class-function \(\text{class-function}\) — Class-Function Predicate (class-function, AST Constructor: TpClassFunc)
Unary predicate (F is a class-function) ⟷ ((F is a family) ∧ (F is set-valued)) (Entry DefClassFunction (3.32)).
| Field | Mathematical & Kernel Specification (MKTD1 / MKTD2) |
|---|---|
| Symbol |
class-function
\(\text{class-function}\)
|
| Category | Predicate Symbol (Unary Class Predicate) |
| SML AST Constructor | HP (TpClassFunc of 'Class_EXP) [in datatype Truth_p, typetheory.ML:676] |
| Constructor Arguments | 1. Family class F : Class |
| Metatype / Signature | Class → Bool |
| Binder Status | No — Unary Predicate Symbol (Class-Function) |
| Defining Kernel Entries (ML Labels) | See Related Symbols & Kernel Entries below. |
| LaTeX Form | \text{class-function} |
| How to Understand It | SML AST Constructor: |
| Canonical Law / Usage | (F is a class-function) ⟷ ((F is a family) ∧ (F is set-valued)) |
| Related Symbols & Kernel Entries |