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Struct-declon-member

Struct-declon-member->extension

Get the extension field from a struct-declon-member.

Signature
(struct-declon-member->extension x) → extension
Arguments: x — Guard (struct-declonp x).
Returns: extension — Type (booleanp extension).

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

Definitions and Theorems

Function: struct-declon-member->extension$inline

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

Theorem: booleanp-of-struct-declon-member->extension

(defthm booleanp-of-struct-declon-member->extension
  (b* ((extension (struct-declon-member->extension$inline x)))
    (booleanp extension))
  :rule-classes :rewrite)

Theorem: struct-declon-member->extension$inline-of-struct-declon-fix-x

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

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

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

Theorem: struct-declon-member->extension-when-wrong-kind

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