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• Valuemap+denv

Valuemap+denv->denv

Get the denv field from a valuemap+denv.

Signature

(valuemap+denv->denv x) → denv

Arguments

x — Guard (valuemap+denv-p x).

Returns

denv — Type (denvp denv).

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

Definitions and Theorems

Function: valuemap+denv->denv$inline

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

Theorem: denvp-of-valuemap+denv->denv

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

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

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

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

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