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Defstruct-member-info

Defstruct-member-info->reader-element

Get the reader-element field from a defstruct-member-info.

Signature
(defstruct-member-info->reader-element x) → reader-element
Arguments: x — Guard (defstruct-member-infop x).
Returns: reader-element — Type (symbolp reader-element).

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

Definitions and Theorems

Function: defstruct-member-info->reader-element$inline

(defun defstruct-member-info->reader-element$inline (x)
  (declare (xargs :guard (defstruct-member-infop x)))
  (declare (xargs :guard t))
  (let ((__function__ 'defstruct-member-info->reader-element))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (symbol-fix (cdr (std::da-nth 2 x))))
         :exec (cdr (std::da-nth 2 x)))))

Theorem: symbolp-of-defstruct-member-info->reader-element

(defthm symbolp-of-defstruct-member-info->reader-element
  (b* ((reader-element
            (defstruct-member-info->reader-element$inline x)))
    (symbolp reader-element))
  :rule-classes :rewrite)

Theorem: defstruct-member-info->reader-element$inline-of-defstruct-member-info-fix-x

(defthm
 defstruct-member-info->reader-element$inline-of-defstruct-member-info-fix-x
 (equal (defstruct-member-info->reader-element$inline
             (defstruct-member-info-fix x))
        (defstruct-member-info->reader-element$inline x)))

Theorem: defstruct-member-info->reader-element$inline-defstruct-member-info-equiv-congruence-on-x

(defthm
 defstruct-member-info->reader-element$inline-defstruct-member-info-equiv-congruence-on-x
 (implies
     (defstruct-member-info-equiv x x-equiv)
     (equal (defstruct-member-info->reader-element$inline x)
            (defstruct-member-info->reader-element$inline x-equiv)))
 :rule-classes :congruence)