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Types

Type-namedp

Check if a type is a named type.

Signature
(type-namedp type) → yes/no
Arguments: type — Guard (typep type).
Returns: yes/no — Type (booleanp yes/no).

Definitions and Theorems

Function: type-namedp

(defun type-namedp (type)
  (declare (xargs :guard (typep type)))
  (let ((__function__ 'type-namedp))
    (declare (ignorable __function__))
    (or (type-primitivep type)
        (type-case type :internal-named)
        (type-case type :external-named))))

Theorem: booleanp-of-type-namedp

(defthm booleanp-of-type-namedp
  (b* ((yes/no (type-namedp type)))
    (booleanp yes/no))
  :rule-classes :rewrite)

Theorem: type-namedp-of-type-fix-type

(defthm type-namedp-of-type-fix-type
  (equal (type-namedp (type-fix type))
         (type-namedp type)))

Theorem: type-namedp-type-equiv-congruence-on-type

(defthm type-namedp-type-equiv-congruence-on-type
  (implies (type-equiv type type-equiv)
           (equal (type-namedp type)
                  (type-namedp type-equiv)))
  :rule-classes :congruence)