valOf / F(x) \(\mathrm{valOf}(F, x)\) — Class Relation Evaluation Functional Symbol (valOf, AST Constructor: CpValOf)
Binary functional symbol F(x) = ⋃{y | (x,y) ∈ F} evaluating a class relation/family F at argument x (Entry DefDependentConditional (3.24)).
| Field | Mathematical & Kernel Specification (MKTD1 / MKTD2) |
|---|---|
| Symbol |
valOf / F(x)
\(\mathrm{valOf}(F, x)\)
|
| Category | Functional Symbol (Binary Class Operator) |
| SML AST Constructor | HC (CpValOf of ('Class_EXP * 'Class_EXP)) [in datatype Class_p, typetheory.ML:566] |
| Constructor Arguments | 1. Relation/function class F : Class; 2. Argument class x : Class |
| Metatype / Signature | Class × Class → Class |
| Binder Status | No — Binary Functional Symbol (Function/Relation Evaluation) |
| Defining Kernel Entries (ML Labels) | See Related Symbols & Kernel Entries below. |
| LaTeX Form | \mathrm{valOf}(F, x) |
| How to Understand It | SML AST Constructor: |
| Canonical Law / Usage | F(x) = ⋃{y | (x,y) ∈ F} |
| Related Symbols & Kernel Entries |