		Search-engine friendly clone of the ACL2 documentation.

Gin->const-new

Get the const-new field from a gin.

Signature
(gin->const-new x) → const-new
Arguments: x — Guard (ginp x).
Returns: const-new — Type (symbolp const-new).

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

Definitions and Theorems

Function: gin->const-new$inline

(defun gin->const-new$inline (x)
  (declare (xargs :guard (ginp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'gin->const-new))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (acl2::symbol-fix (cdr (std::da-nth 1 x))))
         :exec (cdr (std::da-nth 1 x)))))

Theorem: symbolp-of-gin->const-new

(defthm symbolp-of-gin->const-new
  (b* ((const-new (gin->const-new$inline x)))
    (symbolp const-new))
  :rule-classes :rewrite)

Theorem: gin->const-new$inline-of-gin-fix-x

(defthm gin->const-new$inline-of-gin-fix-x
  (equal (gin->const-new$inline (gin-fix x))
         (gin->const-new$inline x)))

Theorem: gin->const-new$inline-gin-equiv-congruence-on-x

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