Metamath Proof Explorer


Theorem cicfn

Description: ~=c is a function on Cat . (Contributed by Zhi Wang, 26-Oct-2025)

Ref Expression
Assertion cicfn 𝑐 Fn Cat

Proof

Step Hyp Ref Expression
1 ovex ( ( Iso ‘ 𝑐 ) supp ∅ ) ∈ V
2 df-cic 𝑐 = ( 𝑐 ∈ Cat ↦ ( ( Iso ‘ 𝑐 ) supp ∅ ) )
3 1 2 fnmpti 𝑐 Fn Cat