		Search-engine friendly clone of the ACL2 documentation.

Program

Program->tops

Get the tops field from a program.

Signature
(program->tops x) → tops
Arguments: x — Guard (programp x).
Returns: tops — Type (toplevel-listp tops).

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

Definitions and Theorems

Function: program->tops$inline

(defun program->tops$inline (x)
  (declare (xargs :guard (programp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'program->tops))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (toplevel-list-fix (cdr (std::da-nth 0 x))))
         :exec (cdr (std::da-nth 0 x)))))

Theorem: toplevel-listp-of-program->tops

(defthm toplevel-listp-of-program->tops
  (b* ((tops (program->tops$inline x)))
    (toplevel-listp tops))
  :rule-classes :rewrite)

Theorem: program->tops$inline-of-program-fix-x

(defthm program->tops$inline-of-program-fix-x
  (equal (program->tops$inline (program-fix x))
         (program->tops$inline x)))

Theorem: program->tops$inline-program-equiv-congruence-on-x

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