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Program

Program->package

Get the package field from a program.

Signature
(program->package x) → package
Arguments: x — Guard (programp x).
Returns: package — Type (packagep package).

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

Definitions and Theorems

Function: program->package$inline

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

Theorem: packagep-of-program->package

(defthm packagep-of-program->package
  (b* ((package (program->package$inline x)))
    (packagep package))
  :rule-classes :rewrite)

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

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

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

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