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Var/const-dinfo

Var/const-dinfo->value

Get the value field from a var/const-dinfo.

Signature
(var/const-dinfo->value x) → value
Arguments: x — Guard (var/const-dinfop x).
Returns: value — Type (valuep value).

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

Definitions and Theorems

Function: var/const-dinfo->value$inline

(defun var/const-dinfo->value$inline (x)
  (declare (xargs :guard (var/const-dinfop x)))
  (declare (xargs :guard t))
  (let ((__function__ 'var/const-dinfo->value))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (value-fix (cdr (std::da-nth 0 x))))
         :exec (cdr (std::da-nth 0 x)))))

Theorem: valuep-of-var/const-dinfo->value

(defthm valuep-of-var/const-dinfo->value
  (b* ((value (var/const-dinfo->value$inline x)))
    (valuep value))
  :rule-classes :rewrite)

Theorem: var/const-dinfo->value$inline-of-var/const-dinfo-fix-x

(defthm var/const-dinfo->value$inline-of-var/const-dinfo-fix-x
  (equal (var/const-dinfo->value$inline (var/const-dinfo-fix x))
         (var/const-dinfo->value$inline x)))

Theorem: var/const-dinfo->value$inline-var/const-dinfo-equiv-congruence-on-x

(defthm
 var/const-dinfo->value$inline-var/const-dinfo-equiv-congruence-on-x
 (implies (var/const-dinfo-equiv x x-equiv)
          (equal (var/const-dinfo->value$inline x)
                 (var/const-dinfo->value$inline x-equiv)))
 :rule-classes :congruence)