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Definition df-cic 16377
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 17623. (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 16376 . 2 class 𝑐
2 vc . . 3 setvar 𝑐
3 ccat 16246 . . 3 class Cat
42cv 1479 . . . . 5 class 𝑐
5 ciso 16327 . . . . 5 class Iso
64, 5cfv 5847 . . . 4 class (Iso‘𝑐)
7 c0 3891 . . . 4 class
8 csupp 7240 . . . 4 class supp
96, 7, 8co 6604 . . 3 class ((Iso‘𝑐) supp ∅)
102, 3, 9cmpt 4673 . 2 class (𝑐 ∈ Cat ↦ ((Iso‘𝑐) supp ∅))
111, 10wceq 1480 1 wff 𝑐 = (𝑐 ∈ Cat ↦ ((Iso‘𝑐) supp ∅))
Colors of variables: wff setvar class
This definition is referenced by:  cicfval  16378
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