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Valid-table

Valid-table->scopes

Get the scopes field from a valid-table.

Signature
(valid-table->scopes x) → scopes
Arguments: x — Guard (valid-tablep x).
Returns: scopes — Type (valid-scope-listp scopes).

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

Definitions and Theorems

Function: valid-table->scopes$inline

(defun valid-table->scopes$inline (x)
  (declare (xargs :guard (valid-tablep x)))
  (declare (xargs :guard t))
  (let ((__function__ 'valid-table->scopes))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (valid-scope-list-fix (cdr (std::da-nth 0 x))))
         :exec (cdr (std::da-nth 0 x)))))

Theorem: valid-scope-listp-of-valid-table->scopes

(defthm valid-scope-listp-of-valid-table->scopes
  (b* ((scopes (valid-table->scopes$inline x)))
    (valid-scope-listp scopes))
  :rule-classes :rewrite)

Theorem: valid-table->scopes$inline-of-valid-table-fix-x

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

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

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