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Valid-table

Valid-table->next-uid

Get the next-uid field from a valid-table.

Signature
(valid-table->next-uid x) → next-uid
Arguments: x — Guard (valid-tablep x).
Returns: next-uid — Type (uidp next-uid).

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

Definitions and Theorems

Function: valid-table->next-uid$inline

(defun valid-table->next-uid$inline (x)
  (declare (xargs :guard (valid-tablep x)))
  (declare (xargs :guard t))
  (mbe :logic
       (b* ((x (and t x)))
         (uid-fix (cdr (std::da-nth 3 x))))
       :exec (cdr (std::da-nth 3 x))))

Theorem: uidp-of-valid-table->next-uid

(defthm uidp-of-valid-table->next-uid
  (b* ((next-uid (valid-table->next-uid$inline x)))
    (uidp next-uid))
  :rule-classes :rewrite)

Theorem: valid-table->next-uid$inline-of-valid-table-fix-x

(defthm valid-table->next-uid$inline-of-valid-table-fix-x
  (equal (valid-table->next-uid$inline (valid-table-fix x))
         (valid-table->next-uid$inline x)))

Theorem: valid-table->next-uid$inline-valid-table-equiv-congruence-on-x

(defthm
     valid-table->next-uid$inline-valid-table-equiv-congruence-on-x
  (implies (valid-table-equiv x x-equiv)
           (equal (valid-table->next-uid$inline x)
                  (valid-table->next-uid$inline x-equiv)))
  :rule-classes :congruence)