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Expression-tuple

Expression-tuple->components

Get the components field from a expression-tuple.

Signature
(expression-tuple->components x) → components
Arguments: x — Guard (expressionp x).
Returns: components — Type (expression-listp components).

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

Definitions and Theorems

Function: expression-tuple->components$inline

(defun expression-tuple->components$inline (x)
  (declare (xargs :guard (expressionp x)))
  (declare (xargs :guard (equal (expression-kind x) :tuple)))
  (let ((__function__ 'expression-tuple->components))
    (declare (ignorable __function__))
    (mbe :logic
         (b* ((x (and (equal (expression-kind x) :tuple)
                      x)))
           (expression-list-fix (std::da-nth 0 (cdr x))))
         :exec (std::da-nth 0 (cdr x)))))

Theorem: expression-listp-of-expression-tuple->components

(defthm expression-listp-of-expression-tuple->components
  (b* ((components (expression-tuple->components$inline x)))
    (expression-listp components))
  :rule-classes :rewrite)

Theorem: expression-tuple->components$inline-of-expression-fix-x

(defthm expression-tuple->components$inline-of-expression-fix-x
  (equal (expression-tuple->components$inline (expression-fix x))
         (expression-tuple->components$inline x)))

Theorem: expression-tuple->components$inline-expression-equiv-congruence-on-x

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

Theorem: expression-tuple->components-when-wrong-kind

(defthm expression-tuple->components-when-wrong-kind
  (implies (not (equal (expression-kind x) :tuple))
           (equal (expression-tuple->components x)
                  (expression-list-fix nil))))