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Cgraph-formula

Cgraph-formula->priority

Get the priority field from a cgraph-formula.

Signature
(cgraph-formula->priority x) → priority
Arguments: x — Guard (cgraph-formula-p x).
Returns: priority — Type (pseudo-termp priority).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: cgraph-formula->priority$inline

(defun cgraph-formula->priority$inline (x)
  (declare (xargs :guard (cgraph-formula-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'cgraph-formula->priority))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (pseudo-term-fix (cdr (std::da-nth 4 x))))
         :exec (cdr (std::da-nth 4 x)))))

Theorem: pseudo-termp-of-cgraph-formula->priority

(defthm pseudo-termp-of-cgraph-formula->priority
  (b* ((priority (cgraph-formula->priority$inline x)))
    (pseudo-termp priority))
  :rule-classes :rewrite)

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

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

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

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