set-valued \(\text{set-valued}\) — Set-Valued Relation Predicate (set-valued, AST Constructor: TpSetValued)
Unary predicate (F is set-valued) ⟷ ∀(x:Class)(F(x) set) (Entry DefIsSetValued (3.28)).
| Field | Mathematical & Kernel Specification (MKTD1 / MKTD2) |
|---|---|
| Symbol |
set-valued
\(\text{set-valued}\)
|
| Category | Predicate Symbol (Unary Class Predicate) |
| SML AST Constructor | HP (TpSetValued of 'Class_EXP) [in datatype Truth_p, typetheory.ML:675] |
| Constructor Arguments | 1. Relation class F : Class |
| Metatype / Signature | Class → Bool |
| Binder Status | No — Unary Predicate Symbol |
| Defining Kernel Entries (ML Labels) | See Related Symbols & Kernel Entries below. |
| LaTeX Form | \text{set-valued} |
| How to Understand It | SML AST Constructor: |
| Canonical Law / Usage | (F is set-valued) ⟷ ∀(x:Class)(F(x) set) |
| Related Symbols & Kernel Entries |