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Decl-spec-declspec

Decl-spec-declspec->arg

Get the arg field from a decl-spec-declspec.

Signature
(decl-spec-declspec->arg x) → arg
Arguments: x — Guard (decl-specp x).
Returns: arg — Type (identp arg).

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

Definitions and Theorems

Function: decl-spec-declspec->arg$inline

(defun decl-spec-declspec->arg$inline (x)
  (declare (xargs :guard (decl-specp x)))
  (declare (xargs :guard (equal (decl-spec-kind x) :declspec)))
  (mbe :logic
       (b* ((x (and (equal (decl-spec-kind x) :declspec)
                    x)))
         (ident-fix (cdr x)))
       :exec (cdr x)))

Theorem: identp-of-decl-spec-declspec->arg

(defthm identp-of-decl-spec-declspec->arg
  (b* ((arg (decl-spec-declspec->arg$inline x)))
    (identp arg))
  :rule-classes :rewrite)

Theorem: decl-spec-declspec->arg$inline-of-decl-spec-fix-x

(defthm decl-spec-declspec->arg$inline-of-decl-spec-fix-x
  (equal (decl-spec-declspec->arg$inline (decl-spec-fix x))
         (decl-spec-declspec->arg$inline x)))

Theorem: decl-spec-declspec->arg$inline-decl-spec-equiv-congruence-on-x

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

Theorem: decl-spec-declspec->arg-when-wrong-kind

(defthm decl-spec-declspec->arg-when-wrong-kind
  (implies (not (equal (decl-spec-kind x) :declspec))
           (equal (decl-spec-declspec->arg x)
                  (ident-fix nil))))