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Const-int

Const-int->iconst

Get the iconst field from a const-int.

Signature
(const-int->iconst x) → iconst
Arguments: x — Guard (constp x).
Returns: iconst — Type (iconstp iconst).

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

Definitions and Theorems

Function: const-int->iconst$inline

(defun const-int->iconst$inline (x)
  (declare (xargs :guard (constp x)))
  (declare (xargs :guard (equal (const-kind x) :int)))
  (mbe :logic
       (b* ((x (and (equal (const-kind x) :int) x)))
         (iconst-fix (cdr x)))
       :exec (cdr x)))

Theorem: iconstp-of-const-int->iconst

(defthm iconstp-of-const-int->iconst
  (b* ((iconst (const-int->iconst$inline x)))
    (iconstp iconst))
  :rule-classes :rewrite)

Theorem: const-int->iconst$inline-of-const-fix-x

(defthm const-int->iconst$inline-of-const-fix-x
  (equal (const-int->iconst$inline (const-fix x))
         (const-int->iconst$inline x)))

Theorem: const-int->iconst$inline-const-equiv-congruence-on-x

(defthm const-int->iconst$inline-const-equiv-congruence-on-x
  (implies (const-equiv x x-equiv)
           (equal (const-int->iconst$inline x)
                  (const-int->iconst$inline x-equiv)))
  :rule-classes :congruence)

Theorem: const-int->iconst-when-wrong-kind

(defthm const-int->iconst-when-wrong-kind
  (implies (not (equal (const-kind x) :int))
           (equal (const-int->iconst x)
                  (iconst-fix nil))))