concentrated \(\mathrm{concentrated}\) — Concentrated Set Values Predicate (concentrated, AST Constructor: TpConcentrated)
Unary predicate asserting that for every x ∈ Dom(F), if F(x) is a set then the fiber {y | (x,y)∈F} is a singleton (Entry DefHasConcentratedValues (3.29)).
| Field | Mathematical & Kernel Specification (MKTD1 / MKTD2) |
|---|---|
| Symbol |
concentrated
\(\mathrm{concentrated}\)
|
| Category | Predicate Symbol (Unary Class Predicate) |
| SML AST Constructor | HP (TpConcentrated of 'Class_EXP) [in datatype Truth_p, typetheory.ML:673] |
| Constructor Arguments | 1. Relation class F : Class |
| Metatype / Signature | Class → Bool |
| Binder Status | No — Unary Predicate Symbol |
| Defining Kernel Entries (ML Labels) | See Related Symbols & Kernel Entries below. |
| LaTeX Form | \mathrm{concentrated} |
| How to Understand It | SML AST Constructor: |
| Canonical Law / Usage | (F has concentrated set values) ⟷ ∀(x∈Dom(F))((F(x) set) → ({y|(x,y)∈F} is a singleton)) |
| Related Symbols & Kernel Entries |