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Group-literal

Group-literal-kind

Get the kind (tag) of a group-literal structure.

Signature
(group-literal-kind lit) → kind
Arguments: lit — Guard (group-literalp lit).

Definitions and Theorems

Function: group-literal-kind$inline

(defun group-literal-kind$inline (lit)
  (declare (xargs :guard (group-literalp lit)))
  (let ((__function__ 'group-literal-kind))
    (declare (ignorable __function__))
    (mbe :logic (cond ((or (atom lit) (eq (car lit) :affine))
                       :affine)
                      (t :product))
         :exec (car lit))))

Theorem: group-literal-kind-possibilities

(defthm group-literal-kind-possibilities
  (or (equal (group-literal-kind lit) :affine)
      (equal (group-literal-kind lit)
             :product))
  :rule-classes
  ((:forward-chaining :trigger-terms ((group-literal-kind lit)))))