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Definition df-cic 17748
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 19181. (Contributed by AV, 4-Apr-2020.)
Assertion
Ref Expression
df-cic ≃𝑐 = (𝑐 ∈ Cat ↦ ((Isoβ€˜π‘) supp βˆ…))

Detailed syntax breakdown of Definition df-cic
StepHypRef Expression
1 ccic 17747 . 2 class ≃𝑐
2 vc . . 3 setvar 𝑐
3 ccat 17613 . . 3 class Cat
42cv 1532 . . . . 5 class 𝑐
5 ciso 17698 . . . . 5 class Iso
64, 5cfv 6534 . . . 4 class (Isoβ€˜π‘)
7 c0 4315 . . . 4 class βˆ…
8 csupp 8141 . . . 4 class supp
96, 7, 8co 7402 . . 3 class ((Isoβ€˜π‘) supp βˆ…)
102, 3, 9cmpt 5222 . 2 class (𝑐 ∈ Cat ↦ ((Isoβ€˜π‘) supp βˆ…))
111, 10wceq 1533 1 wff ≃𝑐 = (𝑐 ∈ Cat ↦ ((Isoβ€˜π‘) supp βˆ…))
Colors of variables: wff setvar class
This definition is referenced by:  cicfval  17749
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