(a, b) \((a, b)\) — Ordered Class-Pair Functional Symbol ((a, b), AST Constructor: CpOPair)
Binary Dunaev ordered class-pair functional symbol (A, B) = mark(A, 1) ∪ mark(B, 2) supporting arbitrary proper classes (Entry DefDunaevOrderedPair (3.76)).
| Field | Mathematical & Kernel Specification (MKTD1 / MKTD2) |
|---|---|
| Symbol |
(a, b)
\((a, b)\)
|
| Category | Functional Symbol (Binary Class Operator) |
| SML AST Constructor | HC (CpOPair of ('Class_EXP * 'Class_EXP)) [in datatype Class_p, typetheory.ML:565] |
| Constructor Arguments | 1. First component A : Class; 2. Second component B : Class |
| Metatype / Signature | Class × Class → Class |
| Binder Status | No — Binary Mixfix Functional Symbol (Dunaev Ordered Class-Pair (A, B)) |
| Defining Kernel Entries (ML Labels) | See Related Symbols & Kernel Entries below. |
| LaTeX Form | (a, b) |
| How to Understand It | SML AST Constructor: |
| Canonical Law / Usage | (A, B) = mark(A, 1) ∪ mark(B, 2) |
| Related Symbols & Kernel Entries |