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Expression

Expression-kind

Get the kind (tag) of a expression structure.

Signature
(expression-kind x) → kind
Arguments: x — Guard (expressionp x).

Definitions and Theorems

Function: expression-kind$inline

(defun expression-kind$inline (x)
  (declare (xargs :guard (expressionp x)))
  (let ((__function__ 'expression-kind))
    (declare (ignorable __function__))
    (mbe :logic (cond ((or (atom x) (eq (car x) :const))
                       :const)
                      ((eq (car x) :var) :var)
                      ((eq (car x) :add) :add)
                      (t :mul))
         :exec (car x))))

Theorem: expression-kind-possibilities

(defthm expression-kind-possibilities
  (or (equal (expression-kind x) :const)
      (equal (expression-kind x) :var)
      (equal (expression-kind x) :add)
      (equal (expression-kind x) :mul))
  :rule-classes
  ((:forward-chaining :trigger-terms ((expression-kind x)))))