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Types

Type-integerp

Check if a type is an integer type [C17:6.2.5/17].

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

Definitions and Theorems

Function: type-integerp

(defun type-integerp (type)
  (declare (xargs :guard (typep type)))
  (or (type-case type :char)
      (type-signed-integerp type)
      (type-unsigned-integerp type)))

Theorem: booleanp-of-type-integerp

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

Theorem: type-integerp-of-type-fix-type

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

Theorem: type-integerp-type-equiv-congruence-on-type

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