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Atc-arrays

Slong-array-length

Length of an array of type signed long.

Signature
(slong-array-length array) → length
Arguments: array — Guard (slong-arrayp array).
Returns: length — Type (posp length).

Definitions and Theorems

Function: slong-array-length

(defun slong-array-length (array)
  (declare (xargs :guard (slong-arrayp array)))
  (let ((__function__ 'slong-array-length))
    (declare (ignorable __function__))
    (len (slong-array->elements array))))

Theorem: posp-of-slong-array-length

(defthm posp-of-slong-array-length
  (b* ((length (slong-array-length array)))
    (posp length))
  :rule-classes (:rewrite :type-prescription))

Theorem: natp-of-slong-array-length

(defthm natp-of-slong-array-length
  (b* ((length (slong-array-length array)))
    (natp length))
  :rule-classes :rewrite)

Theorem: slong-array-length-alt-def

(defthm slong-array-length-alt-def
  (implies (slong-arrayp array)
           (equal (slong-array-length array)
                  (value-array->length array))))

Theorem: slong-array-length-of-slong-array-fix-array

(defthm slong-array-length-of-slong-array-fix-array
  (equal (slong-array-length (slong-array-fix array))
         (slong-array-length array)))

Theorem: slong-array-length-slong-array-equiv-congruence-on-array

(defthm slong-array-length-slong-array-equiv-congruence-on-array
  (implies (slong-array-equiv array array-equiv)
           (equal (slong-array-length array)
                  (slong-array-length array-equiv)))
  :rule-classes :congruence)