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Values+denv

Values+denv->denv

Get the denv field from a values+denv.

Signature
(values+denv->denv x) → denv
Arguments: x — Guard (values+denv-p x).
Returns: denv — Type (denvp denv).

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

Definitions and Theorems

Function: values+denv->denv$inline

(defun values+denv->denv$inline (x)
  (declare (xargs :guard (values+denv-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'values+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-values+denv->denv

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

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

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

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

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