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Program

Program->defs

Get the defs field from a program.

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

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

Definitions and Theorems

Function: program->defs$inline

(defun program->defs$inline (x)
  (declare (xargs :guard (programp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'program->defs))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (programdef-list-fix (cdr (std::da-nth 2 (cdr x)))))
         :exec (cdr (std::da-nth 2 (cdr x))))))

Theorem: programdef-listp-of-program->defs

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

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

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

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

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