function / Func \(\mathrm{function}\) — Set-Sized Function Predicate (function, AST Constructor: TpFunc)
Unary predicate (f is a function) ⟷ ((f is a class-function) ∧ (f set)) (Entry DefSetFunction (3.34)).
| Field | Mathematical & Kernel Specification (MKTD1 / MKTD2) |
|---|---|
| Symbol |
function / Func
\(\mathrm{function}\)
|
| Category | Predicate Symbol (Unary Class Predicate) |
| SML AST Constructor | HP (TpFunc of 'Class_EXP) [in datatype Truth_p, typetheory.ML:678] |
| Constructor Arguments | 1. Class-function f : Class |
| Metatype / Signature | Class → Bool |
| Binder Status | No — Unary Predicate Symbol (Set-Sized Function) |
| Defining Kernel Entries (ML Labels) | See Related Symbols & Kernel Entries below. |
| LaTeX Form | \mathrm{function} |
| How to Understand It | SML AST Constructor: |
| Canonical Law / Usage | (f is a function) ⟷ ((f is a class-function) ∧ (f set)) |
| Related Symbols & Kernel Entries |