𝘍 \(\mathcal{F}\) — Full Sound Henkin-Completed Object Theory Constant (𝘍, Fau)
Constant 𝘍 : Theory denoting the sound (non-r.e.) Henkin-completed full object theory satisfying reflection (𝘍, [] ⊢ 𝛙) → ⟦𝛙⟧.
| Field | Mathematical & Kernel Specification (MKTD1 / MKTD2) |
|---|---|
| Symbol |
𝘍
\(\mathcal{F}\)
|
| Category | Metatheoretic Theory Constant |
| 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 | Theory |
| Binder Status | See Category & Signature above |
| Defining Kernel Entries (ML Labels) | See Related Symbols & Kernel Entries below. |
| LaTeX Form | \mathcal{F} |
| How to Understand It | SML AST Constructor: |
| Canonical Law / Usage | (𝘍, [] ⊢ 𝛙) → ⟦𝛙⟧ |
| Related Symbols & Kernel Entries |