⋂ \(\bigcap\) — Unary Class Intersection Functional Symbol (⋂, AST Constructor: CpInter)
Unary intersection functional symbol ⋂X = {z | ∀(y:Class)((y∈X) → (z∈y))} (Entry DefUnaryIntersection (3.20)).
| Field | Mathematical & Kernel Specification (MKTD1 / MKTD2) |
|---|---|
| Symbol |
⋂
\(\bigcap\)
|
| Category | Functional Symbol (Unary Class Operator) |
| SML AST Constructor | HC (CpInter of 'Class_EXP) [in datatype Class_p, typetheory.ML:569] |
| Constructor Arguments | 1. Class family X : Class |
| Metatype / Signature | Class → Class |
| Binder Status | No — Unary Functional Symbol (Unary Intersection) |
| Defining Kernel Entries (ML Labels) | See Related Symbols & Kernel Entries below. |
| LaTeX Form | \bigcap |
| How to Understand It | SML AST Constructor: |
| Canonical Law / Usage | ∀(X:Class)(⋂X = {z | ∀(y:Class)((y ∈ X) → (z ∈ y))}) |
| Related Symbols & Kernel Entries |