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Atc-arrays

Sllong-array-length

Length of an array of type signed long long.

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

Definitions and Theorems

Function: sllong-array-length

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

Theorem: posp-of-sllong-array-length

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

Theorem: natp-of-sllong-array-length

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

Theorem: sllong-array-length-alt-def

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

Theorem: sllong-array-length-of-sllong-array-fix-array

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

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

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