Dom \(\mathrm{Dom}\) — Domain Functional Symbol (Dom, AST Constructor: CpDom)
Unary functional symbol Dom(F) = {x | ∃(y:Class)((x,y) ∈ F)} returning the domain class of relation F (Entry DefBigDomain (3.21)).
| Field | Mathematical & Kernel Specification (MKTD1 / MKTD2) |
|---|---|
| Symbol |
Dom
\(\mathrm{Dom}\)
|
| Category | Functional Symbol (Unary Class Operator) |
| SML AST Constructor | HC (CpDom of 'Class_EXP) [in datatype Class_p, typetheory.ML:560] |
| Constructor Arguments | 1. Relation/family class F : Class |
| Metatype / Signature | Class → Class |
| Binder Status | No — Unary Functional Symbol (Domain Operator) |
| Defining Kernel Entries (ML Labels) | See Related Symbols & Kernel Entries below. |
| LaTeX Form | \mathrm{Dom} |
| How to Understand It | SML AST Constructor: |
| Canonical Law / Usage | Dom(F) = {x | ∃(y:Class)((x,y) ∈ F)} |
| Related Symbols & Kernel Entries |