Symbol Reference: [] — Empty Hypothesis Context / Empty Class List Constant ([])

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[] \([\,]\) — Empty Hypothesis Context / Empty Class List Constant ([])

Denotes the empty hypothesis context [] : Ctx in sequent judgments (𝘞, [] ⊢ 𝛗) or the empty Dunaev class list [] = ∅.

Field Mathematical & Kernel Specification (MKTD1 / MKTD2)
Symbol
[]
\([\,]\)
Category Metatheoretic & Structural 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 Ctx | Class
Binder Status See Category & Signature above
Defining Kernel Entries (ML Labels) See Related Symbols & Kernel Entries below.
LaTeX Form [\,]
How to Understand It

SML AST Constructor: XCtx [] in Ctx_p (typetheory.ML) and empty list in Entry DefClassLists (3.51).

Canonical Law / Usage (𝘍, [] ⊢ 𝛙) → ⟦𝛙⟧
Related Symbols & Kernel Entries