≡ \(\equiv\) — Definitional / Syntactic Identity Symbol (≡)
Denotes definitional identity or syntactic abbreviation M ≡ N, distinct from first-order extensional equality X = Y (symbols/eq-pred.html).
| Field | Mathematical & Kernel Specification (MKTD1 / MKTD2) |
|---|---|
| Symbol |
≡
\(\equiv\)
|
| Category | Metatheoretic Relation Symbol |
| 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 | Syntactic / Definitional Equivalence |
| Binder Status | See Category & Signature above |
| Defining Kernel Entries (ML Labels) | See Related Symbols & Kernel Entries below. |
| LaTeX Form | \equiv |
| How to Understand It | Semantics: Asserts that two expressions are definitionally or syntactically identical. |
| Canonical Law / Usage | Fm ≡ Bool.Expression |
| Related Symbols & Kernel Entries |