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Constraint-relation

Constraint-relation->args

Get the args field from a constraint-relation.

Signature
(constraint-relation->args x) → args
Arguments: x — Guard (constraintp x).
Returns: args — Type (expression-listp args).

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

Definitions and Theorems

Function: constraint-relation->args$inline

(defun constraint-relation->args$inline (x)
  (declare (xargs :guard (constraintp x)))
  (declare (xargs :guard (equal (constraint-kind x) :relation)))
  (let ((__function__ 'constraint-relation->args))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (constraint-kind x) :relation)
                      x)))
           (expression-list-fix (std::da-nth 1 (cdr x))))
         :exec (std::da-nth 1 (cdr x)))))

Theorem: expression-listp-of-constraint-relation->args

(defthm expression-listp-of-constraint-relation->args
  (b* ((args (constraint-relation->args$inline x)))
    (expression-listp args))
  :rule-classes :rewrite)

Theorem: constraint-relation->args$inline-of-constraint-fix-x

(defthm constraint-relation->args$inline-of-constraint-fix-x
  (equal (constraint-relation->args$inline (constraint-fix x))
         (constraint-relation->args$inline x)))

Theorem: constraint-relation->args$inline-constraint-equiv-congruence-on-x

(defthm
  constraint-relation->args$inline-constraint-equiv-congruence-on-x
  (implies (constraint-equiv x x-equiv)
           (equal (constraint-relation->args$inline x)
                  (constraint-relation->args$inline x-equiv)))
  :rule-classes :congruence)

Theorem: constraint-relation->args-when-wrong-kind

(defthm constraint-relation->args-when-wrong-kind
  (implies (not (equal (constraint-kind x) :relation))
           (equal (constraint-relation->args x)
                  (expression-list-fix nil))))