' of D, the carrier' of C9, the carrier of D, the carrier of C9, the Target of D, the Target of C9),( the carrier' of D, the carrier' of C9, the Comp of D, the Comp of C9) #) is non empty non void V55() strict CatStr
the carrier of (D,C9) is non empty set
D9 is Relation-like the carrier' of C -defined the carrier' of D -valued Function-like quasi_total Functor of C,D
Obj D9 is Relation-like the carrier of C -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier of C, the carrier of D:]
[: the carrier of C, the carrier of D:] is Relation-like non empty set
bool [: the carrier of C, the carrier of D:] is non empty set
T is Relation-like the carrier' of C -defined the carrier' of C9 -valued Function-like quasi_total Functor of C,C9
(C,D,C9,D9,T) is Relation-like the carrier' of C -defined the carrier' of (D,C9) -valued Function-like quasi_total Functor of C,(D,C9)
the carrier' of (D,C9) is non empty set
Obj (C,D,C9,D9,T) is Relation-like the carrier of C -defined the carrier of (D,C9) -valued Function-like quasi_total Element of bool [: the carrier of C, the carrier of (D,C9):]
[: the carrier of C, the carrier of (D,C9):] is Relation-like non empty set
bool [: the carrier of C, the carrier of (D,C9):] is non empty set
Obj T is Relation-like the carrier of C -defined the carrier of C9 -valued Function-like quasi_total Element of bool [: the carrier of C, the carrier of C9:]
[: the carrier of C, the carrier of C9:] is Relation-like non empty set
bool [: the carrier of C, the carrier of C9:] is non empty set
T9 is Element of the carrier of C
(Obj (C,D,C9,D9,T)) . T9 is Element of the carrier of (D,C9)
(Obj D9) . T9 is Element of the carrier of D
(Obj T) . T9 is Element of the carrier of C9
(D,C9,((Obj D9) . T9),((Obj T) . T9)) is V15() Element of the carrier of (D,C9)
{((Obj D9) . T9),((Obj T) . T9)} is non empty set
{((Obj D9) . T9)} is non empty set
{{((Obj D9) . T9),((Obj T) . T9)},{((Obj D9) . T9)}} is non empty set
id T9 is Morphism of T9,T9
D9 . (id T9) is Element of the carrier' of D
id ((Obj D9) . T9) is Morphism of (Obj D9) . T9,(Obj D9) . T9
T . (id T9) is Element of the carrier' of C9
id ((Obj T) . T9) is Morphism of (Obj T) . T9,(Obj T) . T9
(C,D,C9,D9,T) . (id T9) is Element of the carrier' of (D,C9)
(D,C9,(D9 . (id T9)),(T . (id T9))) is V15() Element of the carrier' of (D,C9)
{(D9 . (id T9)),(T . (id T9))} is non empty set
{(D9 . (id T9))} is non empty set
{{(D9 . (id T9)),(T . (id T9))},{(D9 . (id T9))}} is non empty set
(D,C9,(id ((Obj D9) . T9)),(id ((Obj T) . T9))) is V15() Element of the carrier' of (D,C9)
{(id ((Obj D9) . T9)),(id ((Obj T) . T9))} is non empty set
{(id ((Obj D9) . T9))} is non empty set
{{(id ((Obj D9) . T9)),(id ((Obj T) . T9))},{(id ((Obj D9) . T9))}} is non empty set
id (D,C9,((Obj D9) . T9),((Obj T) . T9)) is Morphism of (D,C9,((Obj D9) . T9),((Obj T) . T9)),(D,C9,((Obj D9) . T9),((Obj T) . T9))
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of C is non empty set
D is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of D is non empty set
C9 is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of C9 is non empty set
[: the carrier' of C, the carrier' of C9:] is Relation-like non empty set
(C,C9) is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of C is non empty set
the carrier of C9 is non empty set
[: the carrier of C, the carrier of C9:] is Relation-like non empty set
the Source of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
[: the carrier' of C, the carrier of C:] is Relation-like non empty set
bool [: the carrier' of C, the carrier of C:] is non empty set
the Source of C9 is Relation-like the carrier' of C9 -defined the carrier of C9 -valued Function-like quasi_total Element of bool [: the carrier' of C9, the carrier of C9:]
[: the carrier' of C9, the carrier of C9:] is Relation-like non empty set
bool [: the carrier' of C9, the carrier of C9:] is non empty set
( the carrier' of C, the carrier' of C9, the carrier of C, the carrier of C9, the Source of C, the Source of C9) is Relation-like [: the carrier' of C, the carrier' of C9:] -defined [: the carrier of C, the carrier of C9:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of C9:],[: the carrier of C, the carrier of C9:]:]
[:[: the carrier' of C, the carrier' of C9:],[: the carrier of C, the carrier of C9:]:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of C9:],[: the carrier of C, the carrier of C9:]:] is non empty set
the Target of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
the Target of C9 is Relation-like the carrier' of C9 -defined the carrier of C9 -valued Function-like quasi_total Element of bool [: the carrier' of C9, the carrier of C9:]
( the carrier' of C, the carrier' of C9, the carrier of C, the carrier of C9, the Target of C, the Target of C9) is Relation-like [: the carrier' of C, the carrier' of C9:] -defined [: the carrier of C, the carrier of C9:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of C9:],[: the carrier of C, the carrier of C9:]:]
the Comp of C is Relation-like [: the carrier' of C, the carrier' of C:] -defined the carrier' of C -valued Function-like Element of bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:]
[: the carrier' of C, the carrier' of C:] is Relation-like non empty set
[:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is non empty set
the Comp of C9 is Relation-like [: the carrier' of C9, the carrier' of C9:] -defined the carrier' of C9 -valued Function-like Element of bool [:[: the carrier' of C9, the carrier' of C9:], the carrier' of C9:]
[: the carrier' of C9, the carrier' of C9:] is Relation-like non empty set
[:[: the carrier' of C9, the carrier' of C9:], the carrier' of C9:] is Relation-like non empty set
bool [:[: the carrier' of C9, the carrier' of C9:], the carrier' of C9:] is non empty set
( the carrier' of C, the carrier' of C9, the Comp of C, the Comp of C9) is Relation-like [:[: the carrier' of C, the carrier' of C9:],[: the carrier' of C, the carrier' of C9:]:] -defined [: the carrier' of C, the carrier' of C9:] -valued Function-like Element of bool [:[:[: the carrier' of C, the carrier' of C9:],[: the carrier' of C, the carrier' of C9:]:],[: the carrier' of C, the carrier' of C9:]:]
[:[: the carrier' of C, the carrier' of C9:],[: the carrier' of C, the carrier' of C9:]:] is Relation-like non empty set
[:[:[: the carrier' of C, the carrier' of C9:],[: the carrier' of C, the carrier' of C9:]:],[: the carrier' of C, the carrier' of C9:]:] is Relation-like non empty set
bool [:[:[: the carrier' of C, the carrier' of C9:],[: the carrier' of C, the carrier' of C9:]:],[: the carrier' of C, the carrier' of C9:]:] is non empty set
CatStr(# [: the carrier of C, the carrier of C9:],[: the carrier' of C, the carrier' of C9:],( the carrier' of C, the carrier' of C9, the carrier of C, the carrier of C9, the Source of C, the Source of C9),( the carrier' of C, the carrier' of C9, the carrier of C, the carrier of C9, the Target of C, the Target of C9),( the carrier' of C, the carrier' of C9, the Comp of C, the Comp of C9) #) is non empty non void V55() strict CatStr
the carrier' of (C,C9) is non empty set
(C,C9) is Relation-like the carrier' of (C,C9) -defined the carrier' of C -valued Function-like quasi_total Functor of (C,C9),C
pr1 ( the carrier' of C, the carrier' of C9) is Relation-like [: the carrier' of C, the carrier' of C9:] -defined the carrier' of C -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of C9:], the carrier' of C:]
[:[: the carrier' of C, the carrier' of C9:], the carrier' of C:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of C9:], the carrier' of C:] is non empty set
(C,C9) is Relation-like the carrier' of (C,C9) -defined the carrier' of C9 -valued Function-like quasi_total Functor of (C,C9),C9
pr2 ( the carrier' of C, the carrier' of C9) is Relation-like [: the carrier' of C, the carrier' of C9:] -defined the carrier' of C9 -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of C9:], the carrier' of C9:]
[:[: the carrier' of C, the carrier' of C9:], the carrier' of C9:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of C9:], the carrier' of C9:] is non empty set
D9 is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of D9 is non empty set
[: the carrier' of D, the carrier' of D9:] is Relation-like non empty set
(D,D9) is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of D is non empty set
the carrier of D9 is non empty set
[: the carrier of D, the carrier of D9:] is Relation-like non empty set
the Source of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
[: the carrier' of D, the carrier of D:] is Relation-like non empty set
bool [: the carrier' of D, the carrier of D:] is non empty set
the Source of D9 is Relation-like the carrier' of D9 -defined the carrier of D9 -valued Function-like quasi_total Element of bool [: the carrier' of D9, the carrier of D9:]
[: the carrier' of D9, the carrier of D9:] is Relation-like non empty set
bool [: the carrier' of D9, the carrier of D9:] is non empty set
( the carrier' of D, the carrier' of D9, the carrier of D, the carrier of D9, the Source of D, the Source of D9) is Relation-like [: the carrier' of D, the carrier' of D9:] -defined [: the carrier of D, the carrier of D9:] -valued Function-like quasi_total Element of bool [:[: the carrier' of D, the carrier' of D9:],[: the carrier of D, the carrier of D9:]:]
[:[: the carrier' of D, the carrier' of D9:],[: the carrier of D, the carrier of D9:]:] is Relation-like non empty set
bool [:[: the carrier' of D, the carrier' of D9:],[: the carrier of D, the carrier of D9:]:] is non empty set
the Target of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
the Target of D9 is Relation-like the carrier' of D9 -defined the carrier of D9 -valued Function-like quasi_total Element of bool [: the carrier' of D9, the carrier of D9:]
( the carrier' of D, the carrier' of D9, the carrier of D, the carrier of D9, the Target of D, the Target of D9) is Relation-like [: the carrier' of D, the carrier' of D9:] -defined [: the carrier of D, the carrier of D9:] -valued Function-like quasi_total Element of bool [:[: the carrier' of D, the carrier' of D9:],[: the carrier of D, the carrier of D9:]:]
the Comp of D is Relation-like [: the carrier' of D, the carrier' of D:] -defined the carrier' of D -valued Function-like Element of bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:]
[: the carrier' of D, the carrier' of D:] is Relation-like non empty set
[:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is Relation-like non empty set
bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is non empty set
the Comp of D9 is Relation-like [: the carrier' of D9, the carrier' of D9:] -defined the carrier' of D9 -valued Function-like Element of bool [:[: the carrier' of D9, the carrier' of D9:], the carrier' of D9:]
[: the carrier' of D9, the carrier' of D9:] is Relation-like non empty set
[:[: the carrier' of D9, the carrier' of D9:], the carrier' of D9:] is Relation-like non empty set
bool [:[: the carrier' of D9, the carrier' of D9:], the carrier' of D9:] is non empty set
( the carrier' of D, the carrier' of D9, the Comp of D, the Comp of D9) is Relation-like [:[: the carrier' of D, the carrier' of D9:],[: the carrier' of D, the carrier' of D9:]:] -defined [: the carrier' of D, the carrier' of D9:] -valued Function-like Element of bool [:[:[: the carrier' of D, the carrier' of D9:],[: the carrier' of D, the carrier' of D9:]:],[: the carrier' of D, the carrier' of D9:]:]
[:[: the carrier' of D, the carrier' of D9:],[: the carrier' of D, the carrier' of D9:]:] is Relation-like non empty set
[:[:[: the carrier' of D, the carrier' of D9:],[: the carrier' of D, the carrier' of D9:]:],[: the carrier' of D, the carrier' of D9:]:] is Relation-like non empty set
bool [:[:[: the carrier' of D, the carrier' of D9:],[: the carrier' of D, the carrier' of D9:]:],[: the carrier' of D, the carrier' of D9:]:] is non empty set
CatStr(# [: the carrier of D, the carrier of D9:],[: the carrier' of D, the carrier' of D9:],( the carrier' of D, the carrier' of D9, the carrier of D, the carrier of D9, the Source of D, the Source of D9),( the carrier' of D, the carrier' of D9, the carrier of D, the carrier of D9, the Target of D, the Target of D9),( the carrier' of D, the carrier' of D9, the Comp of D, the Comp of D9) #) is non empty non void V55() strict CatStr
the carrier' of (D,D9) is non empty set
T is Relation-like the carrier' of C -defined the carrier' of D -valued Function-like quasi_total Functor of C,D
T * (C,C9) is Relation-like the carrier' of (C,C9) -defined the carrier' of (C,C9) -defined the carrier' of D -valued the carrier' of D -valued Function-like quasi_total Functor of (C,C9),D
T9 is Relation-like the carrier' of C9 -defined the carrier' of D9 -valued Function-like quasi_total Functor of C9,D9
( the carrier' of C, the carrier' of C9, the carrier' of D, the carrier' of D9,T,T9) is Relation-like [: the carrier' of C, the carrier' of C9:] -defined [: the carrier' of D, the carrier' of D9:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of C9:],[: the carrier' of D, the carrier' of D9:]:]
[:[: the carrier' of C, the carrier' of C9:],[: the carrier' of D, the carrier' of D9:]:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of C9:],[: the carrier' of D, the carrier' of D9:]:] is non empty set
T9 * (C,C9) is Relation-like the carrier' of (C,C9) -defined the carrier' of (C,C9) -defined the carrier' of D9 -valued the carrier' of D9 -valued Function-like quasi_total Functor of (C,C9),D9
((C,C9),D,D9,(T * (C,C9)),(T9 * (C,C9))) is Relation-like the carrier' of (C,C9) -defined the carrier' of (D,D9) -valued Function-like quasi_total Functor of (C,C9),(D,D9)
dom T is set
dom T9 is set
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of C is non empty set
C9 is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of C9 is non empty set
D is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of D is non empty set
D9 is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of D9 is non empty set
T is Relation-like the carrier' of C -defined the carrier' of C9 -valued Function-like quasi_total Functor of C,C9
T9 is Relation-like the carrier' of D -defined the carrier' of D9 -valued Function-like quasi_total Functor of D,D9
[:T,T9:] is Relation-like Function-like set
(C,D) is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of C is non empty set
the carrier of D is non empty set
[: the carrier of C, the carrier of D:] is Relation-like non empty set
[: the carrier' of C, the carrier' of D:] is Relation-like non empty set
the Source of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
[: the carrier' of C, the carrier of C:] is Relation-like non empty set
bool [: the carrier' of C, the carrier of C:] is non empty set
the Source of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
[: the carrier' of D, the carrier of D:] is Relation-like non empty set
bool [: the carrier' of D, the carrier of D:] is non empty set
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:] is non empty set
the Target of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
the Target of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier of C, the carrier of D:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier of C, the carrier of D:]:]
the Comp of C is Relation-like [: the carrier' of C, the carrier' of C:] -defined the carrier' of C -valued Function-like Element of bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:]
[: the carrier' of C, the carrier' of C:] is Relation-like non empty set
[:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is non empty set
the Comp of D is Relation-like [: the carrier' of D, the carrier' of D:] -defined the carrier' of D -valued Function-like Element of bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:]
[: the carrier' of D, the carrier' of D:] is Relation-like non empty set
[:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is Relation-like non empty set
bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is non empty set
( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) is Relation-like [:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] -defined [: the carrier' of C, the carrier' of D:] -valued Function-like Element of bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
[:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is Relation-like non empty set
bool [:[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C, the carrier' of D:]:],[: the carrier' of C, the carrier' of D:]:] is non empty set
CatStr(# [: the carrier of C, the carrier of D:],[: the carrier' of C, the carrier' of D:],( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Source of C, the Source of D),( the carrier' of C, the carrier' of D, the carrier of C, the carrier of D, the Target of C, the Target of D),( the carrier' of C, the carrier' of D, the Comp of C, the Comp of D) #) is non empty non void V55() strict CatStr
the carrier' of (C,D) is non empty set
(C9,D9) is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of C9 is non empty set
the carrier of D9 is non empty set
[: the carrier of C9, the carrier of D9:] is Relation-like non empty set
[: the carrier' of C9, the carrier' of D9:] is Relation-like non empty set
the Source of C9 is Relation-like the carrier' of C9 -defined the carrier of C9 -valued Function-like quasi_total Element of bool [: the carrier' of C9, the carrier of C9:]
[: the carrier' of C9, the carrier of C9:] is Relation-like non empty set
bool [: the carrier' of C9, the carrier of C9:] is non empty set
the Source of D9 is Relation-like the carrier' of D9 -defined the carrier of D9 -valued Function-like quasi_total Element of bool [: the carrier' of D9, the carrier of D9:]
[: the carrier' of D9, the carrier of D9:] is Relation-like non empty set
bool [: the carrier' of D9, the carrier of D9:] is non empty set
( the carrier' of C9, the carrier' of D9, the carrier of C9, the carrier of D9, the Source of C9, the Source of D9) is Relation-like [: the carrier' of C9, the carrier' of D9:] -defined [: the carrier of C9, the carrier of D9:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C9, the carrier' of D9:],[: the carrier of C9, the carrier of D9:]:]
[:[: the carrier' of C9, the carrier' of D9:],[: the carrier of C9, the carrier of D9:]:] is Relation-like non empty set
bool [:[: the carrier' of C9, the carrier' of D9:],[: the carrier of C9, the carrier of D9:]:] is non empty set
the Target of C9 is Relation-like the carrier' of C9 -defined the carrier of C9 -valued Function-like quasi_total Element of bool [: the carrier' of C9, the carrier of C9:]
the Target of D9 is Relation-like the carrier' of D9 -defined the carrier of D9 -valued Function-like quasi_total Element of bool [: the carrier' of D9, the carrier of D9:]
( the carrier' of C9, the carrier' of D9, the carrier of C9, the carrier of D9, the Target of C9, the Target of D9) is Relation-like [: the carrier' of C9, the carrier' of D9:] -defined [: the carrier of C9, the carrier of D9:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C9, the carrier' of D9:],[: the carrier of C9, the carrier of D9:]:]
the Comp of C9 is Relation-like [: the carrier' of C9, the carrier' of C9:] -defined the carrier' of C9 -valued Function-like Element of bool [:[: the carrier' of C9, the carrier' of C9:], the carrier' of C9:]
[: the carrier' of C9, the carrier' of C9:] is Relation-like non empty set
[:[: the carrier' of C9, the carrier' of C9:], the carrier' of C9:] is Relation-like non empty set
bool [:[: the carrier' of C9, the carrier' of C9:], the carrier' of C9:] is non empty set
the Comp of D9 is Relation-like [: the carrier' of D9, the carrier' of D9:] -defined the carrier' of D9 -valued Function-like Element of bool [:[: the carrier' of D9, the carrier' of D9:], the carrier' of D9:]
[: the carrier' of D9, the carrier' of D9:] is Relation-like non empty set
[:[: the carrier' of D9, the carrier' of D9:], the carrier' of D9:] is Relation-like non empty set
bool [:[: the carrier' of D9, the carrier' of D9:], the carrier' of D9:] is non empty set
( the carrier' of C9, the carrier' of D9, the Comp of C9, the Comp of D9) is Relation-like [:[: the carrier' of C9, the carrier' of D9:],[: the carrier' of C9, the carrier' of D9:]:] -defined [: the carrier' of C9, the carrier' of D9:] -valued Function-like Element of bool [:[:[: the carrier' of C9, the carrier' of D9:],[: the carrier' of C9, the carrier' of D9:]:],[: the carrier' of C9, the carrier' of D9:]:]
[:[: the carrier' of C9, the carrier' of D9:],[: the carrier' of C9, the carrier' of D9:]:] is Relation-like non empty set
[:[:[: the carrier' of C9, the carrier' of D9:],[: the carrier' of C9, the carrier' of D9:]:],[: the carrier' of C9, the carrier' of D9:]:] is Relation-like non empty set
bool [:[:[: the carrier' of C9, the carrier' of D9:],[: the carrier' of C9, the carrier' of D9:]:],[: the carrier' of C9, the carrier' of D9:]:] is non empty set
CatStr(# [: the carrier of C9, the carrier of D9:],[: the carrier' of C9, the carrier' of D9:],( the carrier' of C9, the carrier' of D9, the carrier of C9, the carrier of D9, the Source of C9, the Source of D9),( the carrier' of C9, the carrier' of D9, the carrier of C9, the carrier of D9, the Target of C9, the Target of D9),( the carrier' of C9, the carrier' of D9, the Comp of C9, the Comp of D9) #) is non empty non void V55() strict CatStr
the carrier' of (C9,D9) is non empty set
( the carrier' of C, the carrier' of D, the carrier' of C9, the carrier' of D9,T,T9) is Relation-like [: the carrier' of C, the carrier' of D:] -defined [: the carrier' of C9, the carrier' of D9:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:],[: the carrier' of C9, the carrier' of D9:]:]
[:[: the carrier' of C, the carrier' of D:],[: the carrier' of C9, the carrier' of D9:]:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of D:],[: the carrier' of C9, the carrier' of D9:]:] is non empty set
(C,D) is Relation-like the carrier' of (C,D) -defined the carrier' of C -valued Function-like quasi_total Functor of (C,D),C
pr1 ( the carrier' of C, the carrier' of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined the carrier' of C -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:], the carrier' of C:]
[:[: the carrier' of C, the carrier' of D:], the carrier' of C:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of D:], the carrier' of C:] is non empty set
T * (C,D) is Relation-like the carrier' of (C,D) -defined the carrier' of (C,D) -defined the carrier' of C9 -valued the carrier' of C9 -valued Function-like quasi_total Functor of (C,D),C9
(C,D) is Relation-like the carrier' of (C,D) -defined the carrier' of D -valued Function-like quasi_total Functor of (C,D),D
pr2 ( the carrier' of C, the carrier' of D) is Relation-like [: the carrier' of C, the carrier' of D:] -defined the carrier' of D -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of D:], the carrier' of D:]
[:[: the carrier' of C, the carrier' of D:], the carrier' of D:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of D:], the carrier' of D:] is non empty set
T9 * (C,D) is Relation-like the carrier' of (C,D) -defined the carrier' of (C,D) -defined the carrier' of D9 -valued the carrier' of D9 -valued Function-like quasi_total Functor of (C,D),D9
((C,D),C9,D9,(T * (C,D)),(T9 * (C,D))) is Relation-like the carrier' of (C,D) -defined the carrier' of (C9,D9) -valued Function-like quasi_total Functor of (C,D),(C9,D9)
C is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of C is non empty set
the carrier of C is non empty set
D is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of D is non empty set
the carrier of D is non empty set
C9 is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of C9 is non empty set
the carrier of C9 is non empty set
(C,C9) is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
[: the carrier of C, the carrier of C9:] is Relation-like non empty set
[: the carrier' of C, the carrier' of C9:] is Relation-like non empty set
the Source of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
[: the carrier' of C, the carrier of C:] is Relation-like non empty set
bool [: the carrier' of C, the carrier of C:] is non empty set
the Source of C9 is Relation-like the carrier' of C9 -defined the carrier of C9 -valued Function-like quasi_total Element of bool [: the carrier' of C9, the carrier of C9:]
[: the carrier' of C9, the carrier of C9:] is Relation-like non empty set
bool [: the carrier' of C9, the carrier of C9:] is non empty set
( the carrier' of C, the carrier' of C9, the carrier of C, the carrier of C9, the Source of C, the Source of C9) is Relation-like [: the carrier' of C, the carrier' of C9:] -defined [: the carrier of C, the carrier of C9:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of C9:],[: the carrier of C, the carrier of C9:]:]
[:[: the carrier' of C, the carrier' of C9:],[: the carrier of C, the carrier of C9:]:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of C9:],[: the carrier of C, the carrier of C9:]:] is non empty set
the Target of C is Relation-like the carrier' of C -defined the carrier of C -valued Function-like quasi_total Element of bool [: the carrier' of C, the carrier of C:]
the Target of C9 is Relation-like the carrier' of C9 -defined the carrier of C9 -valued Function-like quasi_total Element of bool [: the carrier' of C9, the carrier of C9:]
( the carrier' of C, the carrier' of C9, the carrier of C, the carrier of C9, the Target of C, the Target of C9) is Relation-like [: the carrier' of C, the carrier' of C9:] -defined [: the carrier of C, the carrier of C9:] -valued Function-like quasi_total Element of bool [:[: the carrier' of C, the carrier' of C9:],[: the carrier of C, the carrier of C9:]:]
the Comp of C is Relation-like [: the carrier' of C, the carrier' of C:] -defined the carrier' of C -valued Function-like Element of bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:]
[: the carrier' of C, the carrier' of C:] is Relation-like non empty set
[:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is Relation-like non empty set
bool [:[: the carrier' of C, the carrier' of C:], the carrier' of C:] is non empty set
the Comp of C9 is Relation-like [: the carrier' of C9, the carrier' of C9:] -defined the carrier' of C9 -valued Function-like Element of bool [:[: the carrier' of C9, the carrier' of C9:], the carrier' of C9:]
[: the carrier' of C9, the carrier' of C9:] is Relation-like non empty set
[:[: the carrier' of C9, the carrier' of C9:], the carrier' of C9:] is Relation-like non empty set
bool [:[: the carrier' of C9, the carrier' of C9:], the carrier' of C9:] is non empty set
( the carrier' of C, the carrier' of C9, the Comp of C, the Comp of C9) is Relation-like [:[: the carrier' of C, the carrier' of C9:],[: the carrier' of C, the carrier' of C9:]:] -defined [: the carrier' of C, the carrier' of C9:] -valued Function-like Element of bool [:[:[: the carrier' of C, the carrier' of C9:],[: the carrier' of C, the carrier' of C9:]:],[: the carrier' of C, the carrier' of C9:]:]
[:[: the carrier' of C, the carrier' of C9:],[: the carrier' of C, the carrier' of C9:]:] is Relation-like non empty set
[:[:[: the carrier' of C, the carrier' of C9:],[: the carrier' of C, the carrier' of C9:]:],[: the carrier' of C, the carrier' of C9:]:] is Relation-like non empty set
bool [:[:[: the carrier' of C, the carrier' of C9:],[: the carrier' of C, the carrier' of C9:]:],[: the carrier' of C, the carrier' of C9:]:] is non empty set
CatStr(# [: the carrier of C, the carrier of C9:],[: the carrier' of C, the carrier' of C9:],( the carrier' of C, the carrier' of C9, the carrier of C, the carrier of C9, the Source of C, the Source of C9),( the carrier' of C, the carrier' of C9, the carrier of C, the carrier of C9, the Target of C, the Target of C9),( the carrier' of C, the carrier' of C9, the Comp of C, the Comp of C9) #) is non empty non void V55() strict CatStr
D9 is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier' of D9 is non empty set
(D,D9) is non empty non void V55() Category-like transitive associative reflexive with_identities CatStr
the carrier of D9 is non empty set
[: the carrier of D, the carrier of D9:] is Relation-like non empty set
[: the carrier' of D, the carrier' of D9:] is Relation-like non empty set
the Source of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
[: the carrier' of D, the carrier of D:] is Relation-like non empty set
bool [: the carrier' of D, the carrier of D:] is non empty set
the Source of D9 is Relation-like the carrier' of D9 -defined the carrier of D9 -valued Function-like quasi_total Element of bool [: the carrier' of D9, the carrier of D9:]
[: the carrier' of D9, the carrier of D9:] is Relation-like non empty set
bool [: the carrier' of D9, the carrier of D9:] is non empty set
( the carrier' of D, the carrier' of D9, the carrier of D, the carrier of D9, the Source of D, the Source of D9) is Relation-like [: the carrier' of D, the carrier' of D9:] -defined [: the carrier of D, the carrier of D9:] -valued Function-like quasi_total Element of bool [:[: the carrier' of D, the carrier' of D9:],[: the carrier of D, the carrier of D9:]:]
[:[: the carrier' of D, the carrier' of D9:],[: the carrier of D, the carrier of D9:]:] is Relation-like non empty set
bool [:[: the carrier' of D, the carrier' of D9:],[: the carrier of D, the carrier of D9:]:] is non empty set
the Target of D is Relation-like the carrier' of D -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier' of D, the carrier of D:]
the Target of D9 is Relation-like the carrier' of D9 -defined the carrier of D9 -valued Function-like quasi_total Element of bool [: the carrier' of D9, the carrier of D9:]
( the carrier' of D, the carrier' of D9, the carrier of D, the carrier of D9, the Target of D, the Target of D9) is Relation-like [: the carrier' of D, the carrier' of D9:] -defined [: the carrier of D, the carrier of D9:] -valued Function-like quasi_total Element of bool [:[: the carrier' of D, the carrier' of D9:],[: the carrier of D, the carrier of D9:]:]
the Comp of D is Relation-like [: the carrier' of D, the carrier' of D:] -defined the carrier' of D -valued Function-like Element of bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:]
[: the carrier' of D, the carrier' of D:] is Relation-like non empty set
[:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is Relation-like non empty set
bool [:[: the carrier' of D, the carrier' of D:], the carrier' of D:] is non empty set
the Comp of D9 is Relation-like [: the carrier' of D9, the carrier' of D9:] -defined the carrier' of D9 -valued Function-like Element of bool [:[: the carrier' of D9, the carrier' of D9:], the carrier' of D9:]
[: the carrier' of D9, the carrier' of D9:] is Relation-like non empty set
[:[: the carrier' of D9, the carrier' of D9:], the carrier' of D9:] is Relation-like non empty set
bool [:[: the carrier' of D9, the carrier' of D9:], the carrier' of D9:] is non empty set
( the carrier' of D, the carrier' of D9, the Comp of D, the Comp of D9) is Relation-like [:[: the carrier' of D, the carrier' of D9:],[: the carrier' of D, the carrier' of D9:]:] -defined [: the carrier' of D, the carrier' of D9:] -valued Function-like Element of bool [:[:[: the carrier' of D, the carrier' of D9:],[: the carrier' of D, the carrier' of D9:]:],[: the carrier' of D, the carrier' of D9:]:]
[:[: the carrier' of D, the carrier' of D9:],[: the carrier' of D, the carrier' of D9:]:] is Relation-like non empty set
[:[:[: the carrier' of D, the carrier' of D9:],[: the carrier' of D, the carrier' of D9:]:],[: the carrier' of D, the carrier' of D9:]:] is Relation-like non empty set
bool [:[:[: the carrier' of D, the carrier' of D9:],[: the carrier' of D, the carrier' of D9:]:],[: the carrier' of D, the carrier' of D9:]:] is non empty set
CatStr(# [: the carrier of D, the carrier of D9:],[: the carrier' of D, the carrier' of D9:],( the carrier' of D, the carrier' of D9, the carrier of D, the carrier of D9, the Source of D, the Source of D9),( the carrier' of D, the carrier' of D9, the carrier of D, the carrier of D9, the Target of D, the Target of D9),( the carrier' of D, the carrier' of D9, the Comp of D, the Comp of D9) #) is non empty non void V55() strict CatStr
T is Relation-like the carrier' of C -defined the carrier' of D -valued Function-like quasi_total Functor of C,D
Obj T is Relation-like the carrier of C -defined the carrier of D -valued Function-like quasi_total Element of bool [: the carrier of C, the carrier of D:]
[: the carrier of C, the carrier of D:] is Relation-like non empty set
bool [: the carrier of C, the carrier of D:] is non empty set
T9 is Relation-like the carrier' of C9 -defined the carrier' of D9 -valued Function-like quasi_total Functor of C9,D9
(C,C9,D,D9,T,T9) is Relation-like the carrier' of (C,C9) -defined the carrier' of (D,D9) -valued Function-like quasi_total Functor of (C,C9),(D,D9)
the carrier' of (C,C9) is non empty set
the carrier' of (D,D9) is non empty set
Obj (C,C9,D,D9,T,T9) is Relation-like the carrier of (C,C9) -defined the carrier of (D,D9) -valued Function-like quasi_total Element of bool [: the carrier of (C,C9), the carrier of (D,D9):]
the carrier of (C,C9) is non empty set
the carrier of (D,D9) is non empty set
[: the carrier of (C,C9), the carrier of (D,D9):] is Relation-like non empty set
bool [: the carrier of (C,C9), the carrier of (D,D9):] is non empty set
Obj T9 is Relation-like the carrier of C9 -defined the carrier of D9 -valued Function-like quasi_total Element of bool [: the carrier of C9, the carrier of D9:]
[: the carrier of C9, the carrier of D9:] is Relation-like non empty set
bool [: the carrier of C9, the carrier of D9:] is non empty set
c is Element of the carrier of C
(Obj T) . c is Element of the carrier of D
c9 is Element of the carrier of C9
(Obj (C,C9,D,D9,T,T9)) . (c,c9) is set
[c,c9] is V15() set
{c,c9} is non empty set
{c} is non empty set
{{c,c9},{c}} is non empty set
(Obj (C,C9,D,D9,T,T9)) . [c,c9] is set
(Obj T9) . c9 is Element of the carrier of D9
(D,D9,((Obj T) . c),((Obj T9) . c9)) is V15() Element of the carrier of (D,D9)
{((Obj T) . c),((Obj T9) . c9)} is non empty set
{((Obj T) . c)} is non empty set
{{((Obj T) . c),((Obj T9) . c9)},{((Obj T) . c)}} is non empty set
id c is Morphism of c,c
T . (id c) is Element of the carrier' of D
id ((Obj T) . c) is Morphism of (Obj T) . c,(Obj T) . c
id c9 is Morphism of c9,c9
T9 . (id c9) is Element of the carrier' of D9
id ((Obj T9) . c9) is Morphism of (Obj T9) . c9,(Obj T9) . c9
(D,D9,(id ((Obj T) . c)),(id ((Obj T9) . c9))) is V15() Element of the carrier' of (D,D9)
{(id ((Obj T) . c)),(id ((Obj T9) . c9))} is non empty set
{(id ((Obj T) . c))} is non empty set
{{(id ((Obj T) . c)),(id ((Obj T9) . c9))},{(id ((Obj T) . c))}} is non empty set
id (D,D9,((Obj T) . c),((Obj T9) . c9)) is Morphism of (D,D9,((Obj T) . c),((Obj T9) . c9)),(D,D9,((Obj T) . c),((Obj T9) . c9))
(C,C9,(D,D9),(C,C9,D,D9,T,T9),(id c),(id c9)) is Element of the carrier' of (D,D9)
[(id c),(id c9)] is V15() set
{(id c),(id c9)} is non empty set
{(id c)} is non empty set
{{(id c),(id c9)},{(id c)}} is non empty set
(C,C9,D,D9,T,T9) . [(id c),(id c9)] is set
(D,D9,(T . (id c)),(T9 . (id c9))) is V15() Element of the carrier' of (D,D9)
{(T . (id c)),(T9 . (id c9))} is non empty set
{(T . (id c))} is non empty set
{{(T . (id c)),(T9 . (id c9))},{(T . (id c))}} is non empty set
(C,C9,(id c),(id c9)) is V15() Element of the carrier' of (C,C9)
(C,C9,c,c9) is V15() Element of the carrier of (C,C9)
id (C,C9,c,c9) is Morphism of (C,C9,c,c9),(C,C9,c,c9)