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Paramdecl

Paramdecl->spec

Get the spec field from a paramdecl.

Signature
(paramdecl->spec x) → spec
Arguments: x — Guard (paramdeclp x).
Returns: spec — Type (decl-spec-listp spec).

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

Definitions and Theorems

Function: paramdecl->spec$inline

(defun paramdecl->spec$inline (x)
  (declare (xargs :guard (paramdeclp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'paramdecl->spec))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (decl-spec-list-fix (cdr (std::da-nth 0 x))))
         :exec (cdr (std::da-nth 0 x)))))

Theorem: decl-spec-listp-of-paramdecl->spec

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

Theorem: paramdecl->spec$inline-of-paramdecl-fix-x

(defthm paramdecl->spec$inline-of-paramdecl-fix-x
  (equal (paramdecl->spec$inline (paramdecl-fix x))
         (paramdecl->spec$inline x)))

Theorem: paramdecl->spec$inline-paramdecl-equiv-congruence-on-x

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