Symbol Reference: ๐˜Œ — Unspecified Elementary Metatheory Constant (๐˜Œ, Eau)

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๐˜Œ \(\mathcal{E}\) — Unspecified Elementary Metatheory Constant (๐˜Œ, Eau)

Constant ๐˜Œ : Theory denoting the unspecified elementary metatheory ranging over {Iฮฃโ‚, PA, ๐˜ซ, NBG, MK} in Lรถb's theorem and Gรถdel's Second Incompleteness Theorem.

Field Mathematical & Kernel Specification (MKTD1 / MKTD2)
Symbol
๐˜Œ
\(\mathcal{E}\)
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{E}
How to Understand It

SML AST Constructor: Eau in Theory_p (typetheory.ML). Governed by Entries ThmLoeb (5.01) and ThmSecondIncompleteness (5.02).
Canonical Law / Usage ๐˜Œ โˆˆ {Iฮฃโ‚, PA, ๐˜ซ, NBG, MK}
Related Symbols & Kernel Entries