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Struct-declon-statassert

Struct-declon-statassert->statassert

Get the statassert field from a struct-declon-statassert.

Signature
(struct-declon-statassert->statassert x) → statassert
Arguments: x — Guard (struct-declonp x).
Returns: statassert — Type (statassertp statassert).

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

Definitions and Theorems

Function: struct-declon-statassert->statassert$inline

(defun struct-declon-statassert->statassert$inline (x)
  (declare (xargs :guard (struct-declonp x)))
  (declare (xargs :guard (equal (struct-declon-kind x)
                                :statassert)))
  (mbe :logic
       (b* ((x (and (equal (struct-declon-kind x)
                           :statassert)
                    x)))
         (statassert-fix (cdr x)))
       :exec (cdr x)))

Theorem: statassertp-of-struct-declon-statassert->statassert

(defthm statassertp-of-struct-declon-statassert->statassert
  (b* ((statassert (struct-declon-statassert->statassert$inline x)))
    (statassertp statassert))
  :rule-classes :rewrite)

Theorem: struct-declon-statassert->statassert$inline-of-struct-declon-fix-x

(defthm
 struct-declon-statassert->statassert$inline-of-struct-declon-fix-x
 (equal (struct-declon-statassert->statassert$inline
             (struct-declon-fix x))
        (struct-declon-statassert->statassert$inline x)))

Theorem: struct-declon-statassert->statassert$inline-struct-declon-equiv-congruence-on-x

(defthm
 struct-declon-statassert->statassert$inline-struct-declon-equiv-congruence-on-x
 (implies
      (struct-declon-equiv x x-equiv)
      (equal (struct-declon-statassert->statassert$inline x)
             (struct-declon-statassert->statassert$inline x-equiv)))
 :rule-classes :congruence)

Theorem: struct-declon-statassert->statassert-when-wrong-kind

(defthm struct-declon-statassert->statassert-when-wrong-kind
  (implies (not (equal (struct-declon-kind x)
                       :statassert))
           (equal (struct-declon-statassert->statassert x)
                  (statassert-fix nil))))