		Search-engine friendly clone of the ACL2 documentation.

Cgraph-formula

Cgraph-formula->name

Get the name field from a cgraph-formula.

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

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: cgraph-formula->name$inline

(defun cgraph-formula->name$inline (x)
  (declare (xargs :guard (cgraph-formula-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'cgraph-formula->name))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (acl2::symbol-fix (cdr (std::da-nth 1 x))))
         :exec (cdr (std::da-nth 1 x)))))

Theorem: symbolp-of-cgraph-formula->name

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

Theorem: cgraph-formula->name$inline-of-cgraph-formula-fix-x

(defthm cgraph-formula->name$inline-of-cgraph-formula-fix-x
  (equal (cgraph-formula->name$inline (cgraph-formula-fix x))
         (cgraph-formula->name$inline x)))

Theorem: cgraph-formula->name$inline-cgraph-formula-equiv-congruence-on-x

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