		Search-engine friendly clone of the ACL2 documentation.

Program

Program->imports

Get the imports field from a program.

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

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

Definitions and Theorems

Function: program->imports$inline

(defun program->imports$inline (x)
  (declare (xargs :guard (programp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'program->imports))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (import-list-fix (cdr (std::da-nth 1 (cdr x)))))
         :exec (cdr (std::da-nth 1 (cdr x))))))

Theorem: import-listp-of-program->imports

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

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

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

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

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