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Constraint-db

Constraint-db->tab

Get the tab field from a constraint-db.

Signature
(constraint-db->tab x) → tab
Arguments: x — Guard (constraint-db-p x).
Returns: tab — Type (constraint-table-p tab).

This is an ordinary field accessor created by defprod.

Definitions and Theorems

Function: constraint-db->tab$inline

(defun constraint-db->tab$inline (x)
  (declare (xargs :guard (constraint-db-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'constraint-db->tab))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (constraint-table-fix (cdr (std::da-nth 0 x))))
         :exec (cdr (std::da-nth 0 x)))))

Theorem: constraint-table-p-of-constraint-db->tab

(defthm constraint-table-p-of-constraint-db->tab
  (b* ((tab (constraint-db->tab$inline x)))
    (constraint-table-p tab))
  :rule-classes :rewrite)

Theorem: constraint-db->tab$inline-of-constraint-db-fix-x

(defthm constraint-db->tab$inline-of-constraint-db-fix-x
  (equal (constraint-db->tab$inline (constraint-db-fix x))
         (constraint-db->tab$inline x)))

Theorem: constraint-db->tab$inline-constraint-db-equiv-congruence-on-x

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