		Search-engine friendly clone of the ACL2 documentation.

Paramdecl

Paramdecl->decl

Get the decl field from a paramdecl.

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

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

Definitions and Theorems

Function: paramdecl->decl$inline

(defun paramdecl->decl$inline (x)
  (declare (xargs :guard (paramdeclp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'paramdecl->decl))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (paramdeclor-fix (cdr (std::da-nth 1 x))))
         :exec (cdr (std::da-nth 1 x)))))

Theorem: paramdeclorp-of-paramdecl->decl

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

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

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

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

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