family / Family \(\mathrm{family}\) — Set-and-Class-Valued Family Predicate (family, AST Constructor: TpFamily)
Unary predicate (F is a family) ⟷ ((F has concentrated set values) ∧ (F has flat proper values)) (Entry DefFamily (3.31)).
| Field | Mathematical & Kernel Specification (MKTD1 / MKTD2) |
|---|---|
| Symbol |
family / Family
\(\mathrm{family}\)
|
| Category | Predicate Symbol (Unary Class Predicate / Conglomerate) |
| SML AST Constructor | HP (TpFamily of 'Class_EXP) [in datatype Truth_p, typetheory.ML:674] |
| Constructor Arguments | 1. Relation class F : Class |
| Metatype / Signature | Class → Bool |
| Binder Status | No — Unary Predicate Symbol (Set-and-Class-Valued Family) |
| Defining Kernel Entries (ML Labels) | See Related Symbols & Kernel Entries below. |
| LaTeX Form | \mathrm{family} |
| How to Understand It | SML AST Constructor: |
| Canonical Law / Usage | (F is a family) ⟷ ((F has concentrated set values) ∧ (F has flat proper values)) |
| Related Symbols & Kernel Entries |