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Iconst

Iconst->value

Get the value field from a iconst.

Signature
(iconst->value x) → value
Arguments: x — Guard (iconstp x).
Returns: value — Type (natp value).

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

Definitions and Theorems

Function: iconst->value$inline

(defun iconst->value$inline (x)
  (declare (xargs :guard (iconstp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'iconst->value))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (nfix (cdr (std::da-nth 0 (cdr x)))))
         :exec (cdr (std::da-nth 0 (cdr x))))))

Theorem: natp-of-iconst->value

(defthm natp-of-iconst->value
  (b* ((value (iconst->value$inline x)))
    (natp value))
  :rule-classes :rewrite)

Theorem: iconst->value$inline-of-iconst-fix-x

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

Theorem: iconst->value$inline-iconst-equiv-congruence-on-x

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