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Param-declon

Param-declon->specs

Get the specs field from a param-declon.

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

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

Definitions and Theorems

Function: param-declon->specs$inline

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

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

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

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

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

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

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