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Definition df-cic 17054
Description: Function returning the set of isomorphic objects for each category 𝑐. Definition 3.15 of [Adamek] p. 29. Analogous to the definition of the group isomorphism relation 𝑔, see df-gic 18338. (Contributed by AV, 4-Apr-2020.)
Assertion
Ref Expression
df-cic 𝑐 = (𝑐 ∈ Cat ↦ ((Iso‘𝑐) supp ∅))

Detailed syntax breakdown of Definition df-cic
StepHypRef Expression
1 ccic 17053 . 2 class 𝑐
2 vc . . 3 setvar 𝑐
3 ccat 16923 . . 3 class Cat
42cv 1527 . . . . 5 class 𝑐
5 ciso 17004 . . . . 5 class Iso
64, 5cfv 6348 . . . 4 class (Iso‘𝑐)
7 c0 4288 . . . 4 class
8 csupp 7819 . . . 4 class supp
96, 7, 8co 7145 . . 3 class ((Iso‘𝑐) supp ∅)
102, 3, 9cmpt 5137 . 2 class (𝑐 ∈ Cat ↦ ((Iso‘𝑐) supp ∅))
111, 10wceq 1528 1 wff 𝑐 = (𝑐 ∈ Cat ↦ ((Iso‘𝑐) supp ∅))
Colors of variables: wff setvar class
This definition is referenced by:  cicfval  17055
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