		Search-engine friendly clone of the ACL2 documentation.

Abstract-syntax-operations

Fundef-to-fun-declon

Function declaration of a function definition.

Signature
(fundef-to-fun-declon fundef) → declon
Arguments: fundef — Guard (fundefp fundef).
Returns: declon — Type (fun-declonp declon).

As also explained in fundef, a function definition is essentially a function declaration plus a body, but it is not quite defined like that for the technical reasons explained there. But this ACL2 function explicates that mapping.

Definitions and Theorems

Function: fundef-to-fun-declon

(defun fundef-to-fun-declon (fundef)
  (declare (xargs :guard (fundefp fundef)))
  (let ((__function__ 'fundef-to-fun-declon))
    (declare (ignorable __function__))
    (make-fun-declon :tyspec (fundef->tyspec fundef)
                     :declor (fundef->declor fundef))))

Theorem: fun-declonp-of-fundef-to-fun-declon

(defthm fun-declonp-of-fundef-to-fun-declon
  (b* ((declon (fundef-to-fun-declon fundef)))
    (fun-declonp declon))
  :rule-classes :rewrite)

Theorem: fundef-to-fun-declon-of-fundef-fix-fundef

(defthm fundef-to-fun-declon-of-fundef-fix-fundef
  (equal (fundef-to-fun-declon (fundef-fix fundef))
         (fundef-to-fun-declon fundef)))

Theorem: fundef-to-fun-declon-fundef-equiv-congruence-on-fundef

(defthm fundef-to-fun-declon-fundef-equiv-congruence-on-fundef
  (implies (fundef-equiv fundef fundef-equiv)
           (equal (fundef-to-fun-declon fundef)
                  (fundef-to-fun-declon fundef-equiv)))
  :rule-classes :congruence)