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Partsum-comp

Partsum-comp-kind

Get the kind (tag) of a partsum-comp structure.

Signature
(partsum-comp-kind x) → kind
Arguments: x — Guard (partsum-comp-p x).

Definitions and Theorems

Function: partsum-comp-kind$inline

(defun partsum-comp-kind$inline (x)
  (declare (xargs :guard (partsum-comp-p x)))
  (let ((__function__ 'partsum-comp-kind))
    (declare (ignorable __function__))
    (cond ((stringp x) :str)
          ((atom x) :idx)
          (t :range))))

Theorem: partsum-comp-kind-possibilities

(defthm partsum-comp-kind-possibilities
  (or (equal (partsum-comp-kind x) :str)
      (equal (partsum-comp-kind x) :idx)
      (equal (partsum-comp-kind x) :range))
  :rule-classes
  ((:forward-chaining :trigger-terms ((partsum-comp-kind x)))))