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Cgraph-value

Cgraph-value->rule

Get the rule field from a cgraph-value.

Signature
(cgraph-value->rule x) → rule
Arguments: x — Guard (cgraph-value-p x).
Returns: rule — Type (symbolp rule).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: cgraph-value->rule$inline

(defun cgraph-value->rule$inline (x)
  (declare (xargs :guard (cgraph-value-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'cgraph-value->rule))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (acl2::symbol-fix (cdr (std::da-nth 2 x))))
         :exec (cdr (std::da-nth 2 x)))))

Theorem: symbolp-of-cgraph-value->rule

(defthm symbolp-of-cgraph-value->rule
  (b* ((rule (cgraph-value->rule$inline x)))
    (symbolp rule))
  :rule-classes :type-prescription)

Theorem: cgraph-value->rule$inline-of-cgraph-value-fix-x

(defthm cgraph-value->rule$inline-of-cgraph-value-fix-x
  (equal (cgraph-value->rule$inline (cgraph-value-fix x))
         (cgraph-value->rule$inline x)))

Theorem: cgraph-value->rule$inline-cgraph-value-equiv-congruence-on-x

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