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Struct-sinfo

Struct-sinfo->components

Get the components field from a struct-sinfo.

Signature
(struct-sinfo->components x) → components
Arguments: x — Guard (struct-sinfop x).
Returns: components — Type (type-mapp components).

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

Definitions and Theorems

Function: struct-sinfo->components$inline

(defun struct-sinfo->components$inline (x)
  (declare (xargs :guard (struct-sinfop x)))
  (declare (xargs :guard t))
  (let ((__function__ 'struct-sinfo->components))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (type-map-fix (cdr (std::da-nth 0 (cdr x)))))
         :exec (cdr (std::da-nth 0 (cdr x))))))

Theorem: type-mapp-of-struct-sinfo->components

(defthm type-mapp-of-struct-sinfo->components
  (b* ((components (struct-sinfo->components$inline x)))
    (type-mapp components))
  :rule-classes :rewrite)

Theorem: struct-sinfo->components$inline-of-struct-sinfo-fix-x

(defthm struct-sinfo->components$inline-of-struct-sinfo-fix-x
  (equal (struct-sinfo->components$inline (struct-sinfo-fix x))
         (struct-sinfo->components$inline x)))

Theorem: struct-sinfo->components$inline-struct-sinfo-equiv-congruence-on-x

(defthm
 struct-sinfo->components$inline-struct-sinfo-equiv-congruence-on-x
 (implies (struct-sinfo-equiv x x-equiv)
          (equal (struct-sinfo->components$inline x)
                 (struct-sinfo->components$inline x-equiv)))
 :rule-classes :congruence)