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Iconst

Iconst->base

Get the base field from a iconst.

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

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

Definitions and Theorems

Function: iconst->base$inline

(defun iconst->base$inline (x)
  (declare (xargs :guard (iconstp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'iconst->base))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (iconst-base-fix (cdr (std::da-nth 1 (cdr x)))))
         :exec (cdr (std::da-nth 1 (cdr x))))))

Theorem: iconst-basep-of-iconst->base

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

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

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

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

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