|C| \(|C|\) — Cardinality Functional Symbol (|C|, AST Constructor: CpCard)
Unary functional symbol |C| = ⋂{w | (w∈On) ∧ (C ⪯ w)} mapping a class C to its initial ordinal cardinal (Entry DefCardinality (3.41)).
| Field | Mathematical & Kernel Specification (MKTD1 / MKTD2) |
|---|---|
| Symbol |
|C|
\(|C|\)
|
| Category | Functional Symbol (Unary Class Operator) |
| SML AST Constructor | HC (CpCard of 'Class_EXP) [in datatype Class_p, typetheory.ML:571] |
| Constructor Arguments | 1. Class C : Class |
| Metatype / Signature | Class → Class |
| Binder Status | No — Unary Mixfix Functional Symbol (Initial Ordinal Cardinality |C|) |
| Defining Kernel Entries (ML Labels) | See Related Symbols & Kernel Entries below. |
| LaTeX Form | |C| |
| How to Understand It | SML AST Constructor: |
| Canonical Law / Usage | |C| = ⋂{w | (w ∈ On) ∧ (C ⪯ w)} |
| Related Symbols & Kernel Entries |