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Value?+denv

Value?+denv->value?

Get the value? field from a value?+denv.

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

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

Definitions and Theorems

Function: value?+denv->value?$inline

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

Theorem: value-optionp-of-value?+denv->value?

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

Theorem: value?+denv->value?$inline-of-value?+denv-fix-x

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

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

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