FV \(\mathrm{FV}\) — Type-Qualified Free-Variables Metatheoretic Operator (Fm.FV, Ctx.FV, ClassTerm.FV, AST Constructor: CpFV / CpCtxFV)
Type-qualified metatheoretic operator Fm.FV(𝛙), Ctx.FV(Γ), ClassTerm.FV(k) returning the class of encoded variable names occurring free in a syntactic expression (note: the binary predicate Fm.IFV(v, 𝛙) / Ctx.IFV(v, Γ) is preferred over x ∈ Fm.FV(𝛙)).
| Field | Mathematical & Kernel Specification (MKTD1 / MKTD2) |
|---|---|
| Symbol |
FV
\(\mathrm{FV}\)
|
| Category | Functional Symbol (Metatheoretic Hygiene Operator) |
| SML AST Constructor | Kernel AST Symbol / Sort Constructor in typetheory.ML (Class_p / Truth_p / EXP / UCol) |
| Constructor Arguments | Typed arguments as specified by the Signature / Sort field above |
| Metatype / Signature | A.Expression → Class |
| Binder Status | See Category & Signature above |
| Defining Kernel Entries (ML Labels) | See Related Symbols & Kernel Entries below. |
| LaTeX Form | \mathrm{FV} |
| How to Understand It | SML AST Constructor: |
| Canonical Law / Usage | Fm.FV(𝛙) , Ctx.FV(Γ) , ClassTerm.FV(k) |
| Related Symbols & Kernel Entries |