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Valuemap+denv

Valuemap+denv->valuemap

Get the valuemap field from a valuemap+denv.

Signature
(valuemap+denv->valuemap x) → valuemap
Arguments: x — Guard (valuemap+denv-p x).
Returns: valuemap — Type (value-mapp valuemap).

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

Definitions and Theorems

Function: valuemap+denv->valuemap$inline

(defun valuemap+denv->valuemap$inline (x)
  (declare (xargs :guard (valuemap+denv-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'valuemap+denv->valuemap))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (value-map-fix (cdr (std::da-nth 0 (cdr x)))))
         :exec (cdr (std::da-nth 0 (cdr x))))))

Theorem: value-mapp-of-valuemap+denv->valuemap

(defthm value-mapp-of-valuemap+denv->valuemap
  (b* ((valuemap (valuemap+denv->valuemap$inline x)))
    (value-mapp valuemap))
  :rule-classes :rewrite)

Theorem: valuemap+denv->valuemap$inline-of-valuemap+denv-fix-x

(defthm valuemap+denv->valuemap$inline-of-valuemap+denv-fix-x
  (equal (valuemap+denv->valuemap$inline (valuemap+denv-fix x))
         (valuemap+denv->valuemap$inline x)))

Theorem: valuemap+denv->valuemap$inline-valuemap+denv-equiv-congruence-on-x

(defthm
 valuemap+denv->valuemap$inline-valuemap+denv-equiv-congruence-on-x
 (implies (valuemap+denv-equiv x x-equiv)
          (equal (valuemap+denv->valuemap$inline x)
                 (valuemap+denv->valuemap$inline x-equiv)))
 :rule-classes :congruence)