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Program

Program->packages

Get the packages field from a program.

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

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

Definitions and Theorems

Function: program->packages$inline

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

Theorem: package-listp-of-program->packages

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

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

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

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

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