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Expression-bind

Expression-bind->variables

Get the variables field from a expression-bind.

Signature
(expression-bind->variables x) → variables
Arguments: x — Guard (expressionp x).
Returns: variables — Type (typed-variable-listp variables).

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

Definitions and Theorems

Function: expression-bind->variables$inline

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

Theorem: typed-variable-listp-of-expression-bind->variables

(defthm typed-variable-listp-of-expression-bind->variables
  (b* ((variables (expression-bind->variables$inline x)))
    (typed-variable-listp variables))
  :rule-classes :rewrite)

Theorem: expression-bind->variables$inline-of-expression-fix-x

(defthm expression-bind->variables$inline-of-expression-fix-x
  (equal (expression-bind->variables$inline (expression-fix x))
         (expression-bind->variables$inline x)))

Theorem: expression-bind->variables$inline-expression-equiv-congruence-on-x

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

Theorem: expression-bind->variables-when-wrong-kind

(defthm expression-bind->variables-when-wrong-kind
  (implies (not (equal (expression-kind x) :bind))
           (equal (expression-bind->variables x)
                  (typed-variable-list-fix nil))))