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/// Read back: read back functions and normal form definitions.
///
/// Converting terms to normal forms with de-bruijn indices so
/// we do not need to deal with alpha conversions when checking syntactic-equality.
///
/// Functions in this module are put into `impl for` blocks, their docs can be found in:
///
/// + [`ReadBack` of `Value`](../../syntax/enum.Value.html#impl-ReadBack)
/// + [`ReadBack` of `Telescope`](../../syntax/enum.GenericTelescope.html#impl-ReadBack)
/// + [`ReadBack` of `Closure`](../../syntax/enum.Closure.html#impl-ReadBack)
///
/// Depends on modules `syntax`.
/// Type-Checking Monad: context, state and error.
///
/// Typing context (`Gamma`) and its updater, the type-checking error and its pretty-printer
///
/// Depends on module `syntax`.
/// Subtyping check: fallback rules of "instance of" checks: infer the expression's type and check
/// if it's the subtype of the expected type.
///
/// Depends on modules `syntax` and `read_back`.
/// Expression checker: infer, instance-of check, normal-form comparison, subtyping, etc.
///
/// Depends on modules `syntax`, `read_back` and `tcm`.
/// Declaration checker: for prefix parameters, simple declarations and recursive declarations.
///
/// Depends on modules `syntax`, `expr` and `tcm`.
/// $$
/// \textnormal{checkD}\quad \rho,\Gamma\vdash_l D\Rightarrow \Gamma'
/// $$
use check_declaration;
use ;
use ;
use crate;
/// `checkMain` in Mini-TT.
/// For REPL: check an expression under an existing context
/// For REPL: infer the type of an expression under an existing context
/// Similar to `checkMain` in Mini-TT, but for a declaration.