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Atj-test

Atj-test->name

Get the name field from a atj-test.

Signature
(atj-test->name x) → name
Arguments: x — Guard (atj-testp x).
Returns: name — Type (stringp name).

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

Definitions and Theorems

Function: atj-test->name$inline

(defun atj-test->name$inline (x)
  (declare (xargs :guard (atj-testp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'atj-test->name))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (str-fix (cdr (std::da-nth 0 x))))
         :exec (cdr (std::da-nth 0 x)))))

Theorem: stringp-of-atj-test->name

(defthm stringp-of-atj-test->name
  (b* ((name (atj-test->name$inline x)))
    (stringp name))
  :rule-classes :rewrite)

Theorem: atj-test->name$inline-of-atj-test-fix-x

(defthm atj-test->name$inline-of-atj-test-fix-x
  (equal (atj-test->name$inline (atj-test-fix x))
         (atj-test->name$inline x)))

Theorem: atj-test->name$inline-atj-test-equiv-congruence-on-x

(defthm atj-test->name$inline-atj-test-equiv-congruence-on-x
  (implies (atj-test-equiv x x-equiv)
           (equal (atj-test->name$inline x)
                  (atj-test->name$inline x-equiv)))
  :rule-classes :congruence)