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Initializer

Initializer->field

Get the field field from a initializer.

Signature
(initializer->field x) → field
Arguments: x — Guard (initializerp x).
Returns: field — Type (identifierp field).

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

Definitions and Theorems

Function: initializer->field$inline

(defun initializer->field$inline (x)
  (declare (xargs :guard (initializerp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'initializer->field))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and t x)))
           (identifier-fix (cdr (std::da-nth 0 x))))
         :exec (cdr (std::da-nth 0 x)))))

Theorem: identifierp-of-initializer->field

(defthm identifierp-of-initializer->field
  (b* ((field (initializer->field$inline x)))
    (identifierp field))
  :rule-classes :rewrite)

Theorem: initializer->field$inline-of-initializer-fix-x

(defthm initializer->field$inline-of-initializer-fix-x
  (equal (initializer->field$inline (initializer-fix x))
         (initializer->field$inline x)))

Theorem: initializer->field$inline-initializer-equiv-congruence-on-x

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