⋃ \(\bigcup\) — Unary Class Union Functional Symbol (⋃, AST Constructor: CpUnion)
Unary union functional symbol ⋃X = {z | ∃(y:Class)((z∈y) ∧ (y∈X))} (Entries RulClassComprehension (3.01)).
| Field | Mathematical & Kernel Specification (MKTD1 / MKTD2) |
|---|---|
| Symbol |
⋃
\(\bigcup\)
|
| Category | Functional Symbol (Unary Class Operator) |
| SML AST Constructor | HC (CpUnion of 'Class_EXP) [in datatype Class_p, typetheory.ML:570] |
| Constructor Arguments | 1. Class family X : Class |
| Metatype / Signature | Class → Class |
| Binder Status | No — Unary Functional Symbol (Unary Union) |
| Defining Kernel Entries (ML Labels) | See Related Symbols & Kernel Entries below. |
| LaTeX Form | \bigcup |
| How to Understand It | SML AST Constructor: |
| Canonical Law / Usage | ∀(X:Class)(⋃X = {z | ∃(y:Class)((z ∈ y) ∧ (y ∈ X))}) |
| Related Symbols & Kernel Entries |