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Convenience-constructors

Constraint/constraintlist-p

Recognize constraints and lists of constraints.

Signature
(constraint/constraintlist-p x) → yes/no
Returns: yes/no — Type (booleanp yes/no).

Definitions and Theorems

Function: constraint/constraintlist-p

(defun constraint/constraintlist-p (x)
  (declare (xargs :guard t))
  (let ((__function__ 'constraint/constraintlist-p))
    (declare (ignorable __function__))
    (or (constraintp x)
        (constraint-listp x))))

Theorem: booleanp-of-constraint/constraintlist-p

(defthm booleanp-of-constraint/constraintlist-p
  (b* ((yes/no (constraint/constraintlist-p x)))
    (booleanp yes/no))
  :rule-classes :rewrite)

Theorem: constraint/constraintlist-p-when-constraintp

(defthm constraint/constraintlist-p-when-constraintp
  (implies (constraintp x)
           (constraint/constraintlist-p x)))

Theorem: constraint/constraintlist-p-when-constraint-listp

(defthm constraint/constraintlist-p-when-constraint-listp
  (implies (constraint-listp x)
           (constraint/constraintlist-p x)))

Theorem: not-constraintp-when-constraint-listp

(defthm not-constraintp-when-constraint-listp
  (implies (constraint-listp x)
           (not (constraintp x)))
  :rule-classes :tau-system)