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Constraint-relation

Constraint-relation->name

Get the name field from a constraint-relation.

Signature
(constraint-relation->name x) → name
Arguments: x — Guard (constraintp x).
Returns: name — Type (stringp name).

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

Definitions and Theorems

Function: constraint-relation->name$inline

(defun constraint-relation->name$inline (x)
  (declare (xargs :guard (constraintp x)))
  (declare (xargs :guard (equal (constraint-kind x) :relation)))
  (let ((__function__ 'constraint-relation->name))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (constraint-kind x) :relation)
                      x)))
           (str-fix (std::da-nth 0 (cdr x))))
         :exec (std::da-nth 0 (cdr x)))))

Theorem: stringp-of-constraint-relation->name

(defthm stringp-of-constraint-relation->name
  (b* ((name (constraint-relation->name$inline x)))
    (stringp name))
  :rule-classes :rewrite)

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

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

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

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

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

(defthm constraint-relation->name-when-wrong-kind
  (implies (not (equal (constraint-kind x) :relation))
           (equal (constraint-relation->name x)
                  (str-fix nil))))