f[A] \(f[A]\) — Relational Image Functional Symbol (f[A], AST Constructor: CpImage)
Binary functional symbol f[A] = {y | ∃(x∈A)(y = f(x))} returning the image of class A under f (Entry DefValueAtArg (3.25)).
| Field | Mathematical & Kernel Specification (MKTD1 / MKTD2) |
|---|---|
| Symbol |
f[A]
\(f[A]\)
|
| Category | Functional Symbol (Binary Class Operator) |
| SML AST Constructor | HC (CpImage of ('Class_EXP * 'Class_EXP)) [in datatype Class_p, typetheory.ML:563] |
| Constructor Arguments | 1. Relation/function class f : Class; 2. Subdomain class A : Class |
| Metatype / Signature | Class × Class → Class |
| Binder Status | No — Binary Functional Symbol (Class Image Operator) |
| Defining Kernel Entries (ML Labels) | See Related Symbols & Kernel Entries below. |
| LaTeX Form | f[A] |
| How to Understand It | SML AST Constructor: |
| Canonical Law / Usage | f[A] = {y | ∃(x ∈ A)(y = f(x))} |
| Related Symbols & Kernel Entries |