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Programdecl

Programdecl->items

Get the items field from a programdecl.

Signature
(programdecl->items x) → items
Arguments: x — Guard (programdeclp x).
Returns: items — Type (topdecl-listp items).

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

Definitions and Theorems

Function: programdecl->items$inline

(defun programdecl->items$inline (x)
  (declare (xargs :guard (programdeclp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'programdecl->items))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (topdecl-list-fix (cdr (std::da-nth 1 (cdr x)))))
         :exec (cdr (std::da-nth 1 (cdr x))))))

Theorem: topdecl-listp-of-programdecl->items

(defthm topdecl-listp-of-programdecl->items
  (b* ((items (programdecl->items$inline x)))
    (topdecl-listp items))
  :rule-classes :rewrite)

Theorem: programdecl->items$inline-of-programdecl-fix-x

(defthm programdecl->items$inline-of-programdecl-fix-x
  (equal (programdecl->items$inline (programdecl-fix x))
         (programdecl->items$inline x)))

Theorem: programdecl->items$inline-programdecl-equiv-congruence-on-x

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