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Iconst

Iconst->core

Get the core field from a iconst.

Signature
(iconst->core x) → core
Arguments: x — Guard (iconstp x).
Returns: core — Type (dec/oct/hex-constp core).

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

Definitions and Theorems

Function: iconst->core$inline

(defun iconst->core$inline (x)
  (declare (xargs :guard (iconstp x)))
  (declare (xargs :guard t))
  (mbe :logic
       (b* ((x (and t x)))
         (dec/oct/hex-const-fix (car x)))
       :exec (car x)))

Theorem: dec/oct/hex-constp-of-iconst->core

(defthm dec/oct/hex-constp-of-iconst->core
  (b* ((core (iconst->core$inline x)))
    (dec/oct/hex-constp core))
  :rule-classes :rewrite)

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

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

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

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