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Valid-table

Valid-table->filepath

Get the filepath field from a valid-table.

Signature
(valid-table->filepath x) → filepath
Arguments: x — Guard (valid-tablep x).
Returns: filepath — Type (filepathp filepath).

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

Definitions and Theorems

Function: valid-table->filepath$inline

(defun valid-table->filepath$inline (x)
  (declare (xargs :guard (valid-tablep x)))
  (declare (xargs :guard t))
  (mbe :logic
       (b* ((x (and t x)))
         (filepath-fix (cdr (std::da-nth 0 x))))
       :exec (cdr (std::da-nth 0 x))))

Theorem: filepathp-of-valid-table->filepath

(defthm filepathp-of-valid-table->filepath
  (b* ((filepath (valid-table->filepath$inline x)))
    (filepathp filepath))
  :rule-classes :rewrite)

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

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

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

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