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Qualified-ident

Qualified-ident->filepath?

Get the filepath? field from a qualified-ident.

Signature
(qualified-ident->filepath? x) → filepath?
Arguments: x — Guard (qualified-identp x).
Returns: filepath? — Type (filepath-optionp filepath?).

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

Definitions and Theorems

Function: qualified-ident->filepath?$inline

(defun qualified-ident->filepath?$inline (x)
  (declare (xargs :guard (qualified-identp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'qualified-ident->filepath?))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (filepath-option-fix (cdr (std::da-nth 0 x))))
         :exec (cdr (std::da-nth 0 x)))))

Theorem: filepath-optionp-of-qualified-ident->filepath?

(defthm filepath-optionp-of-qualified-ident->filepath?
  (b* ((filepath? (qualified-ident->filepath?$inline x)))
    (filepath-optionp filepath?))
  :rule-classes :rewrite)

Theorem: qualified-ident->filepath?$inline-of-qualified-ident-fix-x

(defthm qualified-ident->filepath?$inline-of-qualified-ident-fix-x
  (equal (qualified-ident->filepath?$inline (qualified-ident-fix x))
         (qualified-ident->filepath?$inline x)))

Theorem: qualified-ident->filepath?$inline-qualified-ident-equiv-congruence-on-x

(defthm
 qualified-ident->filepath?$inline-qualified-ident-equiv-congruence-on-x
 (implies (qualified-ident-equiv x x-equiv)
          (equal (qualified-ident->filepath?$inline x)
                 (qualified-ident->filepath?$inline x-equiv)))
 :rule-classes :congruence)