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Prose-val

Prose-val->get

Get the get field from a prose-val.

Signature
(prose-val->get x) → get
Arguments: x — Guard (prose-val-p x).
Returns: get — Type (common-lisp::stringp get).

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

Definitions and Theorems

Function: prose-val->get$inline

(defun prose-val->get$inline (x)
  (declare (xargs :guard (prose-val-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'prose-val->get))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (acl2::str-fix (std::da-nth 0 (cdr x))))
         :exec (std::da-nth 0 (cdr x)))))

Theorem: stringp-of-prose-val->get

(defthm stringp-of-prose-val->get
  (b* ((get (prose-val->get$inline x)))
    (common-lisp::stringp get))
  :rule-classes :rewrite)

Theorem: prose-val->get$inline-of-prose-val-fix-x

(defthm prose-val->get$inline-of-prose-val-fix-x
  (equal (prose-val->get$inline (prose-val-fix x))
         (prose-val->get$inline x)))

Theorem: prose-val->get$inline-prose-val-equiv-congruence-on-x

(defthm prose-val->get$inline-prose-val-equiv-congruence-on-x
  (implies (prose-val-equiv x x-equiv)
           (equal (prose-val->get$inline x)
                  (prose-val->get$inline x-equiv)))
  :rule-classes :congruence)