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Declon-declon

Declon-declon->specs

Get the specs field from a declon-declon.

Signature
(declon-declon->specs x) → specs
Arguments: x — Guard (declonp x).
Returns: specs — Type (decl-spec-listp specs).

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

Definitions and Theorems

Function: declon-declon->specs$inline

(defun declon-declon->specs$inline (x)
  (declare (xargs :guard (declonp x)))
  (declare (xargs :guard (equal (declon-kind x) :declon)))
  (mbe :logic
       (b* ((x (and (equal (declon-kind x) :declon)
                    x)))
         (decl-spec-list-fix (car (cdr (cdr x)))))
       :exec (car (cdr (cdr x)))))

Theorem: decl-spec-listp-of-declon-declon->specs

(defthm decl-spec-listp-of-declon-declon->specs
  (b* ((specs (declon-declon->specs$inline x)))
    (decl-spec-listp specs))
  :rule-classes :rewrite)

Theorem: declon-declon->specs$inline-of-declon-fix-x

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

Theorem: declon-declon->specs$inline-declon-equiv-congruence-on-x

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

Theorem: declon-declon->specs-when-wrong-kind

(defthm declon-declon->specs-when-wrong-kind
  (implies (not (equal (declon-kind x) :declon))
           (equal (declon-declon->specs x)
                  (decl-spec-list-fix nil))))