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Dirabsdeclor-array

Dirabsdeclor-array->size?

Get the size? field from a dirabsdeclor-array.

Signature
(dirabsdeclor-array->size? x) → size?
Arguments: x — Guard (dirabsdeclorp x).
Returns: size? — Type (expr-optionp size?).

This is an ordinary field accessor created by fty::defprod.

Definitions and Theorems

Function: dirabsdeclor-array->size?$inline

(defun dirabsdeclor-array->size?$inline (x)
  (declare (xargs :guard (dirabsdeclorp x)))
  (declare (xargs :guard (equal (dirabsdeclor-kind x) :array)))
  (mbe :logic
       (b* ((x (and (equal (dirabsdeclor-kind x) :array)
                    x)))
         (expr-option-fix (cdr (cdr (cdr x)))))
       :exec (cdr (cdr (cdr x)))))

Theorem: expr-optionp-of-dirabsdeclor-array->size?

(defthm expr-optionp-of-dirabsdeclor-array->size?
  (b* ((size? (dirabsdeclor-array->size?$inline x)))
    (expr-optionp size?))
  :rule-classes :rewrite)

Theorem: dirabsdeclor-array->size?$inline-of-dirabsdeclor-fix-x

(defthm dirabsdeclor-array->size?$inline-of-dirabsdeclor-fix-x
  (equal (dirabsdeclor-array->size?$inline (dirabsdeclor-fix x))
         (dirabsdeclor-array->size?$inline x)))

Theorem: dirabsdeclor-array->size?$inline-dirabsdeclor-equiv-congruence-on-x

(defthm
 dirabsdeclor-array->size?$inline-dirabsdeclor-equiv-congruence-on-x
 (implies (dirabsdeclor-equiv x x-equiv)
          (equal (dirabsdeclor-array->size?$inline x)
                 (dirabsdeclor-array->size?$inline x-equiv)))
 :rule-classes :congruence)

Theorem: dirabsdeclor-array->size?-when-wrong-kind

(defthm dirabsdeclor-array->size?-when-wrong-kind
  (implies (not (equal (dirabsdeclor-kind x) :array))
           (equal (dirabsdeclor-array->size? x)
                  (expr-option-fix nil))))